The Wronskian, W, of the functions y1 = sin(2x) and y2 cos(2x) is %3D

Q: Complete the table by "breaking down"the function into the inner"and "outer" Function dy du dy u du…

A:

Q: Find the Wronskian of the given pair of functions e^(t)sin(t), e^(t)cos(t)

A:

Q: What is the maximum value of y = cos x. For -5 < x <? 1 2 O 1/2

A: Topic = Derivative

Q: Find g'(x) if g(x) = t² cos 6t dt %3D 2

A: We can apply fundamental theorem of calculus here.  The second fundamental theorem of calculus…

Q: Q7 Show that CX,y) =e is Condinuous at co,0)

A: The given function is:  fx,y=e-x2+y2 The given point is 0,0

Q: Q3/ Evaluate the integral: TT ° cos(x²)dx dy

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

Q: Given t2 – 4 f(x) = dt 1+ cos2(t) At what value of x does the local max of f(x) occur?

A:

Q: Q3. (30pt) Calculate the integral 2x³ – 4x + 1 - (1– cos x) dx 1+x? a) for n= 10 according Simpson…

A:

Q: By the even extension method applied to the function f (x) = e¬16x, where x > 0, the value of the…

A: We have to solve given problem:

Q: Find the Wronskian for the set of functions.{1, sin 2x, cos 2x}

A: Here the given function  {1, sin 2x, cos 2x}

Q: Find the Wronskian for the set of functions.{x, sin2 x, cos2 x}

A:

Q: Show that the p.d.f. of Z? is given by g1(x) = cosh(vAr), x > 0, wh cosh(z) = }(e² + e-=) is known…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Use the modified Euler Method to solve the ODE = subject to y 1 when x 0 %3D dx 1+x on the interval…

A: To find y(0.3) by using the modified Euler's method.

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

A:

Q: f arctan y dy 3 ¥

A: Given problem:- ∫arctan(y)/y3 dy

Q: Find the absolute maxlimum of frr.y)=xy subject to the Coustraint glxy)= x²ty²=/

A:

Q: Given t2 – 1 dt 1 + cos²(t) At what value of x does the local max of f(x) occur? f(x): %3D

A: Part 1 of the Fundamental Theorem of Calculus : If  f(x) = ∫axg(t) dt then  f'(x)= g(x)

Q: Q3) Find dy/dt of the function y = cos (5sin (t/3))

A:

Q: Q4) A) Find by using chain rule if f = ( , u=-1, x=-1 dx ++1 B) Evaluate the following integral: V2…

A: Given f(u)=u-1u+12   , u=1x2-1    , x=-1

Q: Given, f (x, y) = sin (x²y – 2x + 4). Find fy. - x cos (x²y – 2x + 4) x² cos (x²y – 2x + 4) O-x² cos…

A:

Q: ().小) of af f(x, y)=sin 1+y, +cos %3D %3D X +1 s215 ||

A: To find The partial derivatives of f(x,y)

Q: Q2// B :- If u+v3e"cos y and u- v=e' sin y find the Jacobain of the function alu,v at dx.yl (x.y)…

A:

Q: ) Given f(x) = t² – 36 dt 1+ cos²(t) Jo At what value of æ does the local max of f(x)|occur? x =|

A:

Q: Find for THREE of the following functions: dx 1-y()+In(cos(x)) + √2-y=2(cos(x))*(x)

A:

Q: find the aradients of the functions below a)f(x, y) = e-3y cos4x

A: We have to find

Q: Calculate L4 for f(x) = 24 cos () over %3D LA

A:

Q: Find the general antiderivative of the given function. f(x)= sin (7y)+ cos (3y)

A:

Q: Find the general form of the antiderivative of g(x) = - cos4x

A:

Q: •1 r1 Evaluate the double integral / /. cos(y*) Vy³dydx

A:

Q: Evaluate Sin (OS - Cos(2x 2. F(Xg.2)2(24-2)で+(2x)デさ(x-g)K C:F(t) = -3€ t+ (2€ + 1) jt4kg ÖZ t<2

A:

Q: Find the G.S.of the DE. (ytu dy=D0

A:

Q: Let z be defined implicitly as a function of x and y by the equation dz 4+ In (xy²) – cos (xy – z) =…

A:

Q: Q3/ a) find the integral f 2* * cos2* dx dx b) the integral J e2x+1

A: Explanation of the answer is as follows

Q: Find a function f that satisfies the equation | f(t) dt = 2 cos x + 3x – 2. %3D -

A: Derivative of a definite integral is: ddx∫0xf(t)dt=f(x) Formulae used: ddxcosx=-sinxddxx=1ddxC=0…

Q: 1 Let J = dx. The substitution x = tan(0) transforms the x2 V9x2 + 1

A: Given,            J=∫1x29x2+1dxTo find: The substitution x=13tanθ transforms then integral J into.

Q: Evaluate the multiple integral cos(x - y) dx dy

A: Here we have, I=∫11+π2∫1ycosx-ydxdy

Q: Let f(x) = e cosx, sx %3D 2. Express your answers in exact form. ElN

A: Inflection point occurs when the second derivative of the function equals to zero.

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: Show all steps to verify that fry = fyx given f(x, y) = cos(2x) – x²e5y + 3y²

A:

Q: Determine the numerical value of dF of the function F(x, y) = e-3y cos(nx) given that X = 1, y =…

A:

Q: evaluate using Integration by Parts.

A:

Q: Given f(x,y) = ex cos y, Evaluate fy(2,0) O e² cos 2

A:

Q: Find the and of the following function; дх ду (a) z = xln(xy) + y³, y= cos(x² + 1) (b)z = V x² +…

A:

Q: Obtain the approximate answer for 2 cos(x )dx using the trapezoidal method so 3) that the maximum…

A:

Q: Find the value(s) of @ for which y = cos ot satisfies d'y + 16y = 0. di? Enter your answers in…

A:

Q: b. Find y' of the following function using MATLAB y = sec(In(2M * x))e5x + cos(2Nx)

A:

Q: Given x² + 13x + • 40 f(t) = 1+ cos2(x) At what value of t does the local max of f(t) occur? rp- t =

A: Here, the given function is: f(t)=∫0tx2+13x+401+cos2xdx

Q: H.W- Compute y( E) with y-J = -8(Sinx+ cosX) 9(T)=0, ý(T) = -8 %3D

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.