d da -f(x) = cos x, f(0) = 9.

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Q: A ball of radius 14 has a round hole of radius 3 drilled through center. Find the volume of the…

A: Given query is to find the volume of the resulting solid.

Q: Consider a wire 4 ft long cut into two pieces. One piece forms a circle with radius r and the other…

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Q: circle with radius 2 miles. Find the length of an arc with angle 90° in a mi

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Q: A quadratic function f is given. f(x) = x² + 4x + 3 (a) Express fin standard form. f(x) = (b) Find…

A: Let's find standard form , x and y intercepts, vertex, domain and range.

Q: ind the equation of the tangent line to the graph of the function f(z)=(22+ 10) (-2) at the point…

A: Given query is to find equation of the tangent.

Q: x+6y=12x6₁ dx for the above linear equation if the initial condition is y(1)=2, then the constant c…

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Q: INSTRUCTIONS: Differentiate with respect to g(x) = ln(x√x² - 1)

A: according to bartleby guideline we do only first part g(x)=lnxx2-1d…

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Q: he concentration of a drug t hours after being injected is given by C(t)=0.5t t^2+59. Find the time…

A: Topic:- application of derivatives

Q: Find d2y/dx2. y=1/x10

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Q: If r(x) x-intercept(s) = x+4 x²-4 ,find the following: a. b. y-intercept c. Vertical asymptote(s),…

A: given function is  rx=x+4x2-4

Q: 1. The graph below shows the function f(x) = 3(2)*. a. Where is f(x) increasing? Explain. b.…

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Q: Parameterize an ellipse centered at the origin with major and minor axes of lenghts 12 and 2 on the…

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Q: Sketch the curve of the following:  y = x + cosx *please use handwriting not typing, I understand…

A: Given that y=x+cosxTo sketch :curve of the function.Solution :y=x+cosxif x=0y=0+cos0y=1

Q: Question 1. equation : y cost + 2te³ + (sin t + t²e³ − 1)y' = 0. 1: Consider the differential a)…

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

Q: 6. f cos³x√sin xdx)

A: sin2x+cos2x=1∫xndx=xn+1n+1

Q: 1) If f₁ ln x dx = 1 and ₁² lnx dx = 1+e² then fe² lnx dx = a) e² b) 2+ e² c) -e² d) −2+ e²

A: If ∫1eln x dx=1 and ∫1e2ln x dx=1+e2 then to determine the vaue of ∫ee2ln x dx.

Q: Evaluate: a) O 87 3 b) 4T c) 0 2T d) O 16T 3 e) 8T TIT 0 0 rdz dr de

A: Solution :∫0π∫02∫0r2rdzdrdθ∫0π∫02r∫0r2dzdrdθ∫0π∫02rz0r2drdθ∫0π∫02r3drdθ∫0π∫02r3drdθ∫0πr4402dθ∫0π4dθ

Q: b) The cost structure for iPhones are as follows, fixed cost of $25 and variable cost per unit of…

A: Given:Fixed cost=$25Cost price per unit=$2

Q: The point in a lunar orbit nearest the surface of the moon is called perilune and the point farthest…

A:

Q: Find all values of y such that the distance between  (9,y) and (-4,6) is 15. y= ?

A: We know Distance formula= x2-x12+y2-y12

Q: Find the volume of the largest right circular cylinder that fits in a sphere of radius 1. V = +…

A: I am attaching image so that you understand each and every step.

Q: d²r Differential equation: = -32k -32k dt drl

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Q: Which graph is a possible sketch of the function f(x) = (x-6)(x+3)³ ? 625 500 375 + 250 125 +…

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Q: 2) Evaluate 21 S.SI xy + y" dy dx

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Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 300 + 700t - 120t², where t…

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Q: j 877 O O kla 2/9 O O 191 O

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Q: c) = 5) =

A: Topic:- application of derivatives

Q: 10. Find an area between two curves of the given equations. 3 y=-x ²³+2, y=x-3, X=-1₁ X= 1

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Q: Find the maximum and minimum values of the function f(x, y, z) = yz + xy subject to the constraints…

A: Given:f(x, y, z)=yz+xysubject to constraints:g(x,y,z)=y2+z2-81=0h(x,y,z)=xy-2=0

Q: Question 2. differential equation 1 = y² + y 1. -3 2 Consider the following 2 +2y ∙y = Y a) Is the…

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Q: Suppose f(x, y) = xe 2-32². Answer the following. 1. Find the local maxima of f. List your answers…

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Q: Determine whether the improper integral converges or diverges, and if it converges, find its value.…

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Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the…

A: Let's find height of the water increasing rate.

Q: Find the absolute maximum and absolute minimum values of f on the given interval f(x) = x √4- x2…

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Q: (²) (-1) (ƒ- g)'(-1): 1) = (f+g)'(-1)

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Given s(t)=4t+8​, where​ s(t) is in miles and t is in​ hours, find each of the following. ​a) ​v(t)…

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Q: Consider a third-degree polynomial f(x), which has the properties f'(1) = 0, f'(3) = 0. Can there be…

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Q: The curve with parametric equations x = 2t cost, y = 2t sin t, and Z = 2t lies on z = x² + y².…

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Q: Find the local and/or absolute maxima and minima for the function over the specified domain: y=√x -…

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Q: 6. Find Indefinite integral. Show all yo √(x² + 5*) dx 7. Evaluate Definite Integral .Show all your…

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Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…

A: We can find the velocity of the particle.

Q: Find the periodic withdrawals PMT for the given annuity account. HINT [See Quick Example 4.] (Assume…

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Q: What is the minimum vertical distance between the parabolas y = x2 + 1 and y = x - x2   *please use…

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Q: 1. INSTRUCTIONS: Differentiate the following func- tions (respect to a) using any method. (a) f(x) =…

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Q: LIM x to 09 tanh(x)/tan(x) using the L'hospital's rule

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Q: Find the derivative of f(x)=x12

A: I am attaching image so that you understand each and every step.

Q: Express the location of (-6, -9,-7), given in Cartesian coordinates, in spherical coordinates. Round…

A: This question is related to coordinate system, we will solve it using given information.

Q: X 2 1.5 10.500.5-11.52 -2 y -1.5 -1 -0.50 0.5 1 1.5 2 14 13 12 Z 11 10 Find the surface area of the…

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