3. Find the Laplace transformation of the function: f(t) = cos (2wt) cos (3wt). Hint: write cos(20t) in terms of el2wt and e2w using 'backward' Euler identity, do the same for cos(3oot).

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…

Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤y≤16, 0≤z≤ with √√y density…

A: To setup and evaluate the triple integral for mass of the box.

Q: s) Use the properties of logarithms to find dx y = In 4] sin' (3x) 5* √√x² +1

A: We can solve the derivative of 'y' as below.

Q: Q4: Answer two only: 4 2 2 1 -2 -1 1 Find AB and AC. (A): If A = 0; 2 3 1 B= 2 -2 -2 and -1 2 1 3 C…

A:

Q: (B): If A = 2i +3j - 4k; B = 3i-4j+5k and C=i+j-k, find: (ii) B.C (iii)A. (B+C)and (A + B).C (iv)…

A: Given: A→=2i+3j−4k;B→=3i−4j+5k and C→=i+j−k We know that x1i +y1j+z1k·x2i +y2j+z2k = x1x2+y1y2+z1z2

Q: al speed seball, hit 3 feet above the ground, leaves the bat at an angle of 45° and is caught by an…

A:

Q: 15,0-20³²4 2. 3. चं 5. T cos 2x dx sin(³) cos²( :-) / dx 2x - 1 4x dx dx 6. 7. [² (x² + 0²³) dx (x -…

A:

Q: fe e sin xdx

A:

Q: 6 ∞ 9 cos (7) x² dx I

A:

Q: 2. Find the volume of the solid generated when the region between y = sin x and y = 0 for 0 ≤ x ≤ π…

A: The region between y=sin x and y=0 for 0≤x≤π is revolved about the y-axis.

Q: 9. -1 2x xe dx

A: We have to find out solution of integral

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

A:

Q: Calculate the distance between the point Q(3, 1, 7) and the plane 2x - 6y – z = 3. Don't use a…

A: We need to calculate the distance between the point Q3,1,7 and the plane 2x-6y-z=3 without using the…

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: Ỉ Ỉ y=0 x=0 (r’–6xy® +5y*) dxdy =

A: Given, ∫02∫03x2-6xy3+5y4dxdy

Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: Calculation of determinant is the key requirement of this problem.

Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

A:

Q: 12. x² sin(x + y) = 1, -

A:

Q: -2 S² g(x) dx -6 if g(x) is an even function.

A: We need to evaluate integral.

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

A:

Q: dw (C): If w = tan x and x = 4t³ + t; Find dt

A:

Q: dy Q5: Find for the following functions: (3) y = ex.sin² x In√x

A: We can solve this as follows:

Q: Let Vis the volume of the solid of revolution expressed by the equation V = 4n fx²e²dx. Find the…

A:

Q: 인 여 प्रि sin K K K

A:

Q: Consider two matrices H-29-1-9 and = I = (a) Find a 2 × 2 matrix G satisfying HG = I if possible. If…

A: See this solution in below

Q: S 4sin x cos xdx I

A: topic- indefinite integral 2sinθcos(θ)=sin(2θ)sin2(θ)=1-cos(2θ)2

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z=1 2x-y-z = 0 = 4 x +2y-z

A:

Q: sin 8 cose √cos²0-9 c. f S do

A: Since, we have been asked to solve Part-C in which we have to evaluate the integral given…

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A:

Q: Use the disk method to find the volume of the solid of revolution generated by rotating the region…

A:

Q: Test the series for convergence or using 2 2 2 2 3 - 33 + ²/ 3/ + 371 - 5 divergenc

A:

Q: 03/ A. For the following function f(x). Find: ji. iii. m=? 1-4X m -UX.=-u P(1,-1) f(x)=x-2x² The…

A: See this solution in below

Q: A = - 1)³² dx - (x - 1)³dx + 5²0x

A:

Q: (B): Find the tangent equation to the curve y = sin² x at point x = = 33.

A: The curve y=sin2x at point x=π3

Q: X y = x + Ae^ + Be - 2x

A:

Q: f(a+h)-f(a) h a. Use the definition mtan = lim h→0 b. Determine an equation of the tangent line at…

A:

Q: Describe the level curves of the function. z=x+y, c= -2, 0, 2, 3 O The level curves are parabolas.…

A: We need to choose correct option.

Q: The interest on an account increases exponentially. If an initial investment of $5000 earns $900 in…

A: Given: Initial amount =$5000 Increase amount =$900 Time =2 years To find: Rate of increase at the…

Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

A:

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A:

Q: Find the first partial derivatives of the following function. f(x,y)=x²-3xy-6y²

A:

Q: 10. √x(x² + 3x-8)dx A. -4 B. -404 105 D. -28 105

A:

Q: 1. 3 0 S 0-2 (x²y - 2xy)dydx

A:

Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. b) Find the…

A:

Q: Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. A $124,000 trust is to…

A:

Q: In Problems 17-26, solve the initial value problem. dy y(0) = √3 dx y' = x³ (1-y), 1 dy 2 dx dy…

A:

Q: 6. (2y²x−y) dx + x dy = 0

A: 6. 2y2x-ydx+xdy=0 Note:     Multiple questions are given, we are answer with only one question. If…

Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) =…

A:

Q: 16. (yety-1/y) dx + (xey + x/y²) dy = 0

A:

Q: If f(x) = 1/√x, use the definition of the derivative to find f'.   You must show ALL of your work…

A: The given problem is solved below in detail.