Find [[ cos (x² + y²) dA where D = {(x, y) | 9 ≤ x² + y² ≤ 25}

Q: Let r(t) = (t², 1 — t, 4t). Calculate the derivative of r(t) · a(t) at t = 2, assuming that a(2) =…

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Q: A projectile is launched straight up in the air. Its height​ (in feet) t seconds after launch is…

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Q: True or False: The expression x + 5 is a factor of x4 + 3x³ - 42x² - 6x +80. A B True False

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Q: Find dv/dx by implicit differentiation, given that -x^2/v^2-cos(3v)=-8

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Q: A manufacturer sells video games with the following cost and revenue functions (in dollars), where x…

A: Given: The cost function ( in dollarss) C(x)=0.13x²-0.00006x³ The revenue function (in dollars)…

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Q: The so-called cuspidal cubic is given parametrically by the equations x = t³, y = t² Compute the arc…

A: It is given that x=t3y=t2

Q: Use the​ price-demand equation to determine whether demand is​ elastic, inelastic, or has unit…

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Q: Average Life Span One reason for the increase in human life span over the years has been the…

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Q: 8. Complete two iterations of Newton's Method for the function f(x) = x² −7, using the initial guess…

A: Newtons method to find solution

Q: f(91+ (9t + 2)²/3 dt

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Q: Evaluate the indefinite integral. Answer = +C tan¹(42) de

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Q: Problem #1: Evaluate the following integral, Problem #1: (x - 5y) (x - 5y) dx - 2y² dy where C is…

A: Ans=444.5 For detail go through the solution...I have solved in detail

Q: (0, 0) Corner (0, 0) (7,0) (6,2) (0, 3) (0, 3) 1 (4,4) 40 want to find the maximum and minimum…

A: To solve the following problem

Q: Find the profit function if cost and revenue are given by C(x)= 150 +3.7x and R(x)= 3x -0.06x²

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Q: Find the equation of the line passes through (-2,3) with y intercept 2/3 of the x intercept.

A: Given equation of line passes through ( -2 , 3 )  y intercept 2/3 of the x intercept

Q: d) find the displacement (change in position) between 1 and 3 e) find the average velocity (rate of…

A: According to question,Given Position function,x = 8 sin πt6

Q: A bookstore sells 96 history textbooks per month at $120 each. The owners estimate that for each $10…

A: let number of $10 price increase is x

Q: Find the extreme values of the function f(x,y,z) = 5xy + 5z² on the circle in which the plane y - x…

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Q: If the marginal cost of producing x units of a commodity is given by  C'(x) = 0.3x2 + 2x and the…

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Q: A triangle with area 30 cm^2 is cut from a corner of a square with side 10 cm, as shown in the…

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Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

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Q: 700 (p+1)³² For the demand function q = D(p) = a) The elasticity b) The elasticity at p = 1, stating…

A: The demand function is given as , q=Dp=700p+13

Q: Sketch the region of integration and evaluate by changing to polar coordinates: 10 f(x) L L For…

A: To find:- ∫510∫0fx1x2+y2dydx fx=10x-x2

Q: 2. Sketch the level curve z = k for the indicated values of k. 1 (1). z==(x² + y²), k = 0,2,4,6,8.

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Q: 25 X+5 В x С

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Q: Present value. A promissory note will pay $65,000 at maturity 9 years from now. How much should you…

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Q: Problem 3 d²y(t) — 4 dy(t) + 4y(t) = 2 × e²t dt² With initial conditions y(1) = 3, dy (1) dt = 1

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Q: Find the volume of the solid whose base is the region in the xy-plane that is bounded by the…

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Q: Find the spherical coordinates (p, 4, 0) of the point with the rectangular coordinates…

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Q: Use the equations m = (Σ*k) (Σγκ) - η Σ×κυκ -n and b = n (Ek-mΣxx) with all sums running from k = 1…

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Q: Use spherical coordinates to integrate f(x, y, z) = √√x² + y² + z² over the solid E between the…

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Q: Find the equation of the line 1. Passing through the point (-1, -3) and parallel to the line…

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Q: Integrate the following function with respect to x using partial fraction 2x - 3 r2 – 52 +6 and…

A: Given: ∫012x-3x2-5x+6dx

Q: Write an iterated integral for described to the right using a. vertical cross-sections, b.…

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Q: Find intervals of concavity and any points of inflection for h(x) = x² − 3x² − 1 -

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Q: f(-1)=0 and g(-1)=-1  a. (f+g)(-1), b. (f-g)(-1), c. (fg)(-1), d. (f/g)(-1)

A: Given query is to find indicated function operations.

Q: Calculate the double integral. Sk [[[x sec²(y) dA, R = {(x, /1105x58,0sys X y) y) | ≤ ≤ ≤ R 2}

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Q: Consider the following. Rewrite the given integral as an iterated integral. A = B = J (x - y) dV,…

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Q: d dx Prove that (csc(x)) = -csc(x) cot(x). d dx (csc(x)) = || = = d dx sin²(x) 1 sin(x) 1 -csc(x)…

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)4 at x = 6. y =

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Q: Solve the given differential equation. 4ydx − 4xdy + x°dx = 3dx The solution is (Type an equation.)

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Q: Given that the acceleration vector is a(t) = (−1 cos (−1t))î + (−1 sin (−1t))ĵ + (−5t)k, the initial…

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Q: 3. If F(x, y) = 3x¹y³ – 2x²y³, find F(x, y)/y²

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Question 4 Evaluate (x + 1)e* dx by the method of integration by parts.

A: Given integration is ∫01(x+1)exdx

Q: 1. Determine the area bound by the following functions and double- check your answer.. y = 4x² + 1,…

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Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y² - 20 = 0. The extrema are…

A: To find the extreme values of fx, y=xy subject to the constraint  x2+y2-20=0.

Q: 1. Find all critical numbers of the function f(x) = 1/3 sin (6x) -x, on the interval 0<x< Show all…

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Q: Consider the four graphs shown below. For each graph, select Yes if satisfies the following…

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Q: reduce the equation to the intercepts form. Draw the line. 5. x + 2y = 9 6. 7x – y = -1

A: solution:-(5)x + 2y = 9the intercepts form of line is given byx + 2y = 9divide both side by 9 we…