Find the rate of change of the area of a circle with respects to its diameter when the radius is 6/2 or 3 ft.

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: 5. f3-* dx 6. S √ √√9-t² 7. S- 1-e²t dt dt

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Q: Write the Parametric Equations of a Space Curve Find the vector equation that represents the curve…

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Q: Write the equation: Vertical asymptote at x = −1, double zero at x = 2, y-intercept at (0, 2)

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Q: Given a first-order differential equation: /1 + x² dy-ydx = 0 a) What is the best solution method in…

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Q: The graphs of the function F (left, in blue) and G (right, in red) are below. Let P(x)=F(x)G(x) and…

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Q: Solve (ysinx + xycosx)dx + (xsinx + 1)dy = 0 Select one: O a xysinx+y=c O b. xsinx + y = cy O c.…

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Q: Find the interval(s) on which f(x) = |x² - 9| is differentiable. Enter your answer using interval…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: 4) Find the equation of the tangent line to the function f(x) = 3 at x = 1. Round the slope to one…

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Q: Consider the surface x² + y² - 2xy - x + 3y - z = 0 at the point Po(2, -3, 14). Determine the…

A: Concept: The equation of the tangent line at point x1,y1,z1 a(x-x1)+b(y-y1)+c(z-z1)=0 The symmetric…

Q: Evaluate the double integral. J log (6) 4y 5x5 +1 D = {(x, y) | 0 ≤ x ≤ 1,0 ≤ y ≤ x²} dA, D=

A: NOTE: Refresh your page if you can't see any equations. . limit of x and y are

Q: Icc cos(x) + sin(x) dx

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Q: The position of a free-falling object is given by s(t) = -4.9t² + vot + so where s(t) is measured in…

A: Note : As per our Guidelines , we can solve first three subparts .Please repost remaining subparts .

Q: Question 8 A graph displaying the relationship between the value of a stock and time is shown below.…

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Q: Given the points A: (3, — 2, 2) and B: (5, 2, 6), find the vector u = AB

A: The points are given by A3, -2, 2B5, 2, 6 To evaluate: The vector u→ = AB→.

Q: In Exercises 13-16, find and sketch the level curves f(x, y) = c on the same set of coordinate axes…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Fill in the first 3 levels of Richardson extrapolation to estimate the derivative of sin(x) at x =…

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Q: are

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Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in.…

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Q: Find all solutions of the equation in the interval [0, 21). √3 csc0-2=0 Write your answer in radians…

A: Topic = Trigonometry

Q: Perform the following operations on the vectors μ = (3,-2), 7 = (0, −5), and w = (-4,-2). ü.w=…

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

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Q: what is the derivative of the inner function?

A: We have to tell the derivative of inner function

Q: Find the values of v such that g'(v) = 0. (Enter your answers as a comma-separated list. If an…

A: Given function  g(v) = v3 - 48v + 8

Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a…

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Q: Let r(t)= (212-t,t³ +1²-5t), -2≤t≤ 2. (a) Sketch the curve which is generated by r(t). You may use…

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Q: Draw the angle 180° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5+ 4+ 3+ 2+ H -1 -2+ -3+…

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Q: Find three positive numbers whose product is 86 such that the sum of their squares is as small as…

A: Let the three numbers be x, y and z. x + y + z = 86 -----(1) ⇒ z = 86 - x - y ------(2) Product, P =…

Q: If the point P is on the graph of a function f, find the corresponding point on the graph of the…

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Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 5 y = 12 where x is the…

A: Given: As nothing is mentioned, we will be answering graphically.

Q: The volume of a cube with sides of length s is given by V = s³. Find the rate of change of the…

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Q: Differentiate the function. g'(t) = g(t) = In t(t² + 1)8 3 4t 1 -

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Q: 4. 5 сos(x-3) dx

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Q: h) R = 3qe 9

A: Given data:- The given expression is, R = 3qe-q

Q: Given: y = 5 (cosh log )², find y' (cosh² O g = =|sinh 2 log = ]5 sh®log }} O 5 O ý =−}(m& )[sinh 2…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Let f(x) = 5x + 4 and g(x) = 1 x² 12x + 32 — • You must combine all like terms before you submit…

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Q: Problem 4. Find the area bounded by the curves y = e, y = e³x and the line x = 1.

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Q: dT At a certain moment, the temperature in a snake cage satisfies = 0.008 °C/s. Estimate the rise in…

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Q: 1. A watermelon is spherical in shape and its diameter (not including the rind) is 20 cm. The r is…

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Q: Consider following ODES: 1)4y" +12y' +13y=0,2 a) Find characteristic equation ar

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Q: Find the area of the region bounded by the curves y = xe -0.4x Area = x = 5, and y = 0. >

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Q: Use the tangent plane to approximate a function of two variables at a point. Use a tangent plane at…

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Q: (b) Illustrate part (a) by graphing the curve and the tangent line on a common screen. (Graph the…

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Q: Given the demand function D(p)=√√375 - 4p, How many products will be sold if the price is $2? Find…

A: Let's find elasticity Function and elasticity at price $2.

Q: Use the reciprocal identities for the following problem. If tan 0 m, with (m ‡ 0); find cot 0. cot 0…

A: Here we have to find the value of trignometric function.

Q: Assume that we know that f(x) is a one-to-one function. a. If f(-6) = 7 then f-¹(7) - -6 b. If…

A: Given:- fx is one-one  function⇒y=fxso f-1y=x

Q: A hamster "runs in place" on a circular treadmill, causing the treadmill to rotate at constant…

A: Number of revolutions in 4 seconds = 1 Diameter = 4 inches

Q: Find the general solution to the given equation 2y" + y − 3y = 0

A: The objective of the question is evaluate the given differential equations.