) What function f(t) has Laplace transform: s² +1 f(s) = 5(s² + s−12) 2

Q: a) 4x² +9y² + z² = 36 b) x² - y²z² = 1 c) x² +100y² - 36z² = 100 d) z = z= 2x² - 4y² e) x = z² - y²…

A: d)

Q: Assume that f is continuous on the set of real numbers. Find a and b given that b 3 [ f(x) dx - f₁…

A:

Q: which f(x) is negative. Determine the intervals on which f(x) is positive and on…

A:

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1x³/2, 0 ≤…

A:

Q: f(x)=2x-7 and g(x) = -18 Given (a) Find (fog)(x). (b) Find (gof)(x). (c) Is the operation of…

A: Given :fx=2x-7gx=1x

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.3) 5 4 3 2 1 + -6 -5…

A: We have to write an equation of given graph.

Q: A)If y = sin-¹ find Zxy . orn C

A: We have to find Zxy for the given function.

Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: What are all the values of k for which f* x² dx = 0? 3 -3 and 3 0

A:

Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x)…

A: To find the following values.

Q: finding Ⓡ a se lim, soo Jn. = JA n

A: given

Q: Evaluate: S (5 — 2 sec 0 tan 0) de - O 0.79 0.68 O 0.95 0.84

A: ∫π6π4(5-2secθtanθ)dθ

Q: The vectors A = 3i+j+4k,B=2i-3j-k, find vector normal to A and In plane of A and, B.

A: To find the Normal vector to A & B.

Q: (2) Find an expression for the area under the graph of f as a limit. Do NOT evaluate the limit. g(x)…

A: given :   g(x)=x+lnx

Q: A region bounded by f(x) = 5 — x, y = 0, and x = 1 is shown below. Find the volume of the solid…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 6,    (3, 1)

A:

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: solve

Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: Given

Q: Use the chain rule to find dz/t. z = x² + y² + xy, x = sint, y = et

A: Here we will find dz/dt,

Q: Find fx and fy, and evaluate each at the given point. f(x, y) = arctan(y/x) ;  (8, −8)

A:

Q: Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and…

A: Here, given that the function f(x) has a positive derivative over -∞,-1 & (-1,7) and a negative…

Q: Find the point on the curve y = (x − 8)² +9 at which the curvature K is a maximum.

A:

Q: ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated…

A: You have asked question (2) According to question,Given Matrix,A = 3006-306-63Eigen Values = 3, -3

Q: A region bounded by f(x) = 3 − x, y = 0, and x = 0 is shown below. Find the volume of the solid…

A:

Q: S = u(x+*)

A:

Q: S 2³x dx = 0 23x+1 3x+1 23x In 2 O O O + C + C 23x + C In 8 2³x In 2 + C

A:

Q: Evaluate x/12 0 14√/1- cos 12x dx.

A: Given, ∫0π4141-cos12xdx

Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

A:

Q: Question The graph of f(x) = -2x³+x-3 is shown below. Use the tools to graph the line tangent to…

A:

Q: QUESTION 5 Given function f(x,y)= A. 2 B. 3 C. D. 0 ANSWER: 6 2 63xy of Evaluate at point (0, 1). ox

A:

Q: Find the general solution of the following differential equation. 4y" +36y' +81y = 0 NOTE: Use c₁…

A:

Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = Triple integration. 1 using

A: Given

Q: Evaluate: [x(1-2²) da ¾ O ³(1-x²) + C 3 0-² (1-x²) O 3 + C O 2/(1-x²) + C 3 O ㅇ글 (1-22) : + C (1-x²)…

A: Here we have to find the integral.

Q: von ² moren notional a from x = 1 to x = 2 8 y = ln x -

A: Given :y=lnx-x28

Q: Describe type I and type II errors for a hypothesis test of the indicated claim. A culinary school…

A: Here we have to find type l and type ll error.

Q: 4: Find the indefinite integral of f(u) = -1-3√ =

A:

Q: Find the general solution of the following differential equation. y" - 11y' + 18y = 0 NOTE: Use c₁…

A:

Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…

A: To find the derivative of the given function.

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

A:

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y³z² - 4 At point (1,-1,2).

A: Given function f(x,y,z)=x2y2z2-4

Q: B)Is w = Zez analytical function or not?

A:

Q: For the function f(x) = 2x2 - 5x a) Find f'(x) from FIRST PRINCIPLES b) Use your result from a) to…

A:

Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

Q: SSF-n de of F-xy 1-2 k outward (normal away from the z-axis) through the cone z-6√ Use a…

A:

Q: Find all critical numbers for the function. State whether it leads to a local maximum, a local…

A:

Q: Question 10 Given z = (e-22) (sin y), find 92 O-2e-2 O-2 e 2 (sin y) + e-2 (cos y) O-2e-2 (sin y) -2…

A: We have to find derivative of given term.

Q: Complete the table for the equation y=x-2, and graph the equation. X -2 - 1 0 1 2 Use the graphing…

A: line

Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve