Consider the function f(x) = 8x² + 5x6 - 2x¹ — 2. Enter the antiderivative of f(x) Question Help: Video Message instructor Submit Question Jump to Answer + C

Q: Given f(x) = (x - a)² where a is constant. Where does the absolute maximum value of f occur on the…

A: Given,            fx=x-a2 where a is constant.To find : Where does the absolute maximum value of f…

Q: Where does the relative maximum value of f occur when f'(x) = x³ - x? (a). -1 (b). 0 (c). 1 (d). 2

A: concept first find x when f'( x ) = 0 if f''( x ) < 0 then maxima will occurs if f''( x ) > 0…

Q: Find the point on the plane x - 2y + 3z = 9 that is closest to the point (0, 2, 1). 5 3 23 8'4'8 )…

A: The equation of the plane  x-2y+3z=9

Q: If the sales tax 4% and the purchase price is $263, what is the amount of tax?

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Q: With reference to the attached scenario: The 100 meter diameter wheel needs to be designed so that…

A: We need to solve wheel problem.

Q: Find the area of the region enclosed by y=6x and y=5x2

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Q: Compute the given integral. farctan(e)de- - +C

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Q: roble ind the derivative of eacl 2t (a) g(x) = 2² ²4 dt fx² -2 t³+1

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Q: x² 3 (x³ – 9)³ This can be transformed into a basic integral by letting Consider the indefinite…

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Q: 4. FIND THE 2ND DERIVATIVE f(x)= (3x²-2)bog (3x²-2); x Solution: x=1

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Q: Suppose the derivative of a function f is f'(x) = (x + 1)4(x − 3)(x - 5)6. On what interval is f…

A: given function is    given that , derivative of a function is f'(x)=(x+1)4(x-3)7(x-5)6 for critical…

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy → when x = 1, y = 1

A: Solve the following

Q: Find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

A: To find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: The given curves are: y=ex,     y=0,     x=-1     and     x=1

Q: Find a parametric representation for the surface. The part of the cylinder  y2 + z2 = 144  that…

A: The answer is in step 2.

Q: Differentiate the following function: f(t) = √t - 1 Aft

A: Please see the below picture for detailed solution.

Q: Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and…

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Q: Problem 6. The series n=2 1 n+1 diverges. (a) You cannot show divergence for this series using NTDT.…

A: The series ∑n=2∞ 1n+1 diverges.a To explain why you cannot show divergence for this series by using…

Q: Solve the FIRST ORDER LINEAR D.E. sin e Linear in r dr de = -1- 2rcos 0

A: To solve the given linear differential equation

Q: Find a critical number of f when f'(x) = 2x³ + x² – 3x. (a.) x = NIW 2 (b.) x = 1 (c.) x = -1 (d.) x…

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Q: Solve for x: 2sinx=3

A: NOTE: Refresh your page if you can't see any equations. . the given expression is divide both sides…

Q: f(x) -x³-2x² -5x+2. Use calculus and show work. Use exact values only. Find all intervals of…

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Q: Use Newton's Method with the function f(x) = x3 - 5 and init X1 = || || x2 =

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Q: onvert the line determined by the symmetric equations - 2 y+1 - 3 form. -2 parametric t) = t) = t) =…

A: Given query is to find the parametric form of the line.

Q: Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old),…

A: We have to find the population of birds.

Q: b) Evaluate S (6x5 — 5x¹ + e*)dx.

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Q: G Question 1 Priv Tern You have $400,000 saved for retirement. Your account earns 4% interest. How…

A: need to find out the monthly withdrawls that the person can do.

Q: What is the minimum possible perimeter for a rectangle whose area is 100 square inches?

A: Given query is to find the minimum possible perimeter.

Q: 1. Consider the sequence an = cos² 3πn² n²-5 a. Does the sequence converge, or not? If it is…

A: To determine whether the given sequence converges or not

Q: 4. /xln2xdx хрх

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Q: stion Determine the concavity of the curve represented by the parametric equations x(t) = −3t² - 3t…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: Prove 3sin x-45 in ³x = Sin (3x)

A: To prove that,3 sinx-4 sin3x=sin3x

Q: 3. The region in the first quadrant bounded by the curve y = cos x and the axes is rotated about the…

A: To find:- Volume of solid bounded by curve y=cos(x) in first quadrant about x axis

Q: Evaluate the integral dx (3x + 5)²' by making the appropriate substitution: u = dx (3x + 5)² 11

A: ∫xndx=xn+1n+1+c

Q: Find the general solution of the HLDE (D2 + 2D + 1)(D2 + 4)? = 0

A: The given equation is; (D2 + 2D + 1)(D2 + 4)y = 0

Q: For f(x, y) = e²¹+¹5%, find the second order partial derivatives fry and fyz of the function. O…

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Q: Create a Cartesian graph and then a polar graph for each: a) r=3+2sin theta

A: need to graph the Cartesian equation and then polar equation

Q: Chapter

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Q: Let v = (x³ cos z, 4 - 3x²y cos z − 3yz² sin x, z³ sin x) be the velocity field of a fluid. Compute…

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Q: Given ƒ'(x) = 3xª − 4x³ + 7. Determine which interval the graph of f is concave downward. (a.) 1<x<3…

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Q: If the two adjacent sides of a rectangle are always on the legs of a triangle, what is the length of…

A: let longer side of the rectangle = xlet shorter side of the rectangle = y

Q: J 4 √ (61 0 (6t - 3) dt

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Q: IS IT POSSIBLE TO DO THE TRAPEZIUM METHOD AND THE SIMPSON METHOD AGAIN BECAUSE IT IS INCORRECT

A: Give the exact values of the approximations provided by these method b)trapezium methods c)Simpson's…

Q: (a) [ 18 18x5 sin (9x²) dx

A: Let's solve given integral.

Q: Expand, that is, perform the indicated operations on the differential operator D. (xD + 2)(xD - 2)

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u= g(x) y = √e*+…

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Q: P 1/^ (1) J 8.

A: Given query is to find the integral.

Q: Use Stokes' Theorem to find the circulation of F = 3yi + 2zj + 2xk around a circle C of radius 5…

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Q: 4. Calculate the integral assuming the following: a. f² f(x) dx = 5₁ g(x) dx = 1 5, S² 12 4 fo b.…

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