5 s2+ 3 s2 –8

Q: a) Determine if the geometric series below is convergent or not. 107 -1 Σ n=1 3n +1 The series is…

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Q: Find the critical point of the function f(x,y) = 3x2y2 + 2y2 + 2x2. a. (0.82,0) b. (0,0) c.…

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Q: The marginal cost of manufacturing æ yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x² (in…

A: This is a problem related to changes in cost per yards of production. Based on the general formula…

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z? = 33, (1,…

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Q: Find the generals solution to the following 2nd order Non Homogeneous ODE: x?y" -3xy" +4y=2x?

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Q: Find the second derivative of the function. f(x) = 9(x2 − 1)2

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Q: Identify whether the following functions are continuous or not. Write your solutions on a separate…

A: Find your answer below

Q: n f(x) = 3x³ + 2x 5 verify that f(x) is invertible and, if so, find the equation of the tangent line…

A: Topic:- application of derivatives

Q: If f(x) = 6 + 5x – 5a, find f'(- 3).

A: Topic = Derivative

Q: Find an equation of the hyperbola having foci at (1,-2-/25) and (1, -2+25) and asymptotes at 3 r- 4.…

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Q: Consider the following function. f(x) = |x - 3| %3D Find the derivative from the left at x = 3. If…

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Q: A particle moves in a straight line with velocity t-2 – * ft/s. Find the total displacement and…

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Q: Find the indicated terms of the geometric sequence with the given description. The third term is…

A: To find the indicated terms of the geometric sequence with the given description. The third term is…

Q: Suppose f(x) = r² + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

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Q: The two parameter family of solutions of the DE: y" + 25y = 0 is y = c1 sin 5x + c2 cos 5x. Then,…

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Q: Consider the following. (The graph Is called a serpentine.) 36x +36 Find the derivative of the…

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Q: The graph of f is shown. State the signs of f'and f" on the interval (0, 2). Help? Read It

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Q: Given the piece-wise function x² – 2x + 5, Зx2 - 2х - 5 f(x): 0 2 Determine whether f is continuous…

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Q: Evaluate. (Be sure to check by differentiating!) 8 dx, x# - 8+ 9x J8+ 9x dx = (Type an exact answer.…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: 3. Find the equation of the tangent line to the curve y = x2 – 3x + 4 that is perpendicular to the…

A: As per the company's guidelines,  we are supposed to solve first question for you,  kindly repost…

Q: Find the normal line for the level surface f(x,y,z) = 3x3 + cos (2y) + ln (2z) = c at the point…

A: f(x,y,z)=3x3+cos(2y)+ln(2z)-c=0Fx=9x2 , Fy=-sin(2y) , Fz=12z×2=1z∇F =<Fx,Fy,Fz >=<9x2,…

Q: Find an equation of the Ellipse that has Foci (-1,-2) & (7, -2) and vertex (8, -2). (a-3)2 (y+2)? 1…

A: We need to find equation of ellipse.

Q: 4.On which condition is the function differentiable at a point? A) continuous at the given point B)…

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Q: 1) Find the exact length of the polar curve r = 2+2 cos 0. Show All Your Work!

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Q: Use the General Power Rule to find the derivative of the function. y = 12 3 4x2 + 7 y' =

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Q: a)Find the average of the function f(x)= x² +1 on the interval [-1,2] Answer:

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Q: 5. A farmer wishes to fence off a rectangular region next to a straight wall. The side of the…

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Q: (a) Find the derivative of the function f(x) = %3D ex-1 (b) Find the derivative of the function g(x)…

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Q: 2. Find f(2.6) by interpolating the following table of values. Using Lagrange interpolation. i xi yi…

A: I am attaching image so that you understand each and every step.

Q: 3. A curve has parametric equations r = sin(3t) and y = cos(t) where t takes all real %3D values. dy…

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Q: The series n=4 is convergent. The term a29 of the sequence {a,) given by 2 3 4 5 5'7'9' 11 is 31 63…

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Q: Find the derivative of the function. y = 4t   t + 7 y' =

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Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

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Q: 1 31 41 В' 25' 32

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Q: 19. Suppose that the normal unit vector N of a surface S at z =f (x,y) is determined, how does the…

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Q: The sum of two positive numbers is 40. What are the numbers if their product is to be the largest. A…

A: let the two numbers be "x" and "y "x+y=40 → (1)F(x,y) = xyF(x)= x(40-x)F(x)=40x-x2differentiate…

Q: Is the set Z of integers countable? Why or why not? How about the set of all odd positive integers?…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 2. Which phrase best describes a function which has the following table when it's graphed. -2 -1 2 7…

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Q: find tai' U3 exady in radions

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Q: Graph the region bounded by r= 6cos3θ

A: We have to graph the region bounded by  r = 6 cos 3θ.

Q: (2x- 1)dx, n = 4 Calculate the Riemann sum of the integral using the given value of n.

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Q: Find (f1)'(0). f(r) = | V1 + t2dt %3D (f1) (0) =

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Q: tan 7x i) lim x+0 sin 3x sin(x2 + 3x + 2) j) lim x+2 x + 2

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A: Given,            fx,y=cosx+y , P0,π , Qπ2,0To find : Find the directional derivative of the…

Q: A college student borrowed $44,000 to pay for tuition, room, and board. Some of the money was…

A: A college student borrowed $44,000 to pay for tuition, room , and board. Some of the money was…

Q: For the following function, make a table of slopes of secant lines and make a conjecture about the…

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Q: Solve the problem. Find the number of units that must be produced and sold in order to yield the…

A: Profit function:P(x)=R(x)-C(x)P(x)=4x-0.01x2+0.6x+40P(x)=3.4x -0.01 x2 -40

Q: Test the series below for convergence using the Root Test. 8"n3n (7n +1)" n=1 The limit of the root…

A: Solution is given below