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Q: At what point on the ellipsoid x² + y² + 4z² = 1 is the tangent plane parallel to the plane x + 2y +…

A: Given data:  ellipsoid x2+y2+4z2=1  Plane x+2y+z=1

Q: 16. Evaluate the definite integral: e¹dx.

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Q: 3. Solve the Absolute Value Inequality. Write the solution in interval notation. 15-pl +13>6

A: Given:- 5-p+13>6

Q: f(x)=-3x(x+2)^3(x+4) im stuck on how to find the zeros of the function and their multiplicities

A: INTRODUCTION The multiplicities of a function, or the number of times the function crosses the…

Q: her f is continuous or discontinuous at ven numbers. B -2 0 2

A: Topic:- continuous function

Q: 9. Show that adj(adj A) = A if A is an invertible matrix with det A = 1.

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Problem 1. The region bounded by the graph of f(x) = 1 +x and the x-axis for 0 ≤ x ≤ 8 is revolved…

A: The region bounded by the graph of fx=11+x and the x-axis for 0≤x≤8  is revolved around the x-axis.…

Q: 1. Solve the linear inequality. Draw the graph of the solution and write the solution in interval…

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Q: Which angles are coterminal with an angle measure of ², ? 2π 3 Select all correct answers. 4π 3 10п…

A: given angle is θ=2π3

Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. (Round…

A: Given: Here,

Q: Evaluate the integral. cos5 (23x) 1 sin³ (23x) dx

A: To solve the given integral

Q: Consider the function f(x) = 3x³ 81x on the interval [-5, 4]. Find the absolute extrema for the…

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Q: Question 1.Consider the first order equation:(sec2(y))y′−3 tan(y) + 12 = 0.  This equation is not…

A: To find he solution of the given differential equation.

Q: 2e(2 sin 7x) sec 7x - dx

A: B=∫2e(2sin7x)sec7xdxwe know 1secx=cosx∫exdx=ex+c

Q: (a) Estimate the area under the graph of the function f(x) = endpoints. Round your answer to four…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

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Q: Graph the given piecewise function f(x) if x ≤0 if 0 2 f(x) = = {²- X- E 5 A (x - 2)² +1 3 42 B+ 5…

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Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: Find the equation of the tangent & normal line to the graph of y = √x-1 at the point (3,2). Con

A: To find the equation of tangent line

Q: Growth of a Cancerous Tumor The volume of a spherical cancerous tumor is given by the function 4…

A: Here we have to find the rate of change in the volume.

Q: own below. x1 x2 x3 x4 x5

A: Topic:- function

Q: 2. Find the limit of the following functions h. 3x² + 5x - 7 lim x-00 6x² + 2x² - 2x + 8,

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Q: inverse Laplace Trans Y(s) = = = 75+ 3-45 - 3-25 S² +49

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Q: help

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Q: Consider the function f(x) = 2x² √11 -x on the interval [7, 15]. Find the absolute extrema for the…

A: Introduction: If f has an absolute maximum on I at c or an absolute minimum on interval I at c, we…

Q: 2. Determine the real values of x for which the scrics n=2 3n+2 + (-1)-¹(3x+5)" 5n+1 is convergent…

A: Sigma_(n=2)^oo {3^{n+2}+(-1)^{n-1} (3x+5)^n}/{5^{n+1}} now for x= -1 Sigma_(n=2)^oo…

Q: The graph of y = f(z) (solid) and y = g(z) (dashed) is shown -6 5 4- 3 2 S -6- $ 6

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Q: QUESTION 3 The equation True O False d²y dx² 1+ ( dy 3 dx is a third order differential equation.

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Q: Write the equation of the tangent plane to the surface given implicitly as xyz2= z3+ x + y at the…

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Q: WORK TO RECEIVE QUESTION 1 In 2010, the enrollment at Mainland High School was 1890 students.…

A: Since we are given with the multiple number question and our guideline is solve first question only…

Q: Estimating Slope In Exercises 9 and slope of the line.

A: here we have to find the slope of the line.

Q: 6. Solve the IVP: (ex + y)dx + (2 + x + ye³)dy = 0, y(0) = 1.

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Q: 57. a. Graph p(x) = x+2 for x ≤0. (See Examples 6-7) Answer b. Graph q (x) = -x² for x > 0. Answer…

A: The given data is: a) Graph the equation px=x+2 for x≤0

Q: 3. Draw the graph of y = x² + 2 and the tangent line to this graph at x = −2.

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Q: Find equations of the tangent plane and the normal line to the given surface at the specified point.…

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Q: 26. The radius, height, and slant height of the cone above are strictly dr ds S increasing with…

A: The  radius, height, and slant height of the above cone are strictly increasing with time. At the…

Q: 15. Show that a is the only eigenvalue and that every nonzero vector is an eigenvector for the…

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Q: Let ƒ be the function defined by f(x) = √√| 4 − x | for all x. Which of the following statements is…

A: The given function is fx=4-x. We have to check the continuous and differentiable of the function at…

Q: Evaluate the integral using trigonometric substitution. (Use symbolic notation and fractions where…

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Q: (5) 4 5₁ √t In Lt) dt =

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Q: Find all the values of x where the tangent line is horizontal. 3 f(x)=2x +42x+270x+4 X= (Use a comma…

A: f(x)=2x3+42x2+270x+4for horizontal tangent line slope is zero slope=f'(x)dxndx=nxn-1

Q: 11. Try again You have answered 1 out of 2 parts correctly. Let h(x) = f(x) · g(x), and k(x) =…

A: Given :- Let hx=fx·gx and kx=fx/gx

Q: 1. Complete the following based on the graph of f(x). -10-8-6-4-2 81 6 4 2 -21 $ 66 -8 f(x) 2 4 6 8…

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Q: A Norman window has the outline of a semicircle on top of a rectangle, as shown in the figure.…

A: Here Window designer might want to maximize the area of window because with this window maximum…

Q: Find the values of x such that the vectors (3, 2, x) and (2x, 4, x) are orthogonal.

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Q: Consider the following differential equation, To solve this differential equation, we must first use…

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Q: Find the quotient and remainder using long division x²-x³+x²²x+2 X²-2

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Q: Part 2: Proof that P(A) n P(B) CP(An B). To prove part 2, select options from the list and put them…

A: To show that p(A)∩p(B)⊆p(A∩B)

Q: Find lim (arctan t, e-7t, 1-0 Int

A: Here is the solution: