Let p(x) = x³ - 17x² + 11x + 76. Compute p '(x) and use it to find all values of x for which p '(x) = 0.

Q: Find the mass of the lamina that occupies the region D = {(x, y): 0 ≤ x ≤ 1,0 ≤ y ≤ 1} with the…

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Q: By the Horizontal Line Test, the graph below represents a one-to-one function.

A: Horizontal line test - If a horizontal line intersect the graph of a function more than once then…

Q: 1. S x(x) dx x(lnx)² sin 0 cos² 0-cos 0-2 2. S- 3. f x² tan-¹ (1) dx 4. f(cot ¹ x + tan¯¹ x) dx 5.…

A: To solve integral

Q: -6 -5 -4 -3 № 10 8 4 2 -2 4 -8 -10+ 1 2 3/4 The function graphed above is: Concave up on the…

A: Solution below

Q: Consider the circle drawn in the xy-plane with center point (-5, 12). (x,y) (a) Determine the radius…

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Q: Find the norm of v. NOTE: Enter the exact answers. (a) v = (3,-3) ||v|| : = (b) v = −7i+j ||v|| : =…

A: As we know that, If the given vector is v=xi+yj+zk or x, y, z then the expression for the norm of…

Q: A farmer wants to build two adjacent rectangular pens sharing a common side. Each pen needs to be…

A: A farmer wants to build two adjacent rectangular pens sharing a common side. Each pen needs to be…

Q: If n(A) = 66, n(B) = 21, and n(A ∩ B) = 9, find n(A ∪ B)

A: n(A)=66n(B)=21n(A∩B)=9n(A∪B)=n(A)+n(B)-n(A∩B)

Q: Consider the function f(x) = ¹ on the interval [3, 10].

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Q: A trough 5 feet long and 1 foot high is filled with water. The vertical cross-sections of the trough…

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Q: Use the graph of f" shown below and the letters A, B, C, and D representing x values to answer the…

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Q: Find the derivative of the given function. y = x:5× dy dx ||

A: y=x.5xd dx(ax)=axlna

Q: Given the series ∞ 5″ Σ n=1 n an+1 an (Express numbers in exact form. Use symbolic notation and…

A: given  ∑n=1∞5nnthere for  an=5nn

Q: how do you solve the equations 1 and 2?

A: Solution: Given data, x³+19x²+103x-135>0 x³+19x²+103x-735<0

Q: Consider the following. u = (2,−1,0) v = (-2, 7, 0) Find u x v. Determine if u x v is orthogonal to…

A: Given vectors: u=<2,-1,0> v=<-2,7,0>   The first vector can be written as, u=2i-1j+30…

Q: The following functions are inverses of each other. f(x) = 3 x3 + 8 and g(x) = True O False 8

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Q: In chapter 4 we will need to factor the results from using product rule. Suppose the following…

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Q: 8. Find the equation of the line tangent to f(x) = (x² - 3)4 when x = 1. Write your answer in the…

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Q: 1-47 Evaluate the integral. 1. fsin'x cos³x dx 2.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: An object's distance from a fixed point at t seconds can be represented by the function f(t) = 5t2…

A: Given function:- ft=5t2

Q: Find the component form of the vector v in 2-space that has the length - ||v||=10 and makes the…

A: To Find : Component form of the vector v in 2-Space that has the length ||v||=18 and makes the angle…

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (3z-2x³-2y²-2) b.…

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Q: Question 4 For the integral: Write the integral again as: 0 0 x+2y+1 --LIT- V = -1 -(x+1) ? ? ? v =…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given specified axis. 6…

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Q: Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values…

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Q: A swimming pool whose volume is 10, 000 gal contains water that is 0.01% chlorine. Start- ing at t=…

A: Given that , Volume = 10000 gal chlorine = 0.01% Rate = 5 gal/min

Q: Give the derivative formula for the function. g'(x): = g(x) = 8 X + e¹2

A: The given function gx=8x+e12. We have to find the derivative function g'x.

Q: Consider the following series. 00 n = 1 converges O diverges Use the Direct Comparison Test to…

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Q: Please help to solve this into detail. Thank you.   1) Find an equation of the plane tangent to…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Consider the following. -x³ + 4, -x² + 4x, Find the critical numbers. (Hint: Check for…

A: We have to solve following sub parts.

Q: all of the answers are incorrect

A: Given Graph:-

Q: Evaluate n Σ'(t) n - k + 1, k=1 n+1

A: To evaluate the following expression.  ∑k=1n+1 knn-k+1

Q: Replace the polar equation r= The equivalent Cartestian equation is y= Choose the correct graph…

A: Given: r=7sinθ-2cosθ

Q: Let F(x, y, z) = (x², 2xy + e³², 3ye³z). Find div F(1,2,0) and curl F(0, 1, 1).

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Q: Suppose that the integral I = and n subintervals: (a) Determine b. b= (b) Determine f(x). f(x) = =…

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Q: Find f-1 (x) for f (x) = x2-9, x>0 оо o O f-1¹(x) = -x² +9 O f-¹(x)=√x + 9 O O f-1 (x) = 1 x² +9…

A: According to question,Given Function,fx = x2-9

Q: I. Evaluate the following limits of trigonometric functions. Provide solutions and box your final…

A: To evaluate the given limit of function

Q: For the function graphed in the figure, are the following nonzero quantities positive or negative? 2…

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. ENOTE: Enter the…

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Q: 4 The volume of a cantaloupe is given by V = The radius is growing at the rate of 0.6 cm/week, at a…

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2³-2x³ - 3y - 1) 1 b.…

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

Q: Find the average value of F(x,y,z) = x² + y² + z² over the rectangular solid in the first octant…

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Q: d² Find and simplify (f(x)g(x)) = O f'(x)g(x) + f'(x)g'(x) + f'(x)g"(x) + f(x)g"(x) O f'(x)g(x) +…

A: Given query is to find double derivative.

Q: Give the derivative formula for the function. g(x) = 6x2/3 − x−1/3

A: To find the derivative

Q: Which of the following integral gives an equivalent area solved by the integral: S™/6 O So -1 cos…

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Q: Use the following function and its graph to answer (a) through (d) below. Let f(x) = choice. 6-x,…

A: Given function:- fx=6-xx<4x+1x>4 Graph of function

Q: Find the derivative of the given function. g(x) = x + ¹ g'(x) =

A: To find derivative

Q: Sabina begins 10 meters to the east of a certain tree, and walks directly to a spot 6 meters north…

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Q: Find exactly the vector oppositely directed to v = (5) and half the length of v. < i

A: Given, Vector ,v = 5

Q: Let u = i - 3j + 7k, v = i + j and w = 2i + 2j — 4k. Find ||u+v||. NOTE: Enter the exact answer.…

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