Choose 1 answer: A 13 klo ㅠ 4t2 + 16 sec4 (t) dt

Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

A: Given

Q: 5x -3 2 Evaluate: f fx fdz dy dx 3x 2

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: What is the equation of the tangent line to the curve y = at point (0, 0)? O none of the choices O y…

A: Given :      y = 3√x    Point : (0 ,0)

Q: 3 f²f²² ²³ y cos(z³) dx dy dz 0

A: The given integral:∫01∫0z2∫03ycosz5dx dy dz

Q: (2) Z/(5) =........ (i) (5) (ii) 5Z (iii) {[0],[1],[2],[3],[4]}

A: We have to find out integer

Q: A and b

A: We need to solve maxima/minima problem.

Q: 1. Let R be the region in the first quadrant enclosed between the circles x² + y² = 9 and x² + y² =…

A: x= rxos(theta) y= rsin(theta)

Q: Question 1 Express the Laplace Transform of the following functions: (a) f(t) = 2e5t sinh(7t) — t8…

A:

Q: Given f(x)=x²-1 on [-2,2]. a. Find the critical numbers of f on the given interval. b. Determine the…

A: A critical number of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: Evaluate the integral: t² ls teu du ds dt

A: Let's evaluate given triple integral.  There is no need to draw the graph.

Q: 5. Use Cartesian coordinates to evaluate Jff ² av JIJ where D is the tetrahedron in the first octant…

A:

Q: Evaluate the integral: f/2² sin (-) dt du ,2

A:

Q: -3 ³₁₂₁(4x²y - z³) dz dy dx

A:

Q: 3. Determine if the assigned improper integral is convergent or divergent. Lever e²+1 dr

A: Given problem:-

Q: 2. Evaluate all of the integrals. b. ». 2x - 21 da

A:

Q: Find the area of the region bounded by the curves 1 y = (x+8)²¹ Y = 4 and the x-axis using vertical…

A:

Q: Evaluate: £²₁² [(x²-²²] du dt 2 y²)²₁ x+y

A: Given, ∫-13∫02(x2-y2)2(x+y)dudt

Q: Find the area of the region bounded by the curves 1 y=; y = = 4 and the x-axis using vertical strip.…

A: Let's find area of the region bounded by curves and given line y=4.

Q: 1. Solve the following Linear Systems of Equations by Gaussian Elimination: 2.) 3x + 3z = 0 2x +2y =…

A: On solving this we will get

Q: The Substitution Method states that A. If F'(x) = f(x), then [ ƒ (u(x))u²(x) dx = F(u(x)) + C B. If…

A:

Q: Evaluate the following * 5 Sa 4x - 1 In(4x - 1) 4 O II -dx + C 5ln(4x - 1) 4 + C 5ln(4x − 1) + C 4…

A:

Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A:

Q: Which of the following functions will be continuous on (0, 3)? O A. g(x) = 7√2² - 16 OB. 6 f(x)…

A:

Q: The value of A. sin-¹ x +√1+ x² + C B. sin ¹x-√√1 + x² + C C. sin-¹ x + √1- x² + C D. sin¹x-√1- x² +…

A:

Q: 3 -2 Evaluate: ₂₁ [2³(x + y)³] dz dy dx

A:

Q: 2. I. Evaluate each determinant. -4 3 -3 2

A:

Q: What is the equation of the tangent line to the curve y = at point (0,0)? O none of the choices O y…

A: Tangent line

Q: 3 So So t : t² etu du dt

A:

Q: Evaluate the following * 6cos (2x) dx O3sin(2x)+C O 2sin(2x)+C O sin(2x)+C O-3sin(2x)+C

A:

Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A: This is a problem related to function and number system of the function. Based on the general…

Q: Consider a continuous function f(x) = 2e-1-2x, which is true about the relative extrema of f? f has…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 2. Evaluate all of the integrals. a. [² sec²rtan r (1+sec x)² dz

A:

Q: mydx = nxdy

A: answer is in next step . please give a like !!!

Q: Find the general solutions for these differential equations: a. xy’ (2y - 1) = y (x - 1) b. (xy –…

A: We have to solve given D. E.

Q: 2. Evaluate all of the integrals. b. 2|x - 21 dr

A:

Q: Let R be the region enclosed by the polar curve r (0) = 3 ln (0) where 7π <O< 8 Y X 72 ㅠ R 1 1

A: Given Curve rθ=3ln(θ)whereπ2≤θ≤7π8

Q: Evaluate each determinant.

A: A = -1523

Q: Evaluate: ff xy² dx dy

A:

Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to s = 112t -…

A:

Q: 2. Evaluate all of the integrals. [ 2² sin sin a dr

A:

Q: v²dx + x(x + v) dv=0 O xv² = c(x+2v) Ox²v² = c(x + v) X V 2 Oxv² = c(2x + v) O xv² = c(x + v)

A:

Q: Evaluate √x/2 6sinx(cosx+1) do

A:

Q: -2 (x² - y²)²] Evaluate: S₁ S² P₁² dx dy x+y

A: Let's evaluate given double integral.

Q: In Evaluate the integral: Sto st² sin s teu du ds dt

A: The given integral is: I=∫12∫tt2∫0lnsteududsdt   The Power Rule: ∫ax+bndx=ax+bn+1an+1+C

Q: Determine the exact length of the polar curve r 3 sin for 0≤0 ≤T. =

A:

Q: +∞ (x²+4)3/2 dx

A: To find: Integration

Q: 2 (xy + x) dx = (x²y² + x² + y² + 1) dy Oln(x² + 1) = y² – 2y — 4ln|c(y + 1)| O In (x² + 1) = y² +…

A: We have to solve given differential equation.

Q: 11.Doe = 8. Find the slope of the secant line. f(x) x-8 3x+4 X1 = 2, X₂ = 0

A: Here we have to find the slope of a secant line.

Q: x 1 4. 1 / ₁²+52²+8² dx x² + 5x + 8

A:

Q: 2. Evaluate all of the integrals. 2²-x+4 (x + 1)(x²+2) da

A: