Question 3 „Insec2 (sin2y), Which of the following is one of the correct steps to evaluate the sec2y : / sec

Q: linear approximation of log 99

A: Explained below

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. ④ 금Sn(3e)- sin(11e")+C sin(11e*) + C 22 A © -cos(ae)- cos(11e) +c…

A: The given integral,   ∫excos7excos4exdx

Q: Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

A: We have to construct  the integral to find the region bounded by given curves.

Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

Q: Evaluate the line integral, where C is the given curve.   z2 dx + x2 dy + y2 dz,   C C is the line…

A:

Q: 39) (a) Let Ax) = cos(3x – 2). Find f" (x). (153) (b) Let g(x) = 2***. Find g (x).

A:

Q: Solve the following equation for x (find all solutions between 0° and 360° Round answer to 2…

A:

Q: Suppose z = x? sin y, x = –2s² + 2tť², y = 2st. A. Use the chain rule to find and dz as functions of…

A:

Q: Determine if the following series is convergent or divergent: V2n3 + 3n 4n +3 O Convergent O…

A: To find out that the series is convergent or Divergent.

Q: To begin evaluating sintx cosx dx , express 1- cos2x A sin x to (sin?x)² and use the identity sin?x…

A:

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards Let A = [ the card is a black…

A:

Q: Question 18 (x+1)dx If JT+2)(x-1)² B 1 2 |dx ,the values of A & C respectively are (x-1)2 9 3 x+2…

A: We need to find value of A and C.

Q: ;Find the average value TX of the function f (x) = 4sin Cos on 2 2 the interval [1,4].

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: Determine if the following series is convergent or divergent 2n +2\ n 7n +3 n=

A: Root test:We have the series ∑an,DefineL=limn→∞an1n Then,1. If L<1 the series is absolutely…

Q: If the terminal arm of an angle, x, in standard position passes through the point (-a, -2a) where a…

A:

Q: Find and classify the critical points of f(r, y) =r³ - 6ry + y³. %3D

A:

Q: By algebraic substitution, the integral - dx dx is converted to: 4+x 2ydy (A y+4

A: Option a is the correction and other option does not satisfy the given conditions

Q: Evaluate: Jycos2ydy 1 A y'sin2y+ycos2y-sin2y+C B y²sin2y- ycos2y+ -sin2y+ C 4 1 1 글가 sin2y+글ycos2y+…

A:

Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A: Solved below

Q: sin In sin )dx - cos(sin-!x) + C V1-x? A) True B) False

A:

Q: Solve for the general and particular solution using Laplace Transform y" + y = v2 (cosvEt) %3D y(0)…

A:

Q: 1. Find the angle between the following two vectors. and

A:

Q: 4tan e sec ede tan0-2 tan 0 –15

A:

Q: sin?u tan"u du where n is any integer, we use the transformation for tan?u= cos?u In A) True В False

A: Here we have to state whether the given statement is true or false.

Q: Question 12 is 2V5 – Sin|Vã + s| + C. Vits dx The antiderivativeof |- 5ln x +5 A) True B False

A:

Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

A:

Q: ,Insec 2 (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y (A In…

A: topic - integration

Q: 12

A:

Q: I. Write 2 – 7i in polar coordinates on the complex plane. - II. Find (1+ i)° using DeMoivre's…

A:

Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

A: We have to find the integrals.

Q: x² +1, if x-1 odd f(x)= ,2_1. if x+1 even Find the value of f(1)+ f(2)+f(3). O a. None O b. 12 О с.…

A:

Q: Evaluate: ycos2ydy 1 1 A sin2y+ycos2y+sin2y+ C 1 1 B sin2y- ycos2y+ sin2y+ C 1 O'sin2y+ycos2y-sin2y+…

A:

Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

A:

Q: Question 18 -미ch2e-coth2e|+C csch2zdz = A) True B) False

A: A detailed solution is given below

Q: dx The only solution to evaluate is using algebraic substitution technique . 3+Vx

A: Follow the procedure given below.

Q: Problem 10.2.3. We can modify the proof of the case f(a) v > f(b). However, there is a sneakier way…

A: Proof

Q: Evaluate the line integral, where C is the given curve.       Cxy ds,    C: x = t2,    y = 2t,    0…

A: Given:        C xy ds ,      x = t2      y = 2t       0 ≤ t ≤ 1

Q: Find the absolute maximum and minimum of the function f(x,y) = 7y + 64x - 3 over the closed region…

A:

Q: x2 dx Using trigonometric substitution, the integral is equivalent to V-4

A: Given∫24x2dxx2-4Substitute x = 2sinθDifferentiate x w.r.t θdx=2cosθdθNowIf x = 2…

Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

A: Slope of tangent

Q: Problem 3. The softplus function is given by A2) = log(1 + e) A) Plot ſ(2) as a function of z. If…

A: (1) solution

Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: 1+ cos4x A sin4x & 2 2 B cos²2x= 1-…

A:

Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

A:

Q: x[cosh?(2x2) – sinh²(2x²) ]dx is equal to A) x?dx B None xdx D dx (E) 4 xdx

A:

Q: Question 17 Which of the following is NOT an improper integral? x-dx A -2 Vx2-1 x/2 sec x dx 01 x13…

A:

Q: 2x+3, x<1 f(x) dr if f (x) = 5, Evaluate -3 A 21 B 19 28 16

A: fx=2x+3,x&lt;15,x≥1

Q: Evaluate: Jycos2ydy 글sin2y-글vcos2y + 승sin2y+C A B 글sin2y+ 글ycos2y+sn2y+C © ranzy-ycoszy-anay + C D 글…

A:

Q: Find the vector PQ × PR if P = (2, 1,0), О %3D (1,5, 2), R = (-1, 13,6) (Give your answer using…

A:

Q: Consider the series 3 4n n=1 Determine whether the series converges, and if it converges, determine…

A: The given series,           ∑n=1∞34n

Q: orrect choice below and, if necessary, fill in the answer box(es) to complete your choice. The…

A: