6) Find Fourier transform of: 8 1) e-n(v²+y) (x − y)e-lx-v\dy 88 f 2) nye dy -πy²

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter JNE.) x². lim x-0…

A: Please see the below picture for detailed solution.

Q: Consider the following planes. -3x + y + z = 3 15x - 5y + 3z = 9 (a) Find the angle between the two…

A:

Q: Show that the lines L₁ : x = 4-t, y = 2t, z = 5 + t and = L₂: x 1+ 3t, y = 3 - 6t, z = 5-3t are…

A:

Q: Use the method of cylindrical shells to find the volume of the solid formed by rotating the region…

A:

Q: Find the directional derivative of f at the point P in the direction of a. f(x, y) = 7x³ - 9y³;…

A:

Q: Find the equation of the line normal to the graph of f(x) = -2x³ + 3x - 3 at x = -1. Please give…

A:

Q: The radius of a cylinder is decreasing at a constant rate of 8 meters per minute. The volume remains…

A:

Q: The area of a square is decreasing at a rate of 174 square meters per second. At the time when the…

A:

Q: Find f'(x) using the QUOTIENT RULE if f(x) = 6-x² 3+x² f'(x) =. Find f'(4). f'(4) =

A: I am attaching image so that you understand each and every step.

Q: Find the derivative of f(x) = √/In(x³ - 4x-¹). Provide your answer below: f'(x) = 3x¹ +4 20₁√/ Im(…

A:

Q: valuate the limit 5x² + 3x lim ZX √7r4+2r² +10

A: Given query is to find limit of the expression.

Q: Suppose f(x, t) = e-t sin(x + 5t). (a) At any point (x, t), the differential is df = = (b) At the…

A:

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A:

Q: Sketch the region enclosed by the curves y = 2x and y = 4x². List the points of intersection of…

A: To sketch the region enclosed by the curves y=2x and y=4x2.To list the points of intersection of…

Q: -10 -8 -6 4 -2 10- F 8 9 4- 2. 4- -6- -10. 8- A 9 Point in the solution set: D 8 10 010 8 X 08 0/0 S…

A: The answer is in step 2.

Q: Determine if the function given below is an explicit or implicit funct y5 +9y³x²-3x = 0 O explicitly…

A: Topic:- function    Defination:-  A function in which the dependent variable, and independent…

Q: 4. You need make an open rectangular box (i.e. no top) with square base that can hold 13500 cm³ of…

A:

Q: (1 + cos-1 (5x))³ = O A. O B. O C. O D. O E. -15(1+cos-¹ (5x))2 √(1-25x²) -15(1+cos-¹ (5x))2 1+5x2)…

A:

Q: 9. Evaluate the definite integral, L'xa x(1-x)¹82dx

A:

Q: The monthly demand function for a product sold by a monopoly is p = 2,100 -² dollars, and the…

A: Concept: The revenue function is given by  R(x)=x×demand function The cost function is given by…

Q: . Find a particular solution Y(t) of y"" — 2y" − y′ + 2y = e²t

A:

Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by 7xy³ +…

A:

Q: Find and classify the critical points of f(x, y) = Local maximums: Local minimums: Saddle points: −…

A:

Q: Determine which one of the following rules for continuity is violated at = 2.

A:

Q: 2. Solve by the substitution method. If there is no solution or infinitely many solutions make sure…

A: Given the system of linear equations x - y = -3 2x + 9y = -17 By using substitution method we need…

Q: Suppose H(x)=√6x-7. Find two functions f and g such that (fog)(x)= H (x). Neither function can be…

A:

Q: F(x, y) = (f(x,y), g(x, y), h(x, y)) = (2x²y — x¹, eªy — y sin(x), x² cos(x))

A:

Q: Suppose that f(x)=x². (a) What is the average rate of change of f(x) over each of the following…

A:

Q: The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level…

A:

Q: A fruit market sells mangoes and apricots in the ratio 3:2 If their sales of mangoes and apricots…

A:

Q: To evaluate 26 sin(x) da we can apply integration by parts x6 times. We set u = on the first…

A:

Q: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t…

A:

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A:

Q: Are the lines x = 10+3t, y = 9-2t, z = 3-11t, and x = : 4-4t, y = 5—t, z = 9+5t parallel? Yes No

A:

Q: Solve for x: log(x)+log(x+2)=8

A: Here we have solve for x

Q: dy The Integrating Factor of the differential equation + y tan x = sec x is. dx (A) (B) sec² x D cos…

A:

Q: your answer below: =0 X p(x) p'(x) (x) = (x² 2 -1 2 - p(x)). -2 -4 5 0 5 0

A: Topic:- application of derivatives

Q: Find Duf at P. f(x, y) = sin(5x - 5y); P(5,5); NOTE: Enter the exact answer. Duf : P(5,5); u= = 35…

A:

Q: A particle moves according to a law of motion s= f(t), t≥ 0, where t is measured in seconds and s in…

A:

Q: The radius of a cylinder is decreasing at a constant rate of 9 meters per second, and the volume is…

A:

Q: Question 13 From the previous equation, vdx - (2v - 1) x dv = 2v²e²v dv, what is the Integrating…

A:

Q: = 5x² + 3x + xy = 5 and y(5): = 27, find y' (5) by implicit differentiation.

A: Given query is to find the derivative at indicated point.

Q: The circumference of a sphere was measured to be 89 cm with a possible error of 0.5 cm. Use linear…

A:

Q: Let sin 3x сos 13лу = sin 3x + cos 13Ty = T(x) of the tangent line at (0, 2), then evaluate T(13).…

A:

Q: The curve y = ax + bx+c passes through the point (1,5) and is tangent to the line y = 2x at the…

A: Given query is to find the value of a , b and c.

Q: Find the instantaneous slope of y=at z = 2.

A:

Q: Find sin(), cos(4), and tan 2 cos(x) 180° < x < 270° sin (4) - COS cos (4) = tan (*) = = 24 25' from…

A: given cosx=-2425by half angle formula sinx2=±1-cos(x)2given that 180&lt;x&lt;270so 90&lt;x2&lt;135…

Q: nd the equation of the tangent line to the curve y = (cotx) at x = 1.

A:

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t…

A:

Q: y = 9 cos 1 x TL at x = 0

A: