The function f(x) This function has a local maximum at x = with value - with value 5 + 8x + 72x and a local minimum at x = -1 has one local minimum and one local maximum.

Q: Express your final answer at least three (3)decimal places. The population of a townin…

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Q: 1o₂ = 2 · (² x (t) ·cos (nwot) at + = + [² 2 a 2¹ (1-4) Cos (2nit) dt =21 (1-t) 2 [- (t-1) Sin…

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Q: 4. Let f: [a, b] → R,g: [a, b] → R, and x E [a, b] such that f'(x) and g'(x) exist, g'(x) = 0, f(t)…

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Q: x= 4+² +7, y=t, t = -1 Write the equation of the tangent line. What is the value of dx² d²y dx² at…

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Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

A: Calculate the value of D and then decide the nature of critical point.

Q: Are the partial derivatives and gradients of a function the same, no matter your starting position?

A: Topic:- application of derivatives

Q: 3. The value of A. B. C. D. [xsản xdx (1 - x²) 3/2 + C -sin-¹ x - √1 − x² + ² - (1-x²) ³/² + C sin-¹…

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

A: Given that , fx,y,z=x2+y2+z2 and constraint is x+y+z-27=0 find the extrema using Lagrange…

Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

A: Taylor series of function fx at a is defined as:…

Q: state the domain and range for each of the following:

A: Given set of points S={(-3,-2),(-2,-1),(-1,0),(0,1),(1,2),(2,3),(3,4)} We know that domain is the…

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

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Q: . Find a formula for f(x) iff(x) = ln(x - 1). (Hint: x-₁=(x-1)^¹')

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Q: Evaluate the integral Select the correct answer. O ㅇ 12 πC 24 πC 12 + + + 나이 이어 나이 이어 1 4 −|◄ −|+…

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Q: For every 2 x 2 matrix A, we have det (A)² = (det (A))². O True O False

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Q: Sketch the graph of the function by first making a table of values. f(x) = 1

A: This question can be solved using the concept of plotting of graphs.

Q: Determine the values of r for which the differential equation y"" + 5y" + 6y' = 0 has solutions of…

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Q: ar lim ƒ(x)=-1 2) 1 →→2 Given find the following lirnit 3/7f(x)- g(x)² g(x)+1 lim 2 and lim g(x)=1…

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Q: Find G'(w) if G(w) = 9 6 4w +6+ √w.

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

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Q: Find the areas of the regions enclosed by the following curves. (b) r² = 4cos20

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Q: Ass: 一 V EXAMPLE 6 Find the area enclosed by the line y = x - 1 and the parabola y² = 2x + 6.

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Q: your final answer at least three (3)decimal places.   Find the area of the region under the curve…

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Q: Use a sign chart to solve the inequality. Express the solution in inequality notation and in…

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Q: Find the minimum cost of producing 50,000 units of a product, where x is the number of units of…

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Q: A pilot is flying from Daytona Beach to Prescott. The two cities are 1874 miles away from one…

A: Let speed of light  = Va         wind speed  = Vw = 12mph  let flight flying direction WαN       ⇒…

Q: Evaluate f cos*x sin² xdx. 1 16 A B O A 1 -x+ sin 4x 48 1 =x+ 16 1 8 sin 4x 1 64 1 sin³ 2x + C sin³…

A: We need to evaluate integral.

Q: 3. Find the volume of the solid of revolution formed by revolving the region bounded by y = x - x³…

A: To find out the volume of revolution.

Q: 12) Find the area Under the curve y = e = from X=0 to

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Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A: The function is given by fx = 3x2+5x-3x2+3x-10 To evaluate: The equation of vertical Asymptotes and…

Q: To evaluate the integral 3 100 + x² -dx, which of the following substitution shou be used? Select…

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Q: Find the slope of the tangent line to the graph of f(x) = √√√x-2 at x = 6. Provide your answer…

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Q: Use the Limit Comparison Test to determine if the following series converges or diverges. 00 Hint:…

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Q: Use the shell method to write and evaluate the integral that gives the volume of the solid generated…

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Q: Consider the graph of y = f(x) shown below in blue. Submit your answer to this question by…

A: We need to find tangent.

Q: Solve this on І Гжу. d = y T2 x y Sin mx Sin ny dx dy =?

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √5 -x, 3 ≤ x…

A: We know that surface area obtained by rotating the curve y=f(x) about x axis between x=a & x=b…

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: From the given graph, we discuss about the discontinuous points and its types

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

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Q: f(x)=√x+1

A: Graph of the function and equation of the function is given, we have to find its domain and range

Q: Use the Root Test to determine if the following series converges absolutely or diverges. n² 00 n=1…

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Q: b. On a 6 foot long shelf filled with books, the function B models the distribution of the weight of…

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Q: Justin leased equipment worth $70,000 for 5 years. If the lease rate is 5.75% compounded quarterly,…

A: calculation of lease payment are as follows

Q: Evaluate Scot ³x 3 dx

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Evaluate 3x e +3 5x e 3 dx

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Q: Find the solution of the given initial value problem in explicit form. 114 y(x) = y' = (1 – 3x)y²,…

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Q: 00 Σ (5 sec1(k+1)-5 sec -¹k) k=1 Sn= Select the correct choice below and, if necessary, fill in the…

A: For a series ∑an the sequence of partial sum Sn is just the sum of the series for first n  terms.see…

Q: xy Find all second order derivatives for r(x,y)= 8x +9y xx (x,y) = Tyy (X,Y)= Exy(x,y)=ryx (x,y) = [

A: Given :rx,y=xy8x+9y

Q: -10 -9 N -8 -6 -5 10 6 8 7 6 5- 4 3 9 1 0 2 3 4 6 8 9 10 Т

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Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed

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