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Q: 1. Given f(x, y) = e sin(x² + y² ), find -2x and ôxôy ôyôx

A: Given: f(x,y)=e-2xsin(x2+y2)

Q: Consider the function y = tan 4 (-) on the interval 3' 3 a) Find the slope of the secant line on thi...

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Q: A graphing calculator is recommended. Solve the following exercise on a graphing calculator by graph...

A: Let the the initial price be x and the future price be y r=13%=0.13 Future price is y=xerty=xe0.13t

Q: Evaluate the following limit using table of values and graph a. limx→+∞ e2x b. limx→-∞ e5x c. limx→-...

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Q: Verify the identity. (7 cos x-4 sin x)2 + (4 cosx+7 sin x)2 = 65

A: Given, 7cosx-4sinx2+4cosx+7sinx2=65

Q: 7

A: From the given data:

Q: Find a plane containing the point (– 3, – 3, 7(t) = (– 2, – 3, – 5) + t(3, 4) and the line 6, 7).

A: we have to find the equation of plane that contains the point (-3,-3,-4) and the line r→(t)=-2,-3,-...

Q: find the critical numbers of (if any), (b)find the open interval(s) on which the function is increas...

A: given f(x)=4-x2, x≤0-2x, x>0

Q: calculus help Find and classify the local maximum and minimum values of g(x) = e(x^3/12)-x using the...

A: Given:Here g(x)=ex312-xTo find:The local maximum and minimum values

Q: Fiud the in de finite integrae aud Check the results by A1fferen tiaton. 1

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Q: 10

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Q: A rancher has 300 feet of fencing to enclose a rectangular pasture bordered on one side by a river. ...

A: Step:-1 Given that →300 feet of fencing to enclose a rectangular pasture →one side of the rectangula...

Q: 3. s. Using rectangles of equal width use the limit definition to find the area under the curve y = ...

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Q: 5

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Q: Write a polynomial fx that satisfies the given conditions.Degree 3 polynomial with integer c...

A: Solution:- polynomial of degree 3 ⇒highest power of polynomial is 3 and zeros are x=8iand x=95

Q: Answer image a and image b

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Q: 21

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Q: Find the probability that a z-score from a standard normal distribution will lie within the interval...

A: Area under the given points in normal distribution curve gives the probability. The total area of no...

Q: Evaluate the integral.

A: To Evaluate: ∫0∞1e7x+e-7xdx Concept: ∫a∞fxdx=limt→∞∫atfxdx

Q: The marginal cost function for the manufacture of headphones is given by: where x is the number of...

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Q: Find the integral of 2x4(1+x10)-1dx exactly. Show all working.

A: I = ∫2x41+x10-1dxI = ?

Q: Suppose an experiment has six possible outcomes for x: 0, 1, 2, 3, 4, and 5. The probability that ea...

A: you can clearly understand if you follow the below solution

Q: Find the critical point of the following functiony= -x2 + 2x - 2

A: Given: The function y=-x2+2x-2, To find: The critical point of the given function.

Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.4x + 350, what is the ...

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Q: Consider the function f(x) = -6x2 + 4x - 4. Find the critical point, A of the function. At x = A, do...

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Q: Please see the image for question, thannk you in advance

A: Given time dependent height function h(t) - h(t) = 0.8sinπ2t-1+1.8Differentiating h(t) with respect ...

Q: - 2x? – 6x +1 Evaluate dx using Partial fractions. x' +2x – 8

A: Given: I=∫x3−2x2−6x+1x2+2x−8dx

Q: Can you show me how you work this problem

A: you can clearly understand if you follow the below solution

Q: Exercise 9.2 Particle motion. At time t, the position of a body moving along the s-axis is s = t3 – ...

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Q: The question is in the attached image. Thanks!

A: Given: The function fx=ex+cosx for 0≤x≤π, To find: The global maximum and minimum of the function o ...

Q: pls help with both they are part of the same question. its just separated as part a and part b

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Q: S(x-1/3 – x²/3) dx

A: The given integration is I=∫(x-13-x23)dx I=∫x-13dx -∫x23dx

Q: A right triangle has side lengths d, e, and f'as shown below. Use these lengths to find tanx, sinx, ...

A: First identify Base, Perpendicular and hypotenuse in a Right angled triangle. The adjacent side of ...

Q: Suppose an=2an-1+4an-2+4an-3 and a4=4, a5=0, and a6=-16 find a1,a2,a3

A: Given: Suppose an=2an-1+4an-2+4an-3 . . . .(1) and a4=4, a5=0, and a6=-16

Q: The derivative is the slope of the tangent line at any point. Find the equation of the tangent line ...

A: The given equation is y=3x2+2x and the point is -2,8

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods cove...

A: We have the given integral as I=∫θ·sec-1θdθ On performing integration by part, we get the result as ...

Q: 9

A: detailed solution is given below

Q: 3

A: Click to see the answer

Q: Given x° + y³ = 9xy, y is a function of x. Show that the point (2,4) lies on the curve above curve x...

A: We have to show that the point 2, 4 lies on the curve and also have to find dydx by implicit functio...

Q: A person measures the side of a cube as being 10 inches and thus calculates the volume of the cube a...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Calculus Question

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Find the area under the curve y = 3xe for æ > 3. area =

A: Given:The given curve is y=3xe-x and x≥3To find:we have to find the area under the curve