Find the equation for which y" = 6x² and which passes through the point (0,2) and (-1,3).

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Q: Find the zeros of the function and state the multiplicities. d (x) = 2x (2x+3) (4x+7)(x − √5) (x +…

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Q: Suppose that f(x, y) = x² + y² at which 0 ≤ x, y and 4x + 9y ≤7. 1. Absolute minimum of f(x, y) is…

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Q: Find and simplify f(x) = loga df (x) dx a 73x² in each case. Show all your work. +*.2 ea . Assume a…

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Q: Find the derivative of the function using the definition of derivative. g(x) = √6-x g'(x) = State…

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Q: 2.2, # 40: For the graph of a function f given, state with reasons the numbers at which f is not…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

A: limx→∞3-ex3+7ex=limx→∞ex3ex-1ex3ex+7                       =limx→∞3ex-13ex+7 On applying the limit…

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Q: Find T, N and B for the curve r(t) = (4 cos(5t), 4 sin(5t), 2t) at the point t = 0 Give your answers…

A: To find T→, N→, and B→ for the curve r→t=4 cos5t, 4 sin5t, 2t at the point t=0.

Q: t The Unzen Volcano in Japan has a magma reservoir located 15 kilometers below the Chijiwa Bay,…

A: We have to slove above question

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Q: A company produces computers. The demand equation for this computer is given by p(q)=−5q+6500. If…

A: let revenue function = R( q ) as we know that R( q ) = q.p( q )

Q: If the tangent line to the curve y = f(x) at (4, 3) passes through the point (0, 2), find f (4)

A: If the tangent line to the curve y=fx at 4, 3 passes  through the point 0, 2, then to find f4.

Q: An apple grower finds that if she plants 20 trees per acre, each tree will yield 102 bushels of…

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Q: A parallelepiped is formed by the vectors A = (-2, 3, 5), B = (4, 2, 8) and c = (1, - 1, 3).…

A: We have to determine the vertices of the parallelepiped.

Q: Write an equation for a rational function with: Vertical asymptotes of x = 6 and x = 7 x intercepts…

A: Given query is to find the function.

Q: 8) Given f(x) = 2x -1; g(x) = x² ; Calculate; a) f(3) b) g(-2) c) f(2d+1) d) f(g(2)) E3

A: We have given two functions  fx=2x-1 gx=x2 (a) Put x=3 in f(x) f3=2×3-1 f3=6-1 f3=5 (b) Put x=-2  in…

Q: Assuming annual​ compounding, find how long it would take for the general level of prices to double…

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Q: Identify the location and value of any relative maxima or minima of the function. Part: 0 / 2 Part 1…

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Q: 2 5 4 -5 Let A = 4- [3 ] and B = [] -3 - 1 3 k, if any, will make AB = BA? What value(s) of

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Q: The populations (in thousands) of two different cities are given by P1=45(1.038)t and P1=48(1.025)t,…

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Q: at the point (π, -5T). The equation of this tangent line can be written in the form y = mx + b where…

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Q: Given r² = tesir Find an and at at ar

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Q: 6) Graph the following equation; (x-2)²+(y-3)² = 4 Also, identify the center and the radius of the…

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Q: Find the length of the curve. r(t) = cos(4t)i + sin(4t)j + 4 In(cos(t)) k, 0 ≤ t ≤ π/4

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Q: Determine if the given points are solutions to the equation |x-2-y=7. (a) (3, 3) (b) ( - , -36) 7 7…

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Q: he current, i, through an inductive motor at the joint of a robot is given by i = } ["vdx Where,…

A: Current

Q: A patrol car is parked 50 feet from a long warehouse (see figure). The revolving light on top of the…

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Q: A company produces a special new type of TV. The company has fixed costs of ​$470,000​, and it costs…

A: Given a company produces a special new type of TV. The company has fixed costs of FC=$470,000 and it…

Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

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Q: 00 2 ln k k (2) Σ k=1 O 2 In k k 2 ln k k 2 In k k 2 In k k 1 k > 00 k > 2, Σ = diverges, Σ k k=1…

A: To determine whether each of the following series converges or diverges. (a) ∑k=1∞ 2 ln kk (b) ∑k=1∞…

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Q: Homogeneous DE M(x,y)dx + N(x,y)dy = 0 is Homogeneous if both M and N are homogeneous functions of…

A: Here we have to solve the differential equation.

Q: 10. x = (y-2)², y = x about y=-1

A: Solution is given below:

Q: You are considering an investment in Justus Corporation's stock, which is expected to pay a div The…

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Q: Find the derivative of y with respect to t. y=cos 1(√√13t) dy dt (Simplify your answer. Type an…

A: Given query is to find derivative.

Q: 3 A hockey player takes a shot 20 feet away from a 5 foot tall goal. If the puck travels at a 15°…

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Q: C. Determine the general solution for each given higher order differential equation or particular…

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Q: 10) A lifeguard is watching a beach from a line of sight 6 feet above the water. She sees a swimmer…

A: ( 10 ) Given height above the water = 6 ft depression =8°

Q: Evaluate the integral. 1/3 2 tan5(x) sec5(x) dx

A: Given intergal:- ∫0π32tan5xsec6xdx

Q: Let the complete solution of Ax = (a) Find the order of A. (b) Find the dimension of N(A). (c) Find…

A: Note: Since you have posted a question with multiple subparts, we will provide the solution only to…

Q: 2 Marvin stands 155 meters from the base of a mountain and looks directly at the mountain's peak. If…

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: How would I find the limit of the following quotient? ((2x-y)^(1/2) -2) / (2x-y-4) lim…

A: Evaluate limx,y→2,02x-y12-22x-y-4 where 2x-y≠4

Q: Find the x- and y-intercepts. x=y²-16 Write each intercept as an ordered pair. If there is more than…

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Q: For the points (3, −3) and (1, 3), (a) Find the exact distance between the points. (b) Find the…

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Q: Suppose a company has fixed costs of $300 and variable cost per unit of 2x +1460 dollars, where x is…

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Q: Hi, please see  the image attached and answer the questions that follow. also please use working and…

A: I am going to solve the problem by using some simple calculus to get the required result of the…