A- Answer the following 3s-1 s²+2s+5 L-1.

Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

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

A: Given

Q: 4 nd the area of the region bounded by 2x = y²+1 nd the y-axis using the horizontal strip.

A:

Q: The value of A. -√4+C 4x B. +C √4-2 C. D. 4√4-x² 4√4-x² S ₁4- +C +C dx (4- x²)1.5

A:

Q: Evaluate: 1+ 2y dy dx •x x2

A:

Q: Evaluate the following * Sete e7x-³dx O e^(7x-3)/3 + C O e^(7x-3) + C - e^(7x-3)/7 + C O e^(7x-3)/7…

A: We will use substitution method to solve the integral

Q: hi what is the simplified final answer of this?

A: Given problem:-

Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: 4. Evaluate the double integral: Y SZ (Hint: Change the order of integration to dy dx.) dx dy. +1…

A:

Q: Evaluate: ³₂²₁¹ [2³(x + y)³] dz dy dx

A:

Q: Differentiate the function. h(t) = √√t - 7et -6 (F) h'(t) = -7e² =-- (1) t

A: The given function is: ht=t7-7et   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power…

Q: Evaluate the integral by making the given substitution. (Remember to use absolute values where…

A:

Q: Evaluate the following Integral using integration by parts X CSC X S - dx CSCrCOU

A: Use by parts method of integration

Q: Evaluate the integral: 7/20¹² sin (1) dt du

A: Follow the procedure given below.

Q: π/3 So, f²ef/³ t In u tans ds du dt

A: Given problem:-

Q: 5x -2 3 Evaluate: fffdz dy dx 2 2

A:

Q: Consider the parametric curve: X y = ln(-t) Which integral gives the arc length of the curve over…

A: We have to find the length of curve.

Q: elaborate pls, i could not understand the flow of the solution

A: We have to elaborate the solution.

Q: -2 Evaluate the integral: ² ft² n s teu du ds dt

A:

Q: S- tanh e cosh(z) – sinh(z) -dz

A: Let's evaluate given integral.

Q: Q5 A) Calculate the gradient of f(x, y) = √√x² + y²

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: e2x 1. Evaluate the indefinite integral -1 dx. ex-1

A:

Q: Find the point on the line y = 8x closest to the point (1,0). (Use symbolic notation and fractions…

A:

Q: ¡xr-¹e-λx, x>0, r,λ > 0. Given f(x) Γ(r) 1. Find f(x)dx.

A:

Q: Evaluate: ₁₂₁(4x²y — z³) dz dy dx J1

A:

Q: 3 Evaluate: ³₁²₁ ¹²[z³(x + y)³] dz dy dx -4 1

A: Given

Q: 1. Evaluate the assigned limit using L'Hopital's Rule. lim [cos (2x)]¹/(*-*) 2--

A:

Q: Evaluate: ₁³₂₁(4x²y — z³) dz dy dx -2

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine y = Yc+yp using Non-homogenous equations: Method of Undetermined Coefficients Given: y" +…

A:

Q: 4. The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling…

A: As per bartleby guidelines we only give first three subpart question answers. Let's solve given  bat…

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: Given :f(x,y)=-x2-5y2+10x-30y-62

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

A:

Q: + ₁2²x + 2y dy dx

A: I have stated the used formula in the solution

Q: cos x(sec x + tan x)dx

A: Given ∫cosx(secx+tanx) dxTo evaluate the integral:

Q: 3 Evaluate: ³₂²₁₁²[z³(x + y)³] dz dy dx

A:

Q: Simplify. Write "undefined" for expressions that are undefined. -3 -6 6 1 4 -4

A: Given that a  matrix problem and we do simply these matrix by using general property of matrix.…

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

A:

Q: I. 2.) Simplify. Write "undefined" for expressions that are undefined. 5 3 2 I(1J + -6 -6 2 0 2

A:

Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given

Q: Find the volume of the solid generated by revolving 1 the region bounded by y = e¯x², the x-axis and…

A:

Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: Evaluate: xy² dx dy [√ 0

A: We have to find value of given definite double integration.

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A: Given: x=42y2+1

Q: -3 -t Evaluate the integral: Soft²eu du dt е

A:

Q: 2. Express the iterated integral as a double integral in polar coordinates. 1 X 1 Lo dy dx 16/2 x² +…

A:

Q: 1. Given vector 2 0-3 is 2. It is known that a à vector : ( 2 ) and 3 = (-1) is a vector in 1R³ with…

A:

Q: Evaluate: xy² dx dy S

A: Given: ∫04∫0yxy2dxdy

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A: Let's find area of region bounded by given curve and y axis.

Q: Use the table of integrals to evaluate the integral. 2 5x³√4x² - x4 dx

A:

Q: Find the solution of the given initial value problem. ty+3y=t²t+5, y(1) = 2, t> 0 11

A: