Find the derivative of the function. h(t)

Q: Find the derivative of the function f(x) = f'(x) = sin x 1 + cos x 2

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Q: 8)In the following questions, determine the behavior of h(x)=7x3+6x−x3+10x.

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 1100 0.005x2 - 0.01y2,…

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Q: Find nontrivial functions f(x) and g(x) such that f(g(x)) a. f(x) = b. g(x) = = - 4 x+6

A: Given function:- fgx=-4x+6

Q: Find ST (x + y) dydx. 5 4

A: To evaluate the iterated integral.

Q: g(x)=0.3x-1+2 Find the vertical and horizontal asymptotes, if any.

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Q: Using the mathematical expression of the definition of the derivative, as you learned find the…

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Q: Let f(x)= 2 sqrt(-x) +4 Find domain of f

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Q: nd the arc length along a circle of radius 14 units subtended by an angle of 160°. Round your answer…

A: Given query is to find the arc length.

Q: If log5 (log₂ (log3 x)) = 0 then x equals O (A) 0 O (B) 9 O (C) 5 O (D) none of the other answers is…

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Q: Given the function f(x) = -x^6 - x^2 + 10x + 6, find the equation of the tangent line at the point…

A: See this solution in below.

Q: Sketch a graph of a function that is negative on(0,2), increasing on [2,4], and has x-intercepts at…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Answer the following Questions: 1. Evaluate the integral using partial fractions method: S 3x²-4x+7…

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Q: An open-top box is to be made from a 18-inch by 30-inch piece of plastic by removing a square from…

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Q: Consider the following. f(x, y, z) = x²yz - xyz5, P(3, -1, 1), (a) Find the gradient of f. Vf(x, y,…

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Q: If f(x)= f'(x) = f'(4) = = 3 tan x X " then

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Q: Σ n=1 2n + 5 n 5η

A: Given series ∑n=1∞2n+55n

Q: xdy +y=xy dx 3

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Q: Suppose that the radius r and volume V = πr3 of a sphere are differentiable functions of t. Write an…

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Q: 2. Solve the following integral S (secx - tan x) secx dx O a. tanx + secx + C O b. secx - tanx + C O…

A: The given integral is (secx-tanx)secx.

Q: c. What was the mean change your answer using bar notation. 13 - 4.93. 50 6.) a. Describe two ways…

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Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

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Q: For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum…

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Q: Remember when answering True/False questions that you should only answer "True" if the statement is…

A: A non-empty subset W  of a vector space V(F) is a subspace of V if and only if au+bv ∈ W for a,b…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: 34. Which function of the following is NOT continuous at x = 3 ? f(x) = X - 3 x2 + 5 f(x) = x - 3…

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Q: A country's postal service will accept a package if its length plus its girth (the distance all the…

A: Let x be the a side of the square base and y be the length of the package.

Q: Provide a cheat sheet for Trig Identities. Example: sin(2x) = 2sin(x)cos(x)

A: The objective is to Provide a cheat sheet for Trig Identities. Example: sin(2x) = 2sin(x)cos(x)

Q: An island is 6 mi from the nearest point on a straight shoreline; that point is 12 mi from a power…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Consider the following. f(x, y) = x/y, P(4, 1), (a) Find the gradient of f. Of(x, y) = 73°F Mostly…

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Q: 1 The graph of y = 2x²(x + 1) and y= X (x > 0) intersect at one point, x = r, as shown to the right.…

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Q: 4. Find an equation of tangent line at the point (-1, 1) to the curve x¹y² + 1 = x² + y³. 5. The…

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Q: year- 2000,2005,2010,2014,2019 tuition-$1242,$1809,$2680,$3356,$5132 what is the equation for the…

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Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

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Q: Use the steps to curve sketching to graph the following functions 3.) f(x)=x²-12x+36

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Q: CATIA UMNO. (Hint on this problem: Use arrow diagrams for ideas.) a) Find a specific example of a…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: A polynomial function is given. Q(x) = -x²(x² - 4) (a) Describe the end behavior of the polynomial…

A: NOTE: Refresh your page if you can't see any equations. .

Q: This is incorrcet. The graph is correct but p(x) and the minimum is incorrect

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Q: 4. Find the linear approximation to g(x) = √√x at x = 2. Use the linear approximation to approximate…

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Q: 60. Show that the curve y = 1 + x 1+x² has three points of inflection and they all lie on one…

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Q: 3. Evaluate the following integral COS X | sinx+cosx sin x + cos x O a. In\sinx + cosx| + C O b.…

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Q: On the moon the acceleration due to gravity is 1.4 m/s2. A ball is thrown straight up at an initial…

A: we need to find out the differential equation.

Q: A landowner has 1200 ft of fencing material with which to enclose a rectangular space immediately…

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Q: The function f(x) has a domain of (-∞, -1) u (-1, ∞) and a second derivative given by the following.…

A: Topic = Functions

Q: Then determine the x-coordinates of all relative maxima (minima). 1.  F is increasing on the…

A: Given: fx=4x+8x To find: Intervals on which function is increasing or decreasing, point of relative…

Q: K Find the payment made by the ordinary annuity with the given present value. $76,492; monthly…

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Q: Use concepts learned in this module to complete this problem set: particle motion, applications…

A: Solve for the limit

Q: Given f(x) = x (x + 6), answer the following using calculus: a) The interval(s) of increase: b) The…

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Q: An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the…

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Q: x² e2x dx find u, v and then find the answer. S ومح

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