Select all that apply about an integral. Represents the area between the function, the x-axis, x=a and x=b. The inverse of differentiation Represents the instantaneous rate of change. Represents the slope of the tangent line.

Q: Solve the FIRST ORDER LINEAR D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

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Q: Evaluate the following integrals. 1. 2 xe e²x dx

A: according to bartleby guideline we do only first part of multiple  1)   formula for integration by…

Q: For each of the following repeating decimals, determine the fraction in lowest terms represented by…

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Q: 5. Given A(1, 2), B(4, 9), and C(-4, 8), find the measure of ZA.

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Q: 1. Write as a piecewise function f(x) = |x +4| X- - 5*

A: put x+4=0x=-4when x≥-4 , f(x)=x+4when x<-4,  f(x)=-(x+4)=-x-4

Q: Evaluate the integral dx (6x + 9) ³¹ by making the appropriate substitution: U= f dx (6x + 9)³

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Q: Let R be a relation on A = {1, 2, 3, 4}, such that: R4 = {(x,y) / x multiple of y} R5 = {(x,y)/y =…

A: Note : Not able to understand R6.

Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.002t² +0.7t, where…

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Q: Please write in a better format. I do not understand how the problems is developed when letters and…

A: To determine the second derivative of the following parametrically defined curve.xt=2 sin3tyt=-cos3t…

Q: 16. f sect (sect + tan t) dt

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Q: Let f′(x)=√x−2 and suppose that f(9)=4. What is the value of the constant term in f(x)

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Q: COPY EDIT NOTE: THIS SHOULD NOT BE A PARTS QUESTION. Find each of the following. a = b = (a) a + b…

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Q: Use integration by parts to evaluate the integral: 7x dx = f9x²³e¹²d

A: Given query is to find integral.

Q: S S sin 13x dA, R: 0≤x≤ 3,0 ≤ y ≤ 13' R

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Q: . (2,3), (4,-5)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find a Cartesian equation equivalent to the polar curve r sine = lnr + Incos.

A: Given: Now,                  r sinθ=ln r+ln cos θ⇒r sinθ=ln r cos θ⇒x=ln y⇒y=ex

Q: Write an equation in slope intercept form of the line with the given parametric equation:  X=3T-10…

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

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Q: 2-x₂ B) AS²(2-1) √u du -1 1 3 -n cl /2-x dx= (2-u) √udu P

A: Given query is to find the integral after substitution.

Q: Which of the following statements is/are TRUE? 1. Sese u du = [sec{u- =]du 2

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Q: Graph each function using radians. 4) y = 4cos 0 6) y = 2cos Т Л Ө 2 2л Зл 2л 2 Зл 4 5л Зл 2 5 бл 5)…

A: The given functions, 4) y=4 cosθ 5) y=sin 4θ 6) y=2cosθ2. We have to sketch graph of the each…

Q: 2. (D4 + 5D²+4) y cos (3x +4

A: We need to find out the general solution of the differential equation.

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (2) Σ…

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Q: Evaluate the definite integral: π/2 cos(z) π/6 sin¹(z) L dz = (1/(sin

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Q: Given that the graph of f(x) passes through the point (4, 10) and that the slope of its tangent line…

A: ginen slope is  2x+7 passes throught  (4,10)∫xndx=xn+1n+1+cslope =f'(x)=2x+7

Q: on’t graph. Just what are the inflection points and relative min/max?

A: here , we have some properties of a function f(x) ,  then ,  we have to find its inflection point…

Q: The angle of elevation to the top of a Building in New York is found to be 6 degrees from the ground…

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Q: An isosceles triangle is inscribed in a circle of radius 20cm. Find the dimensions of the largest…

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Q: 4. If f(x) = ax² + bx² +cx+d, f(0) = 5, f'(0)=-4, f"(0)=-62, and f"(4)=36, determine f(a+b-c+d).…

A: Given f( x ) = ax4 + bx2 + cx + d f( 0 ) = 5 f'( 0 ) = -4 f''( 0 ) = -62 f'''( 4 ) = 36

Q: Suppose f''(x) = 54x − 12, ƒ'(1) = 8, and f(1) = = - 13. Then f(x) Question Help: Video Written…

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Q: 2. Show that csc(2t) = tan(t)+cot(t) 2

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Q: all possible rectangles with perimeter 8.6. Determine which has the maximum area.

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Q: 9. The area of the region S that lies under the graph of the continuous function is the limit of the…

A: Please see the below picture for detailed solution.

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

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Q: Consider the line y = ax, where a is a positive constant. What is the shortest distance between the…

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Q: 12. R(y) = fr 1³ sint dt

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Q: Sketch the graph of 1. f(x) = -2 6 4 +2 2 2 -4 -6 دا 2 + 2, 2 < 0 22 + 2, 2 2 0 2 3. 4. 5. -4-2 6 4…

A: Option (1) is correct answer.. I have solved step by step in detail...go through the solution

Q: 6. 4. 2. 2 Use the graph to determine lim f(x). x →4 1. limit = 7 2. limit= 5 3. limit does not…

A: Given query is to find indicated limit form the graph.

Q: SS (√x + √y) dA, R: 0≤x≤ 1,0 ≤ y ≤1 R

A: The given integral, ∬Rx+ydA, R:0≤x≤1, 0≤y≤1 We have to evaluate this integral. Use the formula…

Q: 1. Find the formula for the inverse function of f(x): f^(-1)(x) Express as f^(-1)(x)= ƒ(x) = √−2x −…

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Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (b) Σ…

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Q: The acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

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Q: Use linear approximation to approximate 1.1 to 6 decimal places

A: GIVEN :1.13

Q: Given f(x) = ax³ + bx² + 9x + c. Find b so that (2,3) is a point of inflection of the graph of f and…

A: The inflection point of the graph of f is (2, 3). So,                  f''(x)=0 at (2, 3)⇒6ax+2b=0…

Q: Suppose ƒ''(x) = 18x − 4, ƒ'( − 1) = 8, and ƒ( − 1) = − 6. Then f(x) = = Question Help: Video…

A: Given f''( x ) = 18x - 4 f'( -1 ) = 8 f( -1 ) = -6

Q: Use trigonometric identities and algebraic methods, as necessary, to solve the following…

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →when x = 1, y = 1

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Q: 15 A company's marginal cost function is c(x)=- where x is the number of units. Find the total cost…

A: NOTE: Refresh your page if you can't see any equations. . the given marginal cost function is

Q: Find the function g(z) satisfying the two conditions: 1. g'(x) = -4096 - 1³ 2. The maximum value of…

A: To get maximum value of g(x) we put, g'(x)=0 So, x³= -4096 So, x= -16 is a critical point of g(x)