4. 2?y + x(x + 2)y = e

Q: The function below is an evaluation of which integral? * 3 (z° + 16) +c 48x3 Vo2 + 16 dæ 16 da Optio...

A: Since you have Posted multiple questions as per guidelines we can solve only one question at a time,...

Q: 1 + 10/x| dx 3x3

A:

Q: H.W: 1. find the derivative of the function f(x, y, z) = xy+ yz+ zx ,at the point P,(1,-1,2) in the ...

A:

Q: Compounded semiannually The principal represents an amount of money deposited in a savings account s...

A: Given : Principal : $8000 Rate = 2% Time = 5 years  

Q: i da

A:

Q: z sin(2- 32)+cos(2 - 3a)+c | 4x cos(2 – 3x) dx 4x cos(3 3r) dx Option 1 Option 2 |4 cos(3- 3z) dr 4....

A:

Q: 2x – x° dx (x – 1)° (x² + 1) 8.

A:

Q: X2 X1 b) x, 2 x, ; - x, + 2.x, 2 2 a) x, 2 2x,; - x, +2.x, <2 c) x, Sx,; -x, +2x, 2 2 d) x, <x,; - x...

A: Consider the figure given below :  

Q: Find y' and y''. y = lnx + (7+x^2)^1/2

A: We can find y' and y'' as below

Q: 15. Write a value in the box below that make the equation true. 1 log, 18 = 2-log, 6 - 4 log, %3D 3

A: Given query is to find the unknown value of the box .

Q: 2tan4xdx 2 - tan~4x

A: Given problem:-

Q: use the Monotone Convergence Theorem to show the sequence In! converges and find its limit.

A:

Q: 1 Evaluate e" cos 2z z dz COS 4 32/65 e^(2z) cos(z/4) - 4/65 e(^2z) sin(z/4) + c O 32/65 er(2z) sin(...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Evaluate [sec^2 (-1-0.1i)][tan(12-36i)]. Express your answer in rectangular form in 4 decimal places

A: The given expression is sec2-1-0.1itan12-36i. We have to find the rectangular form.  

Q: 2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: Determine whether the alternating series converges. k +1 E(- 1)*+1. 6k + 1 k=1 O The series converge...

A: Option B

Q: 1094 26. A pizza is removed from the oven at a temperature of 425 F. After 15 minutes, the pizza has...

A: 26. initial temperature a = 425 F time t = 15 minutes final temperature y= 200 F    exponential func...

Q: 7. Fill in the boxes below to create an equation equivalent to the equation x = 40. %3D log

A: 7. The equation is given by x3 = 40                         ..........1 To evaluate: An equation equ...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: Find the DE whose general solution is y = Ae Bx A. yy" - (y')2 = 0 B. yy" + (y')2 = 0 C. yy"- y' = 0...

A:

Q: Let x be real, what is the value of sin(2Cot^−1(1+x))

A:

Q: 5. Determine whether the function f : R+ → R defined by the rule f (x) = positive real numbers x in ...

A: A function is said to be bijective if the function is both one one and onto. The given function is f...

Q: tan (x – 2) sin(r – 2)4 Evaluate: lim -

A: we want to find the value of limit   limx→2tan2(x-2)sin(x-2)4

Q: Consider the following functions. f ((-3,-2), (2, 0), (1, – 1), (–2,-5)} and 8= (5,0), (0, 1), (1, 1...

A:

Q: Select all that apply. Solve for x, 0 g x< 360. sin 2x - cos x = 0 O 150 270 O 30 90

A: sin2x-cosx = 0 solve for x 

Q: Write a function in any form that would match the graph shown below. 20 16

A: Given: - The graph of the function is, To find: - A function in any form that would match the graph...

Q: 2x – x3 - 1. Evaluate dx. J (x – 1)²(x² + 1) - 2. Use the previous item to determine if the improper...

A: We have to solve integration

Q: Let A = and B = , P = (9, 8, 7) c. find an equation for the plane containing A and B and the point ...

A:

Q: 10. The following is a power series except for 00 00 (x – 1)" 00 (2х + 5)3п b. 2n Σ а. (2 — 5х)" nn ...

A: Power series is a series of the form ∑n=0∞ cn(x-a)n

Q: Consider the function f(x) = zX - 6A Let R be the region bounded by the curves 3 y = f(x) and y = 0 ...

A:

Q: sinødø The is equal to cos*Ø tan30 А. +C 3 sec³ø В.- + C sin³Ø C.- +C 3 cos³Ø D. +C 3 E.None of the ...

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A:

Q: Calculate the partial derivatives and using implicit differentiation of (TU – V)² In (W – UV) = In (...

A: Given problem:-

Q: Solve the differential equation (r² + 1)y – 2ry – 2x = 0 using the method of exact equations;

A:

Q: Suppose that R is the finite region bounded by y = x, y = x + 1, x = 0, and a = 5. Find the exact va...

A:

Q: 1. S Vx²-1 dx dx 4. S x² /x2-9 dx 5. J 16-9x 2. S dx x/16-9x2 4-x2 3. J 1+x2 dx

A: Given

Q: Given: sin a = and cos x = - 13; evaluate the following expression. (A: Quadrant I, x : Quadrant II....

A: We have,  cosx = -1213 Formula Used:  cos2x = 2cos2x-1 To evaluate: The value of cos2x

Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t ...

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of an...

A: Solution is given below:

Q: Question 3 ) For the function 4Vi + 2t + 1 f(t) = consider the definite %3D integral 2 - f(t) dt. a)...

A:

Q: Given x+ y +z= 5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at t...

A: Here is the solution

Q: п+1 а) Σ п+1 (-1)"*1 п-1 00 п (-1)" b) E 3" n=1 п 00 п (-1)"(5n–1) Σ 4n+1 n=1

A: In this question we have to determine whether the series is converges or diverges.

Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of...

A:

Q: Consider the curve f(x)= sinx - cosx + 1 i) find f'(x) ii) Hence or otherwise, find the maximum an...

A: f'(x)=differentiates f(x) w.r.t x

Q: Find Vƒ(P) and D7f(P). (a) f(r, y, 2) = yf + z² – 4xz; Ū = } i – $ j+ k; P(-2,1,3)

A:

Q: the figure attached, an equilateral triangle is inscribed in a circle. How many times greater is the...

A:

Q: lim + sin(x)cos(x) 1+ In (x)

A:

Q: a) f (x) = 6x5 – 3x? + 9x – n b) h(x) =D + vZx-제

A:

Q: The rate of growth of a plant is proportional to the difference between its height h and the maximum...

A: The given data is: The rate of growth of a plant is proportional to the difference between its heigh...

Q: Let A = and B = , P = (9, 8, 7) d. find an equation for the plane which contains the point Pand is ...

A: We have to find an equation for the plane which contains the point P(9,8,7) and is parallel to A = &...