-4 +00 24 y 2 -20 -2 4 2 4 ४ c. 1

Q: If a ball is given a push so that it has an initial velocity of 6 m/s down a certain inclined plane,…

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Q: Which of the following could be the slope field for the differential equation B MAZZ ~~X1/17 71XSS…

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Q: Consider the function f(0) = 7sin²0 - 7cos0. (a) Find f'(0) = 7 sin (20) + 7 sin (0) (b) Find the…

A: f(θ)=7sin2(θ)-7cosθ(i)  d dθ(sinθ)=cosθd dθ(cosθ)=-sinθ

Q: Please answer both. #1-The length of a rectangle is increasing at a rate of 6 cm/s and its width is…

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Q: (6x² - 4)² 24x dx

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Q: For the equation of the hyperbola: 4x^2 - y^2 = 16. Find the center, vertices, slope of asymptote’s,…

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Q: Determine the volume of the region bounded by y=x^(2)-2x and y=x that is rotated about y=4

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Q: 6. y =√1+√8x-1 y 1$)+ (x-1) ¹4 y'= 1 + 7. y = [(x-1)(2x³ +1)]¹0 8. y = (4x²-1)³ (5x³ + 2)*

A: 5

Q: Find the unique solution to the differential equation that satisfies the stated conditio dy In(x) dx…

A: given:differential equation dydx=lnxxy,  y1=6

Q: a) Find all of the critical points of x2 - x - 1 b) Find all of the critical points of x3 - 3x - 2

A: We have to find the critical points.

Q: Write an equation of the line containing the given point and parallel to the given line. Express…

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Q: Find the derivate of the functions: 2) F(x) = 5x²₂² f'(x) = f(x) = x²(x³²-₂) f'(x) =

A: Since, the student has mentioned to solve multiple questions with multiple sub-parts. But according…

Q: You are given the circle, x² + y2 = 25.

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Q: For the ellipse equation: 4x^2 + 9y^2 = 36 find the center, vertices, foci and graph it.

A: The given equation of ellipse is:4x2+9y2=36x29+y24=1

Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

Q: determine if the mean value theorem can be applied to the function f (x)=x^2 on the closed interval…

A: we have given function f(x)=x2 which is continuous on the interval [3,9]. differentiation of this…

Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

A: We have given that height of the ball after t seconds is s=-2.7t2+30t+6.5

Q: Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the…

A: The given demand function is: g=408-0.3p

Q: The price-demand equation for hamburgers at a fast food restaurant is given by the equation below.…

A: The solution is shown below-

Q: 1. Find the average value of the function over the given interval and all values of x in the given…

A: The solution is shown below-

Q: If a ball is given a push so that it has an initial velocity of 7 m/s down a certain inclined plane,…

A: We have to slove above question

Q: 1. Find the equation of the line: a. With a slope of-through the point (6,4) b. Through the points…

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Q: The figure shows a lamina that is shaded according to the given density function: darker shading…

A: I have appended the formula used in the solution part of the question

Q: 2. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) :…

A: We have to use cylindrical coordinates in order to find the volume of thegiven region.

Q: Use graphical addition to sketch the graph of f + g. y y f+g 2 f 2 2 f+g g 4 4 4 6 6 6 8 8 X 2 2 f+g…

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Q: The dosage for a certain type of chemotherapy drug depends on several parameters of the particular…

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Q: Use linear approximation to estimate the value of the following  cos(pi/4 +0.01)

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Q: =f* √7t + 10 dt. The arc length function for a curve y = f(x), where f is an increasing function, is…

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Q: that the cords have been disconnected from the device. "Computer, how do I plug in these cables",…

A: f(x)=ln(3x) f'(x)=313x = 1x f'(c)=1c   it is required Red cord.

Q: Let f(x) = (3x - x²) if 0 ≤ x ≤ 3 and f(x) = 0 if x 3. (a) For what value of k is f a probability…

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Q: A ladder 15 ft long leans against a vertical wall. If the lower end is being moved away from the…

A: It is given that, A 15 ft long ladder leans against the vertical wall. The lower end of the ladder…

Q: 2. When a particle is located a distance x meter from the origin, a force of f(x) = 3x² + 4x…

A: When a particle is located at distance x meter from the origin, a force of  fx=3x2+4x newtons acts…

Q: let y = 3 x² + In x - ex find y' O 6x + (1/x) + ex O 6x - (1/x) - ex O 6x +1 + ex O none of the…

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Q: Use the function below to answer the questions. f(x) = 5x¹/5 - x (a) Find f'(x) = 1 X = 4 x 1 (b)…

A: Given: The function is f(x)=5x15-x   (a). Find the derivative of the given function.…

Q: A company buys a machine for $275,000 that depreciates at a rate of 30% per year. Find a formula for…

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Q: (4) The position function of a ball dropped from a building is given by s(t) = 16t² - 144. (a)…

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Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f, g, and g'…

A: Derivative

Q: 5. Find the points on the graph of f(x) = x³ - 3x where the tangent line has slope 0.

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Q: The concentration C of a chemical in the bloodstream t hours after injection into muscle tissue is…

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Q: Convert the integral to polar coordinates and evaluate it (use t for 8): With a = √4 ²0b=0c and d=…

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Q: Find the derivative

A: Given: h(x)=(x-3)e5x-7x4

Q: Find the critical points for the function f(x,y)=5x^2−10xy+6y^2−4y and classify each as a local…

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Q: Solve the equation for the indicated variable. a +4 b+4; for a b a a X +

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Q: Assume that it costs a company approximately C(x) = 800,000 + 360x + 0.0005x2 dollars to manufacture…

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

Q: Find f'(x) and f"(x). f'(x) = f"(x) = f(x) = (x³ + 6)ex

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Q: Determine if the limit lim (1+5x) 1+0+ exists, and if it does, find its value.

A: Given: limx→0+1+5x12x

Q: After walking through the fifth gate, your computer informs you that more than half of the gates…

A: Given function f( t ) = 1a( 2t3 - 15t2 + 45 )

Q: Find y" by implicit differentiation. Simplify where possible. x² + 7y² = 7 y" = =

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Q: This problem illustrates the Second Derivative Test. Let f(x) = - arctan(x²) + 3 . (a) Find f'(x) =…

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Q: 43. y = (2+x)√2+(2-x)², [0,2]

A: Given function:- y=2+x2+2-x2