Find a, b, and c for the function f(x) = a sin(bx – c) such that the graph of f matches the figure. f(x) = %3D y 10r f 8 9. 4 -27 2]

Q: 10. Approximate a value of z e [0,1] so that the length of the graph of f(x) tan(vx2 + 1) on [0,z]…

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Q: The function yow) satisfies the differantial equation x dy + ay Cos(xx) ak y(1) = 1 , the valu of…

A: Given differential equation is  xdydx+2y=cos(πx)x,y(1)=1

Q: Find f(x).

A: Given,

Q: 3 Use the definition 平grien FuncTionsEat'co,): for ー X+y X-ツ ix=ツ ) fory) =) singty4) ーty2 (x) #…

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Q: find fx and fy of the given function        f(x,y) = x^y sin^-1(e^x+y)

A: Given: fx,y=xysin-1ex+y To find: fx and fy Solution: fx means patial derivative of given function…

Q: 1. Given f(x) = a? + 3x – 1, g(a) = VT + 2, and h(x) = e", find - (i) g + h (ii) fh (iii) ho f

A: According to the guidelines in case of multipart questions  we are only allowed to do first three…

Q: 2. The difference between the greatest and least values of the function T T f(x) = sin 2x - x on - 2…

A: Greatest and lowest value may be differ from local maximum and local minimum in a closed interval.

Q: For the function f(x,y)= (x² + y²) tan(ln(xy)) + e(x-y) which of the following is the value of…

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Q: C) It is given that f(x) = tan¯*(1 +x). 1 Find f(0) and f'(0), and show that f "(0) = 2 (i)

A: Given:                           f(x)=tan-1(1+x)   To determine:                            f(0) and…

Q: Given a function f(x,y,z) = (x+3) In (6y – 4) sin (10z). Find the range of the function. O a. […

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Q: Given a function f(x,y,z) = (x+6) In (2y - 9) sin (6z). Find the range of the function. o a.…

A: Please see the below picture for detailed solution.

Q: a) Compute  d/dx cot(x2  + x sin(x10 + x4 +1)) b) Suppose f(x) is a differentiable function and…

A: We have to solve

Q: dx - - In[F(x)]+C. What is f(/5) ir c = 0? For I (x+x³)(x Tan-'x+ 1) A 3 B D + 3

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Q: Suppose z is a function of x and y. Solve for dz if tan Vy? + x2 + z = z"e6y.

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Q: Given that f"(x) = cos(x), f'(T/2) = 2 and f(T/2) = 12 find: %3D - f'(x) = f(x) =

A: Given: f''(x)=cosx

Q: Given t2 -9 3 (2)f (=) = / dt 1+ cos (t) At what value of x does the local max of f(2) occur? %3D

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Q: Find the range of the function f : R R,f(x) = x² – 4x + 3. Select one: a. [-1, co0) b. (-∞, 1] U [3,…

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Q: (2) Find the following a f a.) f (x,y) = cos (x y) -x³+y4, find D fyx and i) axaxa %3D

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Q: L=2-36X, y'co) =5, and ylo)=S x)

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Q: Evaluate and approximate f(x) dx of the functions in Table 3. ,2 4 1/(1 + x*) V1+ x² | sin(y) e

A: NOTE: According to guideline answer of first question and first three subpart can be given, for…

Q: If f(t) = cos t and f(0) what is the exact value of 4 f(0) + f(0+ 27) + f(0 + 47) ?

A: Given : f(t) = cos t and f(θ) and -1/4

Q: 6. The function f (x) =cos (In x) exhibits two (2) local extrema and one inflection on the interval…

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Q: Which function is obtain by shifting the graph of f(t) = sin 3t a %3D distance of 3T/2 units to the…

A: In this question we use the concept of shifting the graph. When the graph is shift towards right or…

Q: dx -= In[F(x)]+C. What is F(/3) if C= 0? For (x+x³) (x Tan-!x+1) (A

A: We will integrate first then find F(x).

Q: Find a function of the form f(x) = a sin(bx + c) such that the graph of y 6f 5 4 BR E 37 2 2 -2 3 -4…

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Q: 3. If f(x) = cos(x), determine f(125) (-T). V2 (B) 2 (A) 0 (С) 1 (D) –1 1 (E)

A: we will use nth derivative formula of cosx .

Q: 3. (a) Determine whether the function y=1-cosx is even, odd or neither. (b)Find antiderivative of 3…

A: Consider the given function as y=1-cosx. Check the function is odd or even as follows. let…

Q: df If f(x) = e" In x, then, when x 1, is dz nonexistent O 1/e O 2/e e

A: Answer is below

Q: The value of b for which the function f (x) = sin x- bx + c is decreasing for x E R is given by (a)…

A: Given function is f(x)=sinx-bx+c differentiating with respect to x we have, f'(x)=ddx(sinx-bx+c)…

Q: C) It is given that f(r) = tan¯*(1 +x). (i) Find f(0) and f '(0), and show that f "(0) =

A: Given Fx=tan-11+xwe find F0,F'0 and prove F''0=-12

Q: Suppose f(x, y) = 2 sin(11xy) and g(x, y, z) = V144 – x² – y² - 2². Find the following function…

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Q: find ao for f(x)=cos 2 [0,2m] .a .b IT .C 2n .d 2

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Q: 2. Find f'(x) and simplify the result. r°(7 – 2x)3 V(1+5x)3 f(x) = arctan(/5+x?) b. f(x) = ln а. %3D…

A: (a)

Q: dx - = In[F(x)]+C•What is f(/3) For if C = 0? (x+x³) (x Tan-!x+ 1)

A: A detailed solution is given below

Q: The residue of the function (z+i)3 sinz is (iii)

A: a) The objective is to find the residue of the function sinzz+i3  b) The objective is to find the…

Q: Given f(2) = . t2 – 1 dt 1+ cos?(t) At what value of x does the local max of f(x) occur? x =

A: Given the function

Q: Given a function f(x,y,z) = (x+1) In (2y - 6) sin (5z). Find the range of the function. o a.…

A:

Q: Q5) Find f((s) if you know that g(x) = cos(x² – 1). S(x) = 3tan(x*) at vr?

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Find (f1) (a). f(x) = tan-(x) 6x2, a = 0 (F-1)'(a) = Additional Materials

A: We use the property of function and inverse function and differentiate both sides with respect to x.…

Q: What is the value of b3 for the following function? for t = -T, cos 2t for t €]- 7,0[, f (t) = for t…

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Q: f(t) = (+ 1. Find the forier tansform of F(1) = (+) for t >0 %3D 3

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Q: dx -= In[F(x)]+C What is F(3) if C = 0? For (x+x*) (x Tan-lx+1) 1 V3 3 R| |6 一3

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Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function z = x3y2 sin(xy)…

A: Given below clear explanation

Q: dx - = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) 3 6. V3 +

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Q: The function f : XI→ a + b cos x, is defined for 0 sxs 2n. Given that f(0) = 10 and that f (n) = 1 ,…

A: The range of a function is the values that can be obtained from the function by substituting all the…

Q: Q5) Find f(s) if you know that g(x) = cos(x - 1). S(x) = 3tan(x*) at v2

A: I am giving answer of 1st question  Please repost the another question as next question

Q: a² f For the function ƒ(x,y), compute Or d0 if x =r cos O and x=r sin 0 .

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Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function z = x³y? sin(xy)…

A: Given below clear explanation

Q: Define f e C[0, T/4] by f(x) = sin(x) – cos(x). Among all functions g E C[0, T /4] such that 1…

A: In the given question we we have to find the function g(x) s.t g∈[0,π/4]and satisfy the condition…

Q: Q2) a) Find f xein(x²+5) cos(x? + 5) dx

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.