If f(x) = 5x² +7x+7 √x then:

Q: The path of a diver is modeled by f(x) = − 4 x² + 24x + 9 + 13 where f(x) is the height (in feet)…

A: Given,

Q: The unit cost, in dollars, to produce bins of cat food is $12 and the fixed cost is $23546. The…

A: Given that the unit cost, in dollars to produce bins of cat food is  and fixed cost..The price…

Q: Evaluate the integral. S dx 2 √36x² - 49 O A. x= tan 0 7 6 7 B. X-sin 0 6 " Which substitution…

A:

Q: Question 3.13) (see boxed comment above) Is the following function differentiable at x =2? [x² if…

A: The function is differentiable at x=2 if,

Q: Find the derivative of the following function using the Fundamental Theorem of Calculus. F'(x) =…

A: To find the derivative of the following function by using the Fundamental Theorem of Calculus.

Q: Use the Fundamental Theorem of Calculus to find the derivative of y = dz= √x -2 cos t t12 dt COS VX…

A:

Q: Find a general solution to the differential equation using the method of variation of parameters.…

A: The given differential equation is; y''+25y=5csc25t.

Q: Let P be the plane containing the point (-11, -2, 1) which is parallel to the plane z + 3y + 4z= -3…

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Q: Find dy. y = cos (17x²) dy=dx

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Q: If the instantaneous rate of change of g(x) at (−1, −3) is 1/2, write the equation of the line…

A: The instantaneous rate of change of a function f(x) at a point (x,y) is the slope of the tangent…

Q: Solve the given differential equation. All solutions should be found. =e¹x + 7y dy dx NOTE: Use c…

A: To solve the following differential equation.

Q: Evaluate the integral. cos y dy S= sin y + 3 siny - 10 cos y dy S 2 sin y + 3 siny - 10 (Type an…

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Q: 2√ab y y² = 4ax b X

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Q: for the second question, could u plz explain in detail why the upper and lower bound change in this…

A: Explain the Doubt.

Q: 1. Solve the equation between 0 and 2, 3 sin²(x) + sin(x) = 1 − 3 sin²(x)

A: We are given the trigonometric equation and need to solve it.

Q: Use spherical coordinates to find the volume of the smaller wedge cut from a sphere of radius 9 by…

A: To findThe volume of the smaller wedge cut from a sphere of radius 9 by two planes that intersect…

Q: ) Define the domain and range of f(x) where f(x) = sin²(x) – 1

A: The function f(x)=sin^2(x)−1 is defined for all real numbers x because the sine function, sin(x), is…

Q: Use partial fractions to find the inverse Laplace transform of the following function. s²-5s s4…

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Q: Find points. tangent line is horizontal f(x)=4x^2-2x+3

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Q: Evaluate the definite integral. 3 6³|| ti + t²j| dt

A: To evaluate the following integral.

Q: A solid ball is thrown straight upward from the ground y0 = 0 feet with initial velocity v0 =…

A: A solid ball is thrown straight upward from the ground y0 = 0 feet with initial velocity v0 =…

Q: B. Given the function defined by f(x)= continuous at: i. x=1 ii. x=3 (3x-2 5x-1 2 2x-3 x23 1<x<3,…

A:

Q: (7 dy dx X = 0 = y - xy³² y = 21/12/2 -2x Answer: G = 17

A: We use the Bernoulli differential equation concept to solve given differential equation.

Q: Find the critical numbers of the function. g(t) = t√13-t, t < 12

A: To find the critical numbers of the following function.

Q: Consider the function f(x) = 2x³ + 3x² + z-4 Find the average rate of change of this function on the…

A:

Q: y = (x + 2)² What are the transformations in B. show at least 5 pts, including the vertex. relative…

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Q: Determine the derivative of the following function: ƒ(x) = ln(x² + 1)

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Q: Find the volume of the solid generated when the region in the first quadrant enclosed between the…

A: Region is bounded by y=x and y=x2rotating the region about line x=3

Q: (It cosx) y when X = sin x (sinx + sin x cos x - y) ¹|2 y = e 2

A: The given differential equation is

Q: dy' dx (6.) (i + cos x ) = X = 0 y = 1 sinx (sinx tsinxcosx -y) Answer: C=1/12/2

A:

Q: Let g(x, y) = { 2² 3x if x #y if x = y (i) Show that lim (x,y) (0,0) g(x, y) = 0. (ii) Determine all…

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Q: The position function of a spaceship is r(t) = (6 + t)i + (4 + In(t))j + (9 4 2²² +1 k and the…

A: In the question we have to calculate the time when the engine should be turned off.

Q: For questions 3.11 to 3.14, you must use the definition of the derivative as a limit. Either use the…

A: The equation of a line passing through the point and slope m is

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F'(x) = F [NOTE: Enter a…

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Q: Let f(x) 2x + 1 - 4x 1 Then f'(x) Write the equation of the tangent line to f(x) at x = 1: = X

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Q: dy Find if y= dt 1 2 u+u and u = 9+ 5t.

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Q: Find the global maximum and minimum of f if there is • f(x, y) = y,2x² + y² = 4

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

Q: Let f(x) = 3 cos x ƒ'(x) = 7π 6 - 8 tan x

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Q: Find a vector orthogonal to both ⟨1,−4,0⟩ and to ⟨0,−4,2⟩ of the form ⟨1,_____ ,_____ ⟩ 9. Let…

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Q: Sketch a graph of f(x) = -(x-2)²-3 by using a sequence of transformations of a well-know make sure…

A: To sketch a graph of  by using a sequence of transformations of a well-known function.

Q: Show that f(x) = x² + 12x +41 -2 -x² 12x - 31 ifa >-6 2 if x < -6 if x = -6 has a removable…

A: The given function,The aim is to prove the function has a removable discontinuous at  and redefine…

Q: Use cylindrical coordinates to find the volume of the solid bounded by the graphs of z = 41 - x² –…

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Q: Given s(t) = 3t² + 6t, where s(t) is in feet and t is in seconds, find each of the following. a)…

A: Given s(t) = 3t²+6t, where s(t) is in feet and t is in seconds, find each of the following. a)…

Q: Find and simplify(f(x)g(x)) = f"(x)g(x) + 2f'(x)g'(x) + f(x)g"(x) Of"'(x)g(x) + f(x)g"(x) Of"(x)g(x)…

A:

Q: Find the first and second derivatives of f(x). Simplify your answer using positive fractional…

A: The given function is

Q: expand when heated and contract when cooled. The dimensions of a piece of laboratory equipment are…

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Q: y=6x+9/x^3 find dy/dx at x=1

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Q: Graphs of the velocity functions of two particles are shown, where t is measured in se (a) V 1 When…

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Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: In this question, we will find critical point , Increasing or decreasing interval and Relative…

Q: Determine whether the equation is exact. If it is, then solve it. 2e¹ (3y - 4t)dt + (7 + 6e¹) dy = 0…

A: The given differential equation is 2et(3y-4t) dt+(7+6et)dy=0