What are all the values of k for which f* x² dx = 0? 3 -3 and 3 0

Q: 10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the

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Q: d dx (f³x²) = ○ 6x63x² (In b) ○ 6³x² (6 ln b) 6x6³x² ○ xb³x² (ln(6b))

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Q: Given : y = cot √2x + 1 Find dy dx O csc² √2x + 1 √2x+1 O csc² √2x + 1 2√2x+1

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Q: find f'(a) f(t) = 1/(t2+7)

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = −1 and B ′(24) =…

A: Given thaty=B24 x=24y=B24 =-1B'24 =-14To :find equation of tangent line Solution :equation of line…

Q: Find fx and fy, and evaluate each at the given point. f(x, y) = arctan(y/x) ;  (8, −8)

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Q: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

A: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

Q: Find the domain and range of the function graphed below. Use interval notation. 5 4 3 2 1 -5 -4 -3 2…

A: To find the domain and range of the function graphed below. To use the interval notation.

Q: 17 What is the degree of vertex 4? O 1 ez el V2 V₂ Des

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Q: Find f'(0) if f(x) = a; a, b, c, d constant bc-ad O d² ad-bc (c+d)² ad-bc d² ad+bc d²

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Q: QUESTION 5 Given function f(x,y)= A. 2 B. 3 C. D. 0 ANSWER: 6 2 63xy of Evaluate at point (0, 1). ox

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Q: PLEASE RECHECK THIS ANSWER AND ANSWER IN 2 DECIMAL PLACES. UPVOTE WILL BE GIVEN

A: the given solution is correct.

Q: d²y dx² 2 (2x-3)² Find y = O O d²y dx² d²y dx² d²y dx² O d'y dx² = = = = 12 (2x-3)¹ -12 (2x-3)4 48…

A: Given

Q: Give the domain and the range of the function whose graph is shown to the right. When arrows are…

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

Q: 2. Which of the following sets of ordered pairs could be part of a linear function? F II (0, 1), (3,…

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(8r - s, s² - 7r). Use the table…

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Q: Find dy given that x = sec² y y. dx Osec² ytan y cos² y tan y 2 Osin² y cot y O cos² y cot y

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Q: B)Convert r = √2 cos (0-) to cartesian.

A: we need to convert polar coordinate into cartesian.

Q: B)Prove (cose + i sine)" = cosne + i sin no

A: Solution is given below:

Q: Evaluate the integral. 1 -3 6²3 16 + r² dr

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Q: A 200-foot cable weighing 4 pounds per foot is hanging from a winch 200 feet above ground level.…

A: We have to find the work done.

Q: Q4A) Find area bounded by y = 0, y = √x-x² using double integration.

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Q: dy Solve the differential equation dx x6 +4y X

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Q: Find the scalar and vector projections of b onto a. a = (1,6), b = (-7, 1) compab = projb =

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: Let one week's supply and demand functions for gasoline be given by p= D(q) = 288-39 and p = S(q) =…

A: Here, the demand and supply functions are: D(q)=288-43q & S(q)=23q which are the linear…

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

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Q: B)Solve differential equation dx = -(x²+y) x+siny

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Q: -)Find volume of body from above Z=√√4x² - y² and below Z Triple integration. 1 using

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Q: Find (s-¹1)' (5) using the Inverse Function Theorem, given that s(x) = −6x³ – 8x² – 9x - 2. Note…

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

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Q: Use logarithmic differentiation to find y = (In x) sin, x> 1. dy dx given

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Q: S 2³x dx = 0 23x+1 3x+1 23x In 2 O O O + C + C 23x + C In 8 2³x In 2 + C

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Q: B)Convert r = √2 cos(8-) to cartesian.

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Q: Find given that x = sec² y. dy dx Osec² ytan y cos² ytan y Osin² y cot y Ocos² y cot y

A: We know that derivatives power rule is  d(xn)/dx = nxn-1.     Here i attached the solution of this…

Q: 1 f(x) = X g(x) = Inx A) In[f(x) + c C) Inf'(x) + c 1 1+2e-x A) In|1+2e C) Inje*+1| + c 5. f(x) g(x)…

A: We can answer both the question as below.

Q: 3. Derivative of g(x) = 2x + xª − 7x² +3 b) 12x³+4x³ - 14x +3 c) 12x6 +4x² - 14x²_____d) 12x³+4x³ -…

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Q: Evaluate: [x(1-2²) da ¾ O ³(1-x²) + C 3 0-² (1-x²) O 3 + C O 2/(1-x²) + C 3 O ㅇ글 (1-22) : + C (1-x²)…

A: Here we have to find the integral.

Q: Q4A)Find area bounded by y = 0, y =√x-x² using double integration.

A: In this question, we want to find the area bounded by the given curves.

Q: The region in the second quadrant bounded above by the curve y = 4-x², below by the x-axis, on the…

A: Solution is given below:

Q: A manufacturer of shirts determines that her fixed costs will be 500 dollars plus 9 dollars for each…

A: Calculation of above requirement are as follows.

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: you are driving a car away from home.your velocity t hours after noon is given by,…

Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with…

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Q: Find the equation of the line tangent to the graph of f(x) = ₂ at x = 3.

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Q: 37) 1 Solve the following simultaneous linear D.E. [D+1 12 [+1 10+2 5D=210) = (2-1)

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: solve

Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: Solve by Gaussian-Jordan algorithm (reducing to rref). Show all row operations you apply. If the…

A: First we reduce in row eclehon form .

Q: I(X) {(-2,1), (1,4), (2,5), (3,6) g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)] find 1. h[f(1)] 7…

A: 1. hf17=h47                  =-16+27                   =-147                    =-22.…