1. Find the equation (in center-radius form) of the sphere whose diameter has endpoints at A(1,4, −2) and B(3, 1,4).

Q: Consider the following parametric equations. Answer parts a. through d.   x=t2​, y=t−3​; −4≤t≤4   a.…

A: Solve the following

Q: (a) Find the average rate of change of the area of a circle with respect to its radius r as r…

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Q: Use integration by parts to evaluate [3.x sin(a) dr. Show all of your work, including what you…

A: Given ∫3xsinx dx formula used ∫u.v = u∫vdx - ∫ddxu∫vdx

Q: g(1) = g(2) = g(3) = g(6) = B. On what open interval(s) is g increasing? C. At what value of x on…

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Q: The equation of motion for a particle moving along the y-axis is given as y(t) = 2t² - 8t + 3 for t≥…

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Q: If f(y) = tan -¹ (3y²), find f'(y). Use exact values. 6y 1+9y² f'(y) = X

A: Given, f(y)=tan-1(3y2)

Q: a. Identify the function's local extreme values in the given domain, and say where they occur. b.…

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Q: tan¹u+C. Use algebra, a u-substitution, and then this 13 1 8x²+2 Show all of your work, including…

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Q: Estimate the area under the graph of f(x) = rectangles and right endpoints. Rn = Repeat the…

A: To estimate the area under the graph of fx=1x2+3 over the interval 3, 7 by using five approximating…

Q: 3) Given that f (x) = 2x + 8 g(x) = 5x – 2 / 4 and h(x) = 2x + 6 / X Find: - i) f (-5) = ii) g…

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Q: Split into partial fractions: 16 4x² +

A: Given :164-x2=1622-x2

Q: Use the result obtained in Problem 20 to find the area enclosedby f1x2 = - 5x2 + 8, the x-axis, and…

A: Given function is f(x)=-5x2+8. The objective is to find the area enclosed by f(x), x-axis. where…

Q: Solve the initial-value problem y" +8y' + 7y=10e ²* y(0) = −2 y'(0) = 10

A: NOTE: Refresh your page if you can't see any equations. . the homogeneous system is  write the…

Q: Given a2 = 7 and a5 = -56 of a geometric sequence, what is the recursive equation for the nth term?…

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Q: PROBLEM SOLVING The table shows the heights y of a competitive water-skier x seconds after jumping…

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Q: Find the Jacobian of the transformation x = - 3u + 7v, y = u² − v.

A: we need to find the jacobian of the given transformation.

Q: 3. Verify that the function F(x) is an antiderivative of the function f(x), then find the given…

A: Since the student has posted two questions (question no. (3) and question no. (5)) and has mentioned…

Q: Solve the initial-value problem Select one: O a. y = -cos x+8 O b. y = -cos x + 5) O c. y = -cos x +…

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Q: Given the geometric sequence 3 ان دا دات 3,125 625 125 48 24 96 www** what is a6?

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Q: Solve f8x cos(7x) dx using Integration by Parts.

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Q: Find the following for the equation f (x) = x² + 9x - 8 Write infinity instead of symbol where…

A: According to bartleby guidelines we supposed to the first three subparts of multiple subparts kindly…

Q: Find the solution to the differential equations xdt = (t³ — 3t) In² xdx

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Q: +axy′+by = 0 with given constants a and b and unknown solution y(x). Assuming that y(x) follows the…

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Q: 1. Sketch the following vector fields (a) F(x, y) = 2i+y²j (b) F(x, y) = Vf where f(x, y) = 4x² + y²

A: Solution: Given data, a)F(x,y) =2i+y2j

Q: Find the difference quotient of​ f; that​ is, find (f(x+h)−f(x))/h​, h≠​0, for the following…

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Q: BOTTOM LINE What is the average velocity of a particle with velocity v(t)=4-t² ft/s from t = 1 to t…

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

Q: Eliminate the arbitrary constants lnx = Asin3y + Bcos3y + 9x2 - 5

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Q: The function f has continuous second derivatives, and a critical point at (-4, 6). Suppose == −8,…

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Q: If a U.S. dollar purchases 90 Argentinean pesos, and a gallon of milk costs $4 in the U.S. and 120…

A: we will find the required.

Q: A company estimates that the total revenue, R, in dollars, received from the sale of q items is R =…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  to find…

Q: Solve f 4x sin(x) dx using Integration by Parts. Use u = 4x and v' = sin(x).

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Q: 2. The population, P(t), of a herd of wildebeest is found to follow the model P(t) = 5000 + 2000cos…

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Q: ∞ k=1 (-1)+¹(x - 1)k k

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Q: Evaluate the integral Answer: dx x2 + 4x + 20 by completing the square and using trigonometric…

A: The given integral: ∫dxx2+4x+20

Q: Find the center and radius of the sphere with equation (x + 4)² + (y − 4)² + (z − 5)² = 25 Center:…

A: We know that general form of the equation of sphere(3-d) is given as -  (x-h)2 + (y-k)2 + (z-l)2 =…

Q: Use the information for problems #6 & 7. Let A = {Bob, John, Sally, Fred, James, Heather, Anna} and…

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Q: Find an equation of the tangent line, at the designated point, to each of the following: a) f(x) = x…

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Q: I Evaluate Answer: sin(10x) cos(10x) dx.

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Q: A flat screen television is advertised as being 49 inches on its diagonal. If the TV is 23 inches…

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Q: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of…

A: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of…

Q: Determine the first two terms and the last two terms in the sum given below. Provide your answer…

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Q: Estimate the area under the graph of f(x) = x² + 2x + 1 over the interval [2, 6] using four…

A: To estimate the area under the graph of fx=x2+2x+1 over the interval 2, 6using four approximating…

Q: A function f is given by ​f(x)=1/((x+2)2). This function takes a number​ x, adds 2​, squares the​…

A: f(x)=1(x+2)2for f(3) put x=3 in f(x)

Q: A spherical balloon is being inflated. Find the rate (in ft2/ft) of increase of the surface area (S…

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Q: f(t) = 96t-21³, -5st<∞⁰0 a. Find each local maximum, if there are any. Select the correct choice…

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Q: 9) The Mean Value Theorem shows that for a differentiable function the average rate of change over…

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: /= 36x² - 4 I -dx.

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Q: The demand for tickets to an amusement park is given by p= 80 -0.04q, where p is the price of a…

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Q: Find the Taylor polynomials P₁. P₁(x)= P₂(x) = P3(x) = P4(x) = **** P4 centered at a=0 for f(x) =3…

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Q: Find the determinant of the matrix, if it exists. (If an answer does not exist, enter DNE.) 1 N -1…

A: If the given matrix A=abcd then the determinant of the matrix will be: A=a·d-b·c   Let, A=871-1-78