Consider the function f(x) - 2x³ + 45x² - 300x + 5. - For this function there are three important open intervals: (-∞, " 8 ∞)

Q: Find the value or values of c that satisfy the equation f(x) = 2x + 2 X f(b)-f(a) b-a C= = (Use a…

A: Given: fx=2x+2x , 16,6

Q: Order One DE Solve the ff. DE Eqn. 4x 1. xy² - 2y = x cos 3

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: A triangular plot of land has one side along a straight road measuring 300 feet. A second side makes…

A: Let, AB be the road. The side AC makes an angle 53 ° and side BC makes42° angle with the road.

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = 4 2 50…

A: Given query is to find the function of the graph.

Q: Show that the equation x3 - 15x + c = 0 has at most one solution in the interval [-2, 2].

A: The given equation is; x3 - 15x + c = 0

Q: Find dy by implicit differentiation. x² x+y dx 11 = y² + 5

A: Given query is to find the derivative.

Q: Find the slope of the curve at the given point. 8y +7x5=5y + 10x at (1,1) The slope of the curve 8y…

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

Q: Find dy by implicit differentiation. dx e* cos(y) = x + y dx

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Q: Given the augmented matrix 0 k-1 k+1] Select one alternative: ○ k = 1 and k‡ -1 Ok #1 ○ k = 1 and…

A: Given augmented matrix:- 10|       10k+1| k+1

Q: Let f(x) = = f'(x) = = /3x² + 3x + 2 2

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Q: Find the curl of the vector field u = a) b) ▼xu =( V. (V x u) = = (7xyz², 6x² y³, 2x³ y³ z4 ).

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Q: The polynomial of degree 3, P(x), has a root of multiplicity of 2 at x = 1 and a root at x =…

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Q: q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit,…

A: Given query is to find marginal profit function and marginal profit

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Suppose that f(x) = 15x - 8 In(x), x > 0. (If an answer does not exist, enter DNE.) (a) Find all…

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Q: Find a formula for the general term an of the sequence (starting with a₁): 1 1 1 1 6' 12' 18' 24' an…

A: Given is to find the formula for nth term

Q: What value of  b  would give the following function  f(x)=x3+bx2−3x+C  a critical point at  x=−3…

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Q: answer

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Q: The form of the partial fraction decomposition of a rational function is given below. A B = Now…

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Q: What is 93rd derivative of cos(x)

A: The function is given by y = cosx To evaluate: the 93rd derivative of the function. Formula Used:…

Q: find the slope of the curve at the indicated point. Y= -6x-6, x=3

A: Given query is to find the slope of the curve.

Q: where c = m = 9 -5 6 w -6. -9 -12 d The net signed area in the above graph can be written as [² d =…

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Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Use maximization concept

Q: Find an equation of the plane with point P (2, -1, 3) and containing the line L: x-3 y+4 z-5 -6 10 =…

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Q: #Solve the following IVP x= x+y y = -6x+6y y(0)=18 Then find x(0.25) to at least the nearest…

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Q: Find the indefinite integral. (Use C for the constant of integration.) [x² x cos 7x² dx

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: how can i find the inverse to a function

A: How to find the inverse to a function

Q: Find the area cut out of the cylinder a² +2²=16 by the cylinder x² + y² = 16.

A: Given: x2+z2=16 and x2+y2=16.

Q: intercepts. f(x) = (x + 1)²(x-4)²(z - 6)

A: Topic = Functions

Q: Problem 1. True/False. ex ex lim x 0 x lim x 0 1 Think carefully about the conditions for…

A: Here we have to state whether the statement is true or false.

Q: Given f(x, y) = 2e¹* sin(3y) ㅠ then Vƒ(0, ▼ ƒ(0, 7/2) =

A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

Q: (a) In(a + b) In(a)In(b) for all a,b > 0 OTrue False (b) In(a-b) In(a) + In(b) for all a,b>0 OTrue…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: 1. Suppose f is differentiable everywhere, f(0) = −1/2, and f' is graphed below. 1 X پر 2+ (a) Find…

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Q: 5. A potter can produce pitchers at a cost of $5 each and fixed costs are $25 per day. She estimates…

A: Topic - Application of derivatives We are given, Fixed cost =$25 Cost per pitcher =$5 Price…

Q: [2√T S Suppose you use the substitution u = 1+ 3x³ to evaluate the definite integral of the…

A: The given definite integral, ∫01x21+3x3dx We have to find the equivalent expression using…

Q: Find the general solution of the following differential equations:- 1) x² (y² + 1)dx + y√x³ + 1 dy =…

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Q: 12. A bank account grows at 5% interest compounded semiannually. How long will it take for the…

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Q: Given the function ƒ(x) = 5x¹ + 75x³ + 315x² + 405x, and one of its factors is (x + 9), write f(x)…

A: Giv     fx=5x4+75x3+315x2+405x    One of its factors is x+9 Factor out common terms:…

Q: 11. A rich uncle wants to make you a millionaire. How much money does he need to invest at the time…

A: We know At=Pert⇒At=Amount at time t⇒P=initial amount ⇒r=rate of interest ⇒t = time in years

Q: Find √√√³ J₁ 3 d.A over the region R = {(x, y) | 0 ≤ x ≤ 5,0 ≤ y ≤ 6} by identifying it as the…

A: Please see the below picture for detailed solution.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Sketch the graph of the function below, including correct signs, x-intercepts a intercepts. f(x) =…

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Q: Differentiate f(x) = 8√√/5x6 + 6x¹. Simplify your answer and enter it without fractional or negative…

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Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

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Q: f(x) = 6x - 5 (a) Find the inverse function of f. f-¹(x) = + 5016 (b) Graph fand f-1 on the same set…

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Q: vinnnnn 2. Use sigma notation to write the Taylor series about Xo =1, for Inx.

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Q: Suppose the inverse of a matrix  A  is a matrix  B, and vice versa, the inverse of  matrix  B  is…

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Q: Solve for the general solution of the given differential equation: O 2x^3 + 3y^2-6y=c O 2x^3 + 3y^2…

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Q: Solve each of the following integrals. (a) [{(t+1)7 + cost 7+kat 1+ 30 (b) s((ae²) 7 + (31) di

A: See the details solution in below