O 7/1 - OO M8 7/43

Q: Find F(x), the general antiderivative of f(x), where f(x) = F(x) = √1

A: we need to find out the antiderivative of the given function.

Q: 8-68 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: NOTE: Refresh your page if you can't see any equations. . substitute the direct limit and check…

Q: Suppose that in 1644​, a man bought a diamond for ​$35. Suppose that the man had instead put the…

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Q: the of Sketch the graph of the ellipse defined by each following equations Transform the equation to…

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Q: Find all possible functions with the given derivative. y' = - 1 y=0 7 2 X

A: See this solution in below.

Q: • Make sure your final answer is written as a single logarithm. a. 7 log(x) - 4 log(y) + 3 log(z)…

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Q: Use implicit differentiation to find dy dx for the curve given by x²y + xy² = 6x.

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Q: Verify the statement by showing that the derivative of the right side is equal to the integrand on…

A: Given; The integration of [1-1/ 3sqrt(x2)] is equal to x - 3 3sqrt(x) +C.

Q: Consider the following. y = x2 y = √7+x

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Q: Find the magnitude of the torque exerted by F on the bolt at P if |PQ| = 4 in. and |F| = 30 lb. ...…

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Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: Note:- as you required only answer not complete work so, as i am solved in this manner.

Q: Find the average value of the function over the given interval. (Round your answer to four decimal…

A: Note:- 'Since you have asked multiple questions,  we will solve the first question question for you.…

Q: Find the area of the triangle whose vertices are given below. A(0,0) B(-2,5) C(5,3) The area of…

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Q: Determine whether the function's vertex is a maximum point or a minimum point and find the…

A: Given Equation:- y=x-18x2

Q: Given the velocity v = ds and the initial position of a body moving along a coordinate line, find…

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Q: 39. f(x) = x²/3 - 3

A: The second derivative test is not applicable here

Q: A 36-meter line is used to tether a helium- filled ballon. Beause of a breeze, the line makes an…

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Q: If a car gets 17 kilometers per liter of gasoline, how many miles per gallon of gasoline would it…

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Q: m/Q = 84° and m/U = 96°. Angles Q and U are complementary. supplementary. neither complementary nor…

A: We have given two angles  Angle Q=840 Angle U=960 Sum of angles is given as  Q+U=840+960=1800 If sum…

Q: If θ=5π/4, then find exact values for the following: sec(θ) equals=    csc(θ) equals=…

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Q: 3. If an object moves along a coordinate line from the origin x=0 with an initial velocity v₁ = 0…

A: Velocity at time t=v(t)= ∫a(t)dt, a(t) is the acceleration at any time t  Position at time…

Q: Find the value of the derivative. dy dx dy dx Ix= -4 4 if y=4-5x²2 = (Simplify your answer.) ***

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: Consider the following. l (a) Perform the integration in two ways: once using the Simple Power Rule…

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Q: Find the area of the parallelogram whose vertices are given below. A(-3,2) B(2,0) C(8,3) D(3,5)

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Q: Find the effective rate corresponding to the given nominal rate. (Round your answers to three…

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Q: What are the future value and the interest earned if $2800 is invested for 5 years at 8% compounded…

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Q: If a rock is dropped from a height of 220 ft, its poistion t seconds after it is dropped until it…

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Q: The function f(x) = 2x³ - 33x² + 144x -2 has two critical numbers. The smaller one is x = and the…

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Q: g(t) = 1 + (2 + t)e¯t Area Find the area

A: Here we have given a function:g(t)=1+(2+t)e-t. Now plotting the graph of the given function we get.

Q: 2) Given the following: f(2)= 5, f(5)= 7, f'(2) = a, and f'(5) = b a) What is f-1(5)?

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Q: A manufacturer can produce 2970 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: Answer the following questions for the function f(x)=x√x² +36 defined on the interval -5 ≤ x ≤ 6.…

A: The function is given as , fx=xx2+36 on -5≤x≤6

Q: The amount of​ carbon-14 present in animal bones t years after the​ animal's death is given by…

A: Given The amount of​ carbon-14 present in animal bones t years after the​ animal's death is given by…

Q: 3 Consider the function ƒ(x) = 5x³ + 4zº – 10z³ An antiderivative of f(z) is F(x) = Aï” + Bx™ + Cr²…

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Q: (a) Define the following hyperbolic functions directly in terms of the exponential function (i)…

A: To find:- Hyperbolic functions in terms of exponential function

Q: What lump sum do parents need to deposit in an account earning 5%, compounded monthly, so that it…

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Q: A drug response curve describes the level of medication in the bloodstream after a drug is…

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Q: Sketch the situation if necessary and use related rates to solve for the quantity. Two airplanes are…

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Q: Find the general antiderivative for the function: f'' (x) = x6 - 4x4 + x + 1  *please use…

A: Given:- f'' (x) = x6 - 4x4 + x + 1

Q: tan 0 = √2

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Q: Consider the function f(x) = 2 - 5x² on the interval [-6, 3]. Find the average or mean slope of the

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: 45. Evaluate. 141005 S₁√I+X² =dx = ?

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Q: The function f(x) = − 2x³ + 27x² − 48x + 3 has one local minimum and one local maximum. This…

A: The give function is fx=-2x3+27x2-48x+3. We have to find the local minimum and maximum values.

Q: Find the critical numbers of the function f(x) = − x5 − 5x¹ + 5x³ + 8 and classify them using a…

A: Here we have given a function: f(x)=-x5-5x4+5x3+8. Now plotting the graph of the given function we…

Q: Find the unknown angle measure. to X = 59 Drawing is not to scale. 55

A: Given query is to find the measure of indicated angle.

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: Evaluate the limit, if it exist 4x a. b. lim x → 0* lim x → (-∞) √√x sinh x In √x

A: (a) limx→0+e4xx

Q: Can the Mean value theorem be applied ? What is the value of C?

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Q: Consider the following equations. f(x) = √x + 2 g(x) = x + 2 Sketch the region bounded by the graphs…

A: To sketch the area bounded by regions and find the area