If f'(x) = x²(x + 2)²(x − 1)² , how many critical numbers does f have?

Q: The table below shows the value, V, of an investment (in dollars) after n years. n 3 7 12 14 19 0…

A: Solution: By using exponential regression graph plotter

Q: Which of the following conditions form the HYPOTHESIS for the basic form of L'Hopital's Rule? Let f…

A: Use the concept of L’Hopital’s rule when determining a limit.

Q: Convert f(x) = x² + 8x - 4 to vertex form O f(x) = (x+4)² - 20 O f(x) = (x-8)² - 4 O f(x) = (x+8)² -…

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Q: Done A B C webwork.uits.iu.edu E G

A: Solution below

Q: Please help (41-45)

A: Here we have to find the derivative.

Q: 5. Find the absolute maximum and minimum values of the function -x² + 4x + 1 f(x) on the interval…

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Q: Use spherical coordinates to evaluate the triple integral  (e-((x^2)+(y^2)+(z^2)))/sqrt(x2+y2+z2)…

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Q: Find the gradient : f(x₁y) = 3x² - 4x^²y+y²³ at (41-3)

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Q: 5. area A of the surface generated by rotating the region R about the line y = -3. Let R be the…

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Q: Find the Inverse Laplace transform for the followi 2-5s (s-6) (s² +11) a) F(s) = =

A: Note:- Since you asked multiple equations ,according to our policy we can solve only first question…

Q: Integrate the following using To xox $1+2x miscellaneas substitution:

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Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve…

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Q: Find the directional derivative of f(x₁x) = 3x²³-y²° +5x²³y at (2₁-1) in the direction of -37-48

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Q: Please show the work for each wuestion

A: Note :- Since you have posted multiple questions with multiple subparts, we will provide the…

Q: Evaluate the integral. (Use C for the c 1x² 9x x4+x² + 4 dx

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Q: Let u= (−6, −2) and a = (3,-9). Find the vector component of u along a and the vector component of u…

A: There are two components in a vector. One is horizontal and other is vertical. The vector component…

Q: Find the minimum and maximum values of the function y=-3x² + 2x - 4 on the interval [-1,4] by…

A: Given that function is y=-3x2+2x-4 on the interval -1,4. It is required to find the maximum and…

Q: me: 3. What does the lim h 0 f(x+h)-f(x) h Date: 2 =- - 4 indicate about the graph of the function…

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Q: Use the chain rule to find : w=" = 3x²+4+² +6²² where -6+ x = sinft)s, y = costat), z = e

A: w=3x2+4y2+6z2x=sin(-t)y=cos(-9t)z=e-6tdwdt=∂w∂xdxdt+∂w∂ydydt+∂w∂zdzdt

Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: The solution is shown below-

Q: A candy box is to be made out of a piece of cardboard that measures 8 by 12 inches. Squares of equal…

A: Solution: Let the side of the square = x Given : Length of cardboard = 12 inches Breadth of…

Q: 2. You are under contract to design a storage building with a square base and a volume of 14,000…

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Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

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Q: Use the chain rule to find əz əs əz at = II - Z = tan дz əs and дz at u = 9s + 5t, v = 5s - 9t

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Q: Solve the given differential equation. 7ydx - 7xdy + x4 dx = 3dx The solution is. (Type an…

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Q: Consider the following function. P-3 p² + 3 Find the derivative of the function. h'(p) = Find the…

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Q: Use the price-demand equation x = f (p) = 4800 - 4p² to determine whether demand is elastic, is…

A: Given that the price demand equation is x=fp=4800-4p2. a) It is required to determine whether the…

Q: 5. The Cobb-Douglas production function for a new product is given by P(x, y) = 10x406, where x is…

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Q: ▷ Find the parametric equations of the tongent line to the curve of intersection of two surfaces:…

A: Solution below

Q: If f'(x) 0 for all x, which of the following could be a table of values for f? x -1 0 1 (A) f(x) 6…

A: If function f is decreasing then f’(x) <0. Use this concept.

Q: 2) f(0) = f(2)=0 f'(x)>0 on (-∞,1) ƒ'(1) = 0 f'(x) <0 on (1,0) ƒ"(x) <0 on (-∞,∞)

A: f(0) =f(2)=0 f'(x)&gt;0 on(- infinty,1) f'(1)=0 f'(x)&lt;0 on (1 , infinty) f"(x)&lt;0 on(-infinty…

Q: Determine whether the sequence converges. If it does, find the limit. (-1)" In n (a) an = 5n³ (b) an…

A: We have to find whether the sequence converges or not.

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: note: as per guidelines we support only three subparts of the question . kindly repost next question…

Q: Evaluate the integral by interpreting it in terms of areas. 6² ( 1² x - 2) αx -X dx

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Q: (2). z=x² + y,k=-4,-1,0,1,4.

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Q: Evaluate the integral by interpreting it in terms of areas. L₁ (²+ 2 -10 100 - x² dx 2 X 2)

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Q: Question: is there a logarithmic property thay says: ln ∣ a - b ∣ is equal to - ln ∣ a + b ∣   Im…

A: Two concepts Trigonometry equations Logrithmic rule

Q: Let f(x) = 3x² + 3x + 12. Find the x-value(s) where the graph of the function has a horizontal…

A: see below the answer and calculation Note: As per Bertleby Guideline i have to solve only first…

Q: Solve the given differential equation. dy + In xy dx = (10x + In y)dx y=0

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Q: You go to the doctor and he gives you 17 milligrams of radioactive dye. After 16 minutes, 5.25…

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Q: If the total revenue received from the sale of x items is given X items is C(x)=3, find the…

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

Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s as a…

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Q: Consider a price-demand model for tickets to see a specific hockey team play. The price p of a…

A: Given cost function C( q ) = 54q + 50000demand function p = 148-0.01q

Q: Use the two-path test to prove that the following limit does not exist. lim xxy)-(0.0) y +x y-2x…

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Q: - Evaluate the triple integral JJJ, 2x de. where W is the solid in the first octant bounded by the…

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Q: Translate the given matrix equation into a system of linear equations. (Enter your answers as a…

A: Given :- 2-12-43413-800xyz=9-10

Q: If f(x) = 3 x-3 7 and g(x) = 7x³ + 3, are f(x) and g(x) inverse functions?

A: The functions f and g are inverse functions for each other if and only if f∘gx=g∘fx=x

Q: (a) Use the definition given below with right endpoints to express the area under the curve y = x³…

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Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: Since you have posted a question with multiple subpart, we will solve the first three subparts for…

Q: Find the point on the line 3x + 6y +2=0 which is closest to the point (2,-2). Answer is

A: Foot of perpendicular