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

Q: - Let R and S in the figure above be defined as follows: R is the region in the first and second…

A: Given y=3-x2 y=2x

Q: e4x dx ? (4e2x + 9)/2 Which of the following trigonometric substitutions is the most appropriate to…

A: integration if it is helpful please like it

Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: f(x)=13exIntegrate on both sides:∫f(x) dx=∫13ex dxF(x)=13ex+C

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

A: Given problem :-

Q: Σ (-1)"+1 n³+1 n=0

A:

Q: 3. .

A:

Q: 2. lim f(x) = x2– 4x +4 X Use the domain [-9,6] to draw the graph. х -2

A:

Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: We have to find the antiderivative of the given function.

Q: In sine sin -1x os (sin-!x) + C cos V1-x? 1-x² A) True В False

A: To check:  ∫sin(elnsin-1x)dx1-x2=-cos(sin-1x)+C is true or false.

Q: V -4 dt 3t

A:

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

A:

Q: Question 8 Evaluate: Jcos 2xdx cos³2x + cos2x A + C 2 cos³2x + C 6. cos2x B sin2x sin32x + C 6.…

A: topic - integration

Q: sec ede 2. tan' 0+9 tan e

A:

Q: In a triangle, assume angle A is opposite side a, angle B is opposite side b, and angle C is…

A:

Q: 0, and a root of multiplicity 1 at z =-5 The polynomial of degree 5, P(r) has leading coefficient 1,…

A: topic - polynomial

Q: Use the Laplace transform to solve the given integral equation f(t) + (t – r)f(t)dt = t f(t) =

A: Note that, the convolution theorem says: If g(t)*f(t)=∫0tg(t-τ)f(τ)dτ then…

Q: Sa 4 tan e sec? Ode tan0-2tan 0–15

A:

Q: Find the acute angle in radians between the planes 1x+z=1 and 1y+z=1. You may leave your answer in…

A:

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: dx The only solution to evaluate is using algebraic substitution technique. 3+V. (A True B) False

A: To find whether given integral can be solved only by algebraic substituion technique

Q: sing reciprocal substitution *= the integral - dx reduces t I dz -1) 13 -dz (z?– 1) 1/3 zp- D dz

A:

Q: Of all rectangles with a perimeter of 33, which one has the maximum area? (Give the dimensions.) The…

A: perimeter of rectangle = 2(l+b) = 33 l+b = 33/2 l = 33/2 - b area of rectangle = l*b (33/2 -b)(b)…

Q: Use the cross product to find the area of the triangle with the vertices P = (1, 1,5), Q = (3,4, 3),…

A: Here we have to find the area of triangle.

Q: Question 10 Soviax. Evaluate: 2ev(/x+1) + C A 2 =2ev(/x- 1) + C © =2ev(/x+1) +c %3D 2ev(/x- 1) + C 2

A:

Q: Insec2 (sin2y) dy e Which of the following is one of the correct steps to evaluate the sec2y

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: If $21.000 is invested in a savings account offering 4.5% per vear, compounded semiannually, how…

A:

Q: Evaluate: cos32xdx cos³2x - +C 6. cos2x (A) cos32x +C cos2x B sin2x sin32x +C 6. = 2 sin32x + C 6.…

A: Given query is to find the integral.

Q: Given cos A 11 61 and that angle A is in Quadrant I, find the exact value of tan A in simplest…

A: topic- trigonometric ratios

Q: - A ladder of length 17 feet is leaning against a wall. The base of the ladder is moving away from…

A: Given query is to find the rate of change of angle.

Q: Find the vector PQ × PR if Р%3 (2, 1,0), Q = (-3,21, 10), R = (5, -2,9) (Give your answer using…

A:

Q: x²-4 dx can only be evaluated using trigonometric substitution technique . The True B False

A:

Q: Vy²– 25 The result of the integral in 0 given dy is 5 tane – 50 +C, y

A:

Q: 5 sin e cos ede 2. sin' 0+3 sin 6 -4

A: ∫5sinθcosθsin2θ+3sinθ-4dθ=5·∫sinθcosθsin2θ+3sinθ-4dθLet u=sin θ.=5·∫uu2+3u-4duBy partial…

Q: Which of the following will yield an inverse trigonometric function e2* dx A 4+e2r ydy B -16 wdw 25-…

A:

Q: Given: tan z = - and z is in Quadrant IV. Find the exact values of sin (), cos (). and tan (5)…

A:

Q: 12 + 11uzy + 2uyy = 0

A: answer is in next step

Q: To evaluate | sin42x cos 2xdx conveniently, the formula/identity to be used islare A sin²2x=1–…

A:

Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

A: Topic = Trigonometry

Q: If h (x) = cosxdx and h =4, then h (0) is equal to

A: answer is in step 2

Q: By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C)…

A:

Q: A forest fire is found at midnight. It covers 1000 acres then. It is spreading at a rate of f(t)=3…

A:

Q: Find all the antiderivatives for the following function. Check your work by taking the derivative.…

A: Consider the function  f(y)=-24y25

Q: Determine if the following series is absolutely convergent, conditionally convergent, or divergent…

A:

Q: Find an equation of the inverse relation. x=y² - - 7y Choose the correct equation below. O B. y=x -7…

A:

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

A:

Q: #12- Fnd the indefinite integral of the follaung funchon and check the result by differentionion.

A:

Q: dx The antiderivativeof |- x +5 is 2- Sin|Vx +s| +C. A) True B False

A:

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x +x - 4, k= - 1

A: