√9-2³ x² + y² dy dr into a double integral in polar form. TITE f(x, y, z)dV, where f(x, y, z) = x²yz and S is the solid bounded by the elliptic paraboloid z=4-2²-2y² and the xy-plane. Use 1. Sketch the region of integration first, then transform Finally, evaluate the resulting double integr 2. SETUP ONLY the triple integrals for the following orders of integration: a) dV = dz dy dx b) dV dr dz dy c) dV=dy dz dz

Q: If f(0) = -6, f'(0): = 3 S³ = x. f''(x) dx = = - 20, f(3) = 297 11 and f'(3) X 18 then: -49

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

A:

Q: 7. Determine whether the series converge and if so find its sum. (a) (b) IM8 Σ k=1 2k+1

A:

Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sol: 2L = 2 T qu L = π -41 -2π 4T 27T 21…

A:

Q: Points: A(2,1,-1), B(-3,0,1), and C(1,4,0) a.) find parametric equations of line that passes…

A:

Q: Given the function F(x) = 2x 3 - 6, find the value F(-1). 10 -8 -4

A: Solution is done in step 2

Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 5 [ 8x 8x √√x + c dx

A:

Q: udv = uv J to Explain why the substitutions below are inappropriate. Let u = e 1. Suppose we apply…

A: Here, to evaluate: ∫xexdx using integration by parts.

Q: 45. I= (A) 2 (C) 3 +c, then f '(1) is equal to - 14 2 2-x ปี = √/²=Xx dx = ²√ √/²² (x) + c (B) 1…

A:

Q: uestion you were to use a substitution of u = cos(x) to evaluate the definite integral below, what…

A: We have to find the integral

Q: 1-x² 1-x 10 f(x, y, z) dy dz dx

A:

Q: 3- show that the diff. equ. is homogeneous and Salve it (2x +34) dx +(y-x)dy = a

A: In this question we have to solve the differential equation.

Q: Given: c= 8, a = 5, C = 67°

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: We use the formula: For n = 1, 2, 3, . . .

Q: For vectors and shown, drawu - 2 13 19 V

A:

Q: 14 Find the slope of the function ƒ(x) = -x - 1, by the definition of a limit. Slope =

A:

Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A: This question can be solved using the concept of equation of tangent to a curve at a given point.

Q: es { [ (x² + 5) } 1_7²_

A:

Q: soon as posible

A: We will use substitution.

Q: 1. Find the solution of the following differential equation.

A: We have to find the solution of the given differential equation.

Q: Question The following table gives the approximate increase in dollars in the average price of a…

A:

Q: Q4: Let y = √r and t = x² then y(") = 0 if n=

A:

Q: Chapter Four d'y df² and y'(0) = 3. 2. 9. dy 24 +16y=0, dt given y(0) = 3 y =(3-1) e3

A: We have to find the solution of given differential equation.

Q: L 2 S 5 + 64

A: Laplace Inverse Transform of  function 5s2+64

Q: need

A:

Q: 10z Sketch the region enclosed by y = 5, y = el, and a = 1. Find the area of the region.

A:

Q: I. Bernoulli's Equation 1. 2ydx + x(x² In y-1)dy = 0

A:

Q: 2) 2 s² (s²+4) Find L1 transformation. by using the properties of inverse Laplace

A: Given; L-12s2s2+4   As we know from the property of the inverse Laplace transformation.…

Q: 57. If f(x) = (A) (0,00) fen²x + (n (ex) (n² (ex) dx; f(1) = 0 and g(x) = 1 -f(x). Then the domain…

A:

Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat F(x) = Sinx 29=0

A:

Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

Q: find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (4t − 1)3 ℒ{f(t)} =

A:

Q: 41.) If f (x) = )=√(₁ (A) 3-e/4 4 tan(Cnx) +- (B) dx & f(1) = 0, then f (e/4) is - 3-e/4 4 (C)…

A: We need to choose correct option.

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: Topic:- calculus

Q: 4 + 5x² 4x + x³ dx

A:

Q: Solve for the non-homogenous linear differential equation: y''+4y=cos^2(x)

A: Given; y''+4y=cos^2(x)

Q: Given the ordered pair P(-7, 24), determine the requested sine, cosine, or tangent of angle 0. cos 0…

A: On solving this we will get

Q: Find the vector equation of the line between the points (3, -1, 2) & (1, 4, -1), then graph the…

A:

Q: 15. Find the inverse of matrix A. A = 38 26

A:

Q: 2. [e²y - 2y ycos (xy)] dx + [2ce²y - xcos (xy) + 2y] dy = 0

A: We have to find the solution of given differential equation.

Q: 300. NR4) For a graduation ceremony, there are 8 people sitting on stage in one row. If the master…

A: We want to find number of arrangement possible.

Q: Evaluate the indefinite integrals by using the given substitutions to reduce the integrals to…

A: SOLUTION-

Q: = 3. Let R be the region bounded by y = √x and y 2. Find the volume of the solid generated when R is…

A: Washer Method : Suppose that the f(x) and g(x) are continuous and non-negative function on a,b and…

Q: 15. Find the inverse of matrix A. A = 38 26

A:

Q: Q4: Let y = √t and t= x² then y(") = 0 if n= a) 2 b) 3 c) 4 d)5 e) others

A:

Q: Question If you were to use a substitution of u = sin(x) to evaluate the definite integral below,…

A:

Q: Identify the focus and directrix of the parabola: y = -4(x - 2)² - 3. f: (1, -4), d: y = 2 f: (2,…

A: If the equation of parabola is of the form x-h2=4py-k(i)  if p&gt;0  then focus is h,k+p  and…

Q: Find the function who’s derivative is dy/dx = tan(x)sec(x) - 9x^2

A: Given: dydx=tanxsecx-9x2   As we know that; The Power Rule: ∫xndx=xn+1n+1+C And the common integral.…

Q: You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara…

A: