Find the exponential function that passes through the points (-2,6) and (3,1).

Q: The line normal to the graph of f at the point (1,2) passes through the point (-1,1).  Which of the…

A: Topic = Functions

Q: A sled is pulled along a level path through snow by a rope. A 30-lb force acting at an angle of 40°…

A: Work done by a force F unit acting at an angle x°, creating displacement of y unit is given by,…

Q: Fxx is correct but Fxy is not 0.

A: The given function is f(x,y)=x4-5xy3+6y5 We have to find the fxx(x,y) and fxy(x,y)

Q: The volume of a cube with sides of length s is given by V = s³. Find the rate of change of the…

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Q: Question 2 Let f(x, y) = 5e¹* sin(3y) af д х af dy =

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Q: Write Equations of a Plane in Space Find the equation of a plane through the points (1, 2, — 7), ( –…

A: The objective of the question is determine the equation of the plane.

Q: Find the derivative of f(x) = 5√√x - - 7 28 Type your answer without fractional or negative…

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Q: Question 21 Determine the derivative of the following curve: x² + y² = 5 Oy = -√2 Ov=√ Od = -√√…

A: Explanation of the answer is as follows

Q: True or false: the limit as x approaches infinity of (x^2-x) =0

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Q: Find the slope of the tangent line (10-x)y² = x³ at the given point (5, 5). Round your answer to two…

A: Derivate the given equation with respect to x

Q: Find the general solution to the given equation 2y" + y − 3y = 0

A: The objective of the question is evaluate the given differential equations.

Q: y = 7 cos(x), y = 7 − 7 cos(x), 0 ≤ x ≤ π

A: Given y=7cosx, y=7-7cosx, 0≤x≤π

Q: 28. (2A + B²)4

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Q: Find the inverse transform of the given function of s. 3 √ 55/2 F(s) = A B There is no correct…

A: We have to find the inverse transform of  Fs = 34πs52.

Q: Solve the given initial value problem by using Laplace transforms. y" + y = 2, y (0) = 4, y'(0) = 3…

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Q: Let f(x) = √22 – 3x and g(x) = -5x - 9. • You must combine all like terms before you submit your…

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Q: Find the area of the region bounded by the curves y = xe -0.4x Area = x = 5, and y = 0. >

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Q: Find the integrating Factor of (2xy² + ]dx + 4x²ydy =( Select one: O a. l/y O b. y^2 О с. у O d.-y O…

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Q: 25. If a and h are real numbers, find the following values for the given function. The function is…

A: The numbers a and h are real numbers. The function is f(x)=x2-x+1

Q: 3. Use the variation of parameters method to find the general solution of the following Des 2ex ex +…

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Q: boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on…

A: let x = horizontal distance from bow of the boat to dock  let y = height of dock  = 1 m = costant…

Q: Step 2 Now write the derivative in terms of x by recalling that u = x³ = x + 8. [eu] = (eu) du dx…

A: I have solved step by step in detail....go through the solution

Q: 12 -8 I 0 Challenge #6 4 Plot a parabola through the points. When you finish, press "Check My Work".…

A: We have to plot the parabola from the given points

Q: Find the standard equation of the sphere that has the point (1, — 6, 2) and (3, 5, 6) as endpoints…

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: 6. A curve passes through the point (4, 2), as shown in the figure. If from any point P on the…

A: Let's find equation of curve.

Q: Solve y" + 2y' - 3y = 1 + xex O y = C1e^-3x + C2e^-x + (1/8)x^2 e^x - (1/16)xe^x - 1/3 O y = C1e^-3x…

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Q: Find the parametric equation for the line where the planes 4x + 6y + 2z 12 and 2x - y + z = 2…

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Q: Consider the ellipse A. (-5,1) (x-5)² 256 (y-7)² 400 B. (-5,-1) 1. One of the foci is at (-5,15). At…

A: Given equation:- x-52256+y-72400=1

Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a…

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Q: 4. * f(x) = x² ex

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Q: are

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Q: Find the equation of the line L that passes throught point P(6, – 6, 3) and Q( − 4, 3, — 2). r(t) =…

A: To find the equation of the line L that passes through points P6, -6,  3 and Q-4, 3, -2.

Q: Let f be a differentiable function. A line is tangent to both of the curves y= √1+x2 and y = f(x)…

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Q: f(x) = 3x4 cos(x)

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Q: 2) Draw a graph of a continuous function that satisfies the following conditions. f'(4) > 0 f'(-6) <…

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Q: Find Cross Product Find the cross product u x 7 where u = 6i +8j +8k and 7 = 6i +8j +8k and 7 = (4,…

A: Topic = Vector

Q: Let f(x) = -6x4√√x + f'(x) = -2 x³√√x

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Q: Consider f(x) = x + 5 and g(x) = 1 x² - 4 • You must combine all like terms before you submit your…

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Q: You invest $1000 today at 4% interest compounded continuously. How much will you have five years…

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Q: Let f(x)=x²-3x - 2380, x>0.75. Find the value of df-1 dx df-1 At x = 0, dx (Type an exact answer in…

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Q: In Exercises 9-16 of Section 13.4, you found T, N, and K. Now, in the following Exercises 9-16, find…

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Q: Find three positive numbers whose product is 117 such that the sum of their squares is as small as…

A: Let three positive numbers are x,y and z

Q: Find the derivative of the function: O y = a + (In²a + ln x + 1) O y = 2+1 ¹+¹(x ln² x + ln x + 1)…

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Q: Find the average rate of change of f(x) = 4x² - 6 on the interval [1, a]. Your answer will be an…

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Q: Evaluate the double integral by first identifying it as the volume of a solid. 12 18 (8 - 4y)dA, R=…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the curves x = 3√√y, x =…

A: Graph:-

Q: Differentiate y = 6 + sin x x + cos x

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Q: A person standing close to the edge on top of a 80-foot building throws a ball vertically upward.…

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Q: Find the rate of change of the area of a circle with respects to its diameter when the radius is 6/2…

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