y= √√4-x², x = -2, x = 0, y = 0

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

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Q: Homework

A: ∫∫R​12xdA=1962​≈277.18Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Determine whether the sequence converges or diverges, if it converges, find the limit.  an= e-1/√n

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Q: Find the curvature of the curve (t) = = (4t, 4t2,35) at the point t = - 2. Give your answer to 2…

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Q: The function f(x)=1+8x+72x^-1 has one local minimum and one local maximum. This function has a…

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Q: Let f(x) = 3x² - 2x. (a) Use the definition of derivative and the Procedure/Example box in this…

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Q: find the limit

A: The objective of this question is to find the limit of the expression sin(x) - sin(x)cos(x) + 2 as x…

Q: The area between f(x) and x axis given S₁ = 7, S2 = 10, S3 = 6, S4 = 5, find # 3 -3 -2 S₁ σ $ 4 A 4…

A: First, recall the Integral of the Function over Adjacent Intervals: If f is a continuous function…

Q: f'(0) = Let f(x)=7e+2 + e¹.

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Q: Use the quotient rule to find the derivative of the function. y' = ☐ (Simplify your answer.) 6 y=…

A: y=4x+16​let:u = 6 u' = d/dx(6) = 0 v = 4x + 1v' = d/dx(4x + 1) = 4 Solution:Substitute and simplify…

Q: Find the derivative of each function include all steps

A: Question explained below : Explanation:ANSWER : ( e ) ​​   ANSWER : ( f ) ​​   ANSWER : ( g ) ​​…

Q: Use the quotient rule to find the derivative of the given function. 2 8t² -5t f(t)= 9t +2 f'(t) = ☐

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Q: Let f(x) = (ƒ¯¹)'(x) = 6 x+4 1 . Find (f)(x) using the formula ƒ'(ƒ¯¹(x))' and check your answer by…

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = √1-x2 f(x) = 1 + DO…

A: To find the Maclaurin series for f(x)=1−x2​1​, we use the binomial series expansion. By substituting…

Q: Find the slope of the tangent line to the polar curve r=4-5cos(theta) at theta = pi/3

A: If you have any questions let me know in comment box thankyou for your question.

Q: Express as an integral using spherical coordinates, then evaluate to find volume V for the region.

A: We need to find valoume of the given solid.

Q: Find the equation of the tangent line at the given point on the following curve. 2xexy = ex5+ yet? ‚…

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Q: II) For the following exercises, find zeros and its multiplicity of the polynomial functions. 1.…

A: The answers have been provided.Explanation:

Q: Explain the difference between the average rate of change of y as x changes from a to b, and the…

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Q: (a) f(x, y) = x²- xy + y²+9x-6y+ 10 (b) f(x, y) = (x² + y) ev/2 dues and saddle points of the…

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Q: Solve the problem. 10) Find the equation for the tangent plane to the surface 6x+5y - 5z = -9 at the…

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Q: Find all local extrema using the second derivative test. 1. f(x)=x2-1n(x) 2. f(x)=x-2sin(x) 3 .…

A: Second Derivative Test Formula:If f′′(c)>0, then f(x) has a local minimum at x=c.If  f′′(c)<0,…

Q: Test the series below for convergence using the Ratio Test. 5" N82 The limit of the ratio test…

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Q: Sketch the solid whose volume is given by the iterated integral. 1 (7-x- - 3y)dx dy 10 Describe your…

A: The given integral

Q: Consider the function f(x)=1/x on the interval [1,11]. Find the average or mean slope of the…

A: The objective of this question is to find the average slope of the function f(x)=1/x on the interval…

Q: Find the indicated derivative for the function. f'(x) for f(x)=2x-4x+4x-4 f''(x) = ☐

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Q: A company wants to have $30,000 at the beginning of each 6-month period for the next 3.5 years. If…

A: Solution-The given annuity is Annuity due because the payment is done beginning of each period.a)…

Q: x-17 Find the area bounded by y = x²-3x-54 (Round the answer to four decimal places.) , x = 2, x =…

A: The area bounded by the curve y=x3−3x−54x−17​ is approximately 0.7868.Explanation:Evaluate the…

Q: A curve with polar equation r = 42 6 sin(0) + 31 cos(0) y = has Cartesian equation:

A: cartesian equation is y=7−631x​Explanation:Step 1:given that r=6sinθ+31cosθ42​using cross…

Q: d11 is not a grade is a standard!!

A: Step 1:Part(a)(i) Yes, the graph indicates that x=0 is a critical point.A critical point of a…

Q: Let f'(x) = x² + 4x³ + 2x² + 12x+1 a. For what values of x is f(x) concave up? (Blank 1) b. For what…

A: The objective of this question is to find the intervals of x for which the function f(x) is concave…

Q: Find the y-coordinate of the point of diminishing returns for the following logistical growth…

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Q: Find an equation of the line tangent to the graph of f(x)=(5x+4) (6x-5) at the point (1,9). The…

A: The given function equation is

Q: Find the average rate of change for the following function. f(x) = 4√√x between x = 1 and x = 9 The…

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Q: A rectangular page is to contain 36 square inches of print. The margins on each side are to be 1…

A: To minimize the amount of paper used for a page with a fixed print area, we need to find the…

Q: An 8-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. Find the length of the…

A: The objective of this problem is to find the length of the shortest ladder that can reach from the…

Q: Let f(x)=2x²-2x and g(x) = -4x-1. Find f[g(3)]. f[g(3)] =

A: Step 1:

Q: Show that the sequence defined by  a1=1      an+1= 3-1/an   is increasing and an< 3 for all n.…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Solve the initial value problem d= (x-7)(y — 9), y(0) = 6. - y =

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Q: dy e-1 Let y f(x) be the particular solution to the differential equation condition f(1) = 0. What…

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Q: 2) Evaluate the following definte integrals: a) 4√-3V

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

Q: Annual sales of fountain pens in Littleville are 8,000 per year and are increasing by 9% per year.…

A: The annual sales of fountain pens are 8000 per year It is increasing at a rate of r=9%

Q: A ball is thrown vertically upward from a height of 7 feet with an initial velocity of 70feet per…

A: Given values:ho = 7 ft.u = 70 ft./s Solution:We know, highest distance travelled from initial height…

Q: A contour diagram for a function f(x, y) is shown below. 5 3 - 29- 27 -30 31 26 2 25 1 24 28 23 1 21…

A: The objective of this question is to identify the global maximum and minimum values of a function…

Q: show all steps please! thank you!

A: Given position function with respect to time for particle 1s1​=4t−t2 -----(1)The position function…

Q: Suppose f" (x) > 0 on some interval (a, b). Check all of the following statements that must be true.…

A: The objective of the question is to determine which of the given statements are true given that the…

Q: Find the maximum and minimum values of the function g(theta)=8theta-9sin(theta) on the interval 0,…

A: local minima and global minima is (0.4579, -0.3160)no local maximaglobal maxima (1.5708,…

Q: A) determine the domain of the function B) determine the zeros of the function C) determine the…

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Q: Find the derivative of the following function. y= x e-9 In |x| y' = (Simplify your answer.)

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Q: Find the area of triangle XYZ if ZY = 30°, z=9 and x = 5.

A: For given triangle XYZ∠Y=30∘.z=9 and x=5.