Find the 5th order Taylor polynomial about a = r for sin x.

Q: (А) True B) False

A:

Q: k. f(x)=cosh(x³)+ sinh(10x) 1. f(x)=In(x* +1)

A:

Q: Co. If FCx)=3x-4,+4+1,finelf(xland f"(x)

A: To find out f'(x) and f"(x).

Q: 4 (2, 4) y = 2x y = x? Using a vertical element of area, the area of the shaded region is given by…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, ) = 4x + 2y +z subject to z +…

A:

Q: find the area of the shaded region

A:

Q: dy = f(x, y) = x' + y', y(1) = 5 %3D dx 39- find y(3) value by euler method, take step size; h= 1.…

A:

Q: Example:- Find the general solution of 1) xdy – ydx = 0 2) xcosh(y)dy – sinh (y) dx = 0 3)2dx –…

A: We need to find general solutions.

Q: x²+1 Find J+3x+1 11.

A:

Q: Csin $ 3 y cos*3 ychy

A:

Q: Find the direction angle of v for the following Vel v = - 6i- 3j What is the direction angle of v?

A: On solving this we will get

Q: Determine the area of the given region. y = x + sin x y 4 3

A:

Q: system which is represented by the given equation below, is able to work effectively ven when the…

A: Given, f(x) = 7x ^ 3 - 0.31x ^ 2 + 8x - cos(x).

Q: y= md y=x+2 ... and Revolve the area about the x-axis. Using circular ring method, the volume of the…

A:

Q: 8. The rationalizing substitutionw + 4 = u² transforms - dw into w+4 A. fu² - 4°du B. 2fu² - 4}du C.…

A: Given: I=∫w2w+4dw  ...1   As we know that; The Power law: ddxxn=nxn-1 And ∫a·fxdx=a·∫fxdx , where a…

Q: The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec x…

A:

Q: Find the area of the shaded region. x = -y x = 2 – y? -2 A B 10 2. 2. 3.

A:

Q: Suppose we want to evaluate the following indefinite integral -53z? + 98z +172 dr (z – 2){(7z + 12)…

A: Solving

Q: 20. The length of a rectangle is increasing at a rate of 5 cm/sec and the width is decreasing at a…

A:

Q: P1: 2 cos-1 x dx 1xo

A:

Q: 3873727x3737

A:

Q: 12. y" +y = séc' x tan x.

A: Let's find.

Q: y = 4 (2,4) A y = 2x x = 2 B y =x (0,0) Region A is bounded by the lines y= 2x, y= 4 and the y-axis.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 1 Σ 'n² +1 ln + 30 1 4 + 9 27 81 243 729 8 16 9

A:

Q: is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

A:

Q: Use the integral test to determine the convergence or divergence of the series. 00 cos 1/k 21) E k2…

A:

Q: 3) Compute the cross product: x

A: Let vectors are given as       a = 4i-j+2k    &   b = -5i -3j+10k

Q: Evaluate the defınite integral. i+e"j+t k)dt O el2 12-( - 1) + O el2 – 1 i+ (e-' – 1) j + k el2 – 1…

A: ∫01e12ti + e-t j + t kdt=e12t12i -e-t j + t22 k01=e12112i -e-1 j + 122 k-e12012i -e-0 j + 022…

Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

A:

Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

A:

Q: The differential equation (x²y-2x- 3)dx+ 2dy=0 O Linear in y Linear in x O Homogenous O Exact

A: Given a differential equation

Q: Type the correct answer in each box. Create a matrix for this linear system: (3x+2y+z D26 I-4y -11…

A:

Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vtk NOTE: Enter your answer in terms of i, j, and k.…

A:

Q: Determine convergence or divergence of the alternating series. 24) E (-1)n 6n5 + 5 n = 1

A:

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: S cosh(5x – 7) dx

A: The given integral is:∫cosh5x-7dx

Q: 2. Find the desivative ofy= Binx

A:

Q: The Mean Value Theorem states: For any function, f, differentiable on (a, b) and continuous on [a,…

A:

Q: Find the equation of the tangent line to the graph of y = x3 + 3x2 + 2 at its point of inflection

A:

Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A:

Q: e4z+1 dx e2r – 1 17.

A:

Q: Use the limit comparison test to determine if the series converges or diverges. 00 22) E 6n3/2 + 7n…

A:

Q: Write the first four terms of {an}. n + 1 10) an 3n - 1

A:

Q: What type of DE is the following? xydx + (x2 – 3y)dy=0 O Bernoulli in x Bernoulli in y O Linear in x…

A:

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Let's find.

Q: .9 dx The integral of the given function is equal to 4 x-Vx a. In2 b. In3 c. In4 d. In5 e. None of…

A:

Q: 9. Verify the identity 1 1 = 2 sec² x 1-sinx 1+sin x

A:

Q: Find the divergence of the vector field F. F(x, y, z) = In(9x2+ 6y² )i + 54xyj + In (6y? + 5z?)«…

A: To find the divergence of given vector field

Q: y = xx, x = 4, and y = 0 ... Revolve the area of the shaded region about the line x = 4. Using…

A: We have to apply circular discover method to solve the problem

Q: Evaluate the definite Integral by the limit definition. Step 1 To find the deinite Integral by the…

A: