Find the equation of the tangent line to the circle x2 + y2 = 25 through the point (3, 7).

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A: The given integral is:∫-22∫x+22x+2 cos3y2-y3 dy dx

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Q: The cost C, of a product, is a function of the quantity x, of the product: C(x) = x²- 4000x + 50.…

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

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Q: Let y = (x² + 5)5. Find the differential dy when x = 3 and dx = 0.5 Find the differential dy when x…

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Q: 2 dx evaluate the improper integral

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Q: ← Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

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Q: 3.5 The value off Jo-o 2 called 1-segment) trapezoidal rule is most nearly 0.388211 -0.5xdx by using…

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Q: The Fourier Series of f(x)= x) = { O FINEO NEM 0, πT-X, −π<x<0 0<x< π over (-π, π) is converges at x…

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Q: To get the best view of the Statue of Liberty, you should be at the position where is a maximum.…

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Q: Question 5. The rate of change in revenue from a recently-installed machine is 60,000t + 45,000…

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Q: cos xdx sin³ 3 X S

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Q: The total number of Atlanta Braves shirts a small gift shop has sold during a calendar year is…

A: The total number of Atlanta Braves shirts a small gift shop has sold  during a calendar year is…

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Q: A rectangular storage container without a lid is to have a volume of 10 m³. The length of its base…

A: Given volume ( v ) = 10m3 let length = l width = w height = h

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Q: The distance that a free falling object falls is directly proportional to the square of the time it…

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Q: The hypotenuse of a right triangle has one end at the origin and one end on the curve y(x) = x2e-4x,…

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Q: Evaluate cos (8x) sin-2 (8x) dx. S cos ³ (8x) sin-2 (8x) dx =

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Q: Find all the first order partial derivatives for the following function. f(xy) = 1 vx2 + y2 O A f Əx…

A: f(x,y)=1x2+y2f(x,y)=(x2+y2)-12 ∂ ∂x(xn)=nxn-1

Q: Determine the x-intercept of the plane: [x, y, z]= [3, 1, 3]+[1, 1, -1]+[0, 1, 3]

A: Question -   Determine the X intercept of the plane

Q: Use calculus to find the area A of the triangle with the given vertices. (0,0) , (4,3) , (1,8)

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Q: ← aw Əw For the functions w = xy + yz + xz, x= 2u+ 3v, y = 2u - 3v, and z= uv, express and du Əv…

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Q: If   C(t)=71.4te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A: The concentration of drug in a person's system is given by the function:C(t)=71.4e-0.4t

Q: increasing two hours later? mi/h

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Q: [3-R] [CLO 14] Is the following set a function? Briefly justify your answer. M

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Q: Find the time needed in years to make $ 50,000 from $ 30,000 if the simple interest rate available…

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Q: You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular…

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Q: Learning Target DA6: I can set up and use derivatives to solve applied optimization problems. A…

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Q: 1 Evaluate the ・20 @ following Integrals do B I 0 (3+2600)

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: Find the derivative of the function. Simplify you answer. 72³ 3x - 8 y

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Q: 3. Find an equation for the surface obtained by rotating (a) the ellipse x² + 4y² = 4, z = 0, about…

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Q: Sketch the region of integration and change the order of integration. So f f(x, y)dydx

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Q: A company produces a spherical object of radius 21 centimeters. A hole of radius 3 centimeters is…

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Q: The region R is bounded by the curves y = √√x and y and y = x³

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Q: Q. 3 Given z = x²y, x = 2t+s, and y = 1 - st². dz We have to find dt s=1, t=2. We first find dz dt

A: Given data÷ z=x2y ,x=2t+s, y=1-st2 dzdt at s=1,t=2 Here, z=fx,y and x=fs,tand y=fs,t

Q: The range of a cosecant function is (-∞, -9][5,00). The equations of two consecutive asymptotes of…

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Q: Find the dimensions of a rectangle (in m) with area 2,197 m² whose perimeter is as small as…

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Q: Sketch the region that corresponds to the given inequalities. 3x - 2y = 0 x-8y ≤ 0 x = 0, y = 0 O y…

A: The given inequalities are: 3x-2y≥0x-8y≤0x≥0y≥0

Q: An investor has $10,000 available for 3 options: Bonds that yield 10% return; growth stock 15 %,…

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Q: 3. For f(x) = x³ - 5x² - 8x + 4,find the followings.

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Q: 2. Let y = 3x23 a) Find the change in y, Ay when x = 5 and Ax = 0.02. b) Find the differential dy…

A: Given function y = 3x2

Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the…

A: The solution is shown below- As per company guidelines only one question is allowed to answer at…

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by…

A: given  s(t)=-t3+11t2+23t       (0≤t≤6)we know d dt(tn)=ntn-1ddt(constant)=0

Q: Suppose that f(x, y) = z²y. The directional derivative of f(x, y) in the directional (-1,-2) and at…

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