3 Find a cubic function Y= ax²³²+ bx tcx td whose graph has horizontal tangents at the points (-2.4) and (2,-2). Y=

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Q: 9. Rotate the region bounded by y=y=9, x = -2, x = 1 1 3 about the y-axis.

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A: Given function is :-x2y-y2x=1To differentiate it, use :-ddxu(x)v(x)=u(x)ddxv(x)+v(x)ddxu(x).and…

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Q: The value of the definite integral [²3x²dx 3x² dx is Select one: 3 26 1 26 26 none of the others 26…

A: Solution is given below:

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A: We need to explain function.

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Q: find the tangent line of the function below f(x)=x+4/x and (2,4)

A: This question is based on finding slope to find out tangent line at a point.

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A: Let's solve.

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Q: Locate the stationary point of the function z = 3x² + 4xy + 3y² (solve) Saddle point Maximum point O…

A: To locate the stationary point of the given function.

Q: Question 1 a) [ the vectors U₁ = U₂ = Find the value(s) of y such that and are parallel. b) [ ]…

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Q: Solve the following initial value problem. (-1/2) dr de = sin(-60), r The solution is r(0) = (Type…

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Q: 6. Ifw = f(x-y, y-x), then show that, ar + L = 0. dx ay

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Q: The plane containing the point (-7,-1,0) and parallel to the plane 5x + 8y – 2z Ax+By+ Cz = D. If A…

A: Given the plane containing the point (-7,-1,0) and parallel to the plane 5x+8y-2z=-5 has the…

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Q: Evaluate the following integral or state that it diverges. ∞0 J4e-4 -4x dx Select the correct choice…

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Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

Q: Evaluate the following integral. S²²³ x² +48x-16 x-16x dx *** x²+48x-16 3 x³ - 16x (Type an exact…

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Q: Find and simplify the difference quotient f(x)=x² + 4x-5 OA. 2x+h-5 2x²+2x+2xh+h²+h-10 h OB. OC. 1…

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Q: Problem 2. Find the area between these curves: (a) f(x) = 5x-2 and g(x) = 4x + 1 on the interval…

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Q: In the find and prove of lim”→0 (x³), how and what should be defined in terms of ? A. 8 = min {1, §}…

A: This question is related to Limits, we will solve it using given information.

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

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Q: Q5: Find the solution of the following D.Es: 1- x + 5y = x7 at x = +5y 2- y" + 4y + 2y = 13e³x 2, y…

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Q: Set up integrals To find the area of the regions between the curve of y=4 cos x and the x axis for 0…

A: The Solution is given below

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Q: The length and width of a rectangle are measured as 40 cm and 30 cm, respectively, with an error in…

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Q: Q2: Fill in the blanks : 1- ff f(x,y)dydx represents the. 2- y" +(3y')5 - sinx = 4 of order 3-ye…

A: Since multiple questions are asked I am answering first 3 subparts

Q: Find the value of ff xye**y dxdy (solve) (yeye)(xex - e*) Option 2 O yev (xe* -ex) Option 1 (yeyev)…

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Q: 5. Find L¹ s-1 s³ -10s² +24s

A: To find L-1s-1s3-10s2+24s.

Q: Consider the double integral f(x,y)=(x²+y2) 3/² over the region R where y is bounded between 0 and…

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Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

A: Solution : Given that the figure is

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A: Use disk method

Q: Use the graph of f(x)= ex below to complete part a and b below. a. Find lim ex. X-18 lim e 8118 b.…

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Q: 17/3 cos (t)h(sinct)) dx

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Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

Q: A. Using convolution to find L-¹ [(5+2)(5+4)]. B. Test the divergence of the following series 00 n

A: Note:- according to the company policy we can attempt only one question so please upload the next…

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A: We have to find the initial value problem.

Q: The measure of the angle between the three- dimensional vectors u = (0, -1, -3) and V v = (2, 3, -1)…

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Q: Solve the equation. dx 2x1² dt **** An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

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Q: Let à = (4, 1,-5) and b = (2, -5,5). Find the angle between the vector (in radians) 1.09 X

A: Let's find angle between two given vector.

Q: The Taylor series for f(x) = eª at a = -4 is Σ ²n(x + 4)" n n=0 Find the first few coefficients. со…

A: The solution is given below

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Q: dz 10. Evaluate the integral where C is a simple closed curve cz(z - 1)' in the positive direction…

A: The integral ∫Cdzzz-1, where C is the simple closed curve in the positive directionthat contains the…

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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