Suppose it is know that the function f(x) = has a maximum value of 2 attained at x = 6. Can you determine the unknowns a and b? a = b | = axebx2 = AY

Q: Find the area of the region bounded by the graphs of the given equations. y=x+12, y=x² The area is…

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Q: Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula…

A: Given: (a) If , then to find .(b) If , then to find

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Q: K Find the area under the graph of f over the interval [3,6]. f(x) = 6x +7, 3 52-2 for x ≤ 5 for x>5…

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Q: Answer the following questions about the sphere whose equation is given by 1. Find the radius of the…

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Q: Onverges, you could use: (pacy ng

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Q: If tan x = -1/3, cos x > 0, then sin 2x = cos2x = tan 2x

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Q: Simplify the expression to a + bi form: (8 + 3i)(4 + 4i)

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Q: Given that t (a) sin(t): (b) sec(t): = tan ¹(3), find the exact value of

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Q: If f and g are functions of time, and at time t = 2, f equals 4 and is rising at a rate of 5 units…

A: The given functions and  at time  equals  and is raising at a rate of   units per second and at time…

Q: Find f'(x). f(x)=(7x+4)(9x-3) f'(x)= (Type an exact answer.)

A: Given, .Rules of derivative:

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A: We have given the graph of a function and A(x) is the area bounded by the graph from t=0 to t=x.…

Q: Let f (x) = x - 1 and g (x) = x² (x + 1). Evaluate Se 3 + dx f(x) g(x) You must show all steps.

A: Integration of e-3x+f(x)/g(x)Where f(x)=x-1,  g(x)=x2(x+1)

Q: Suppose that p(x) = anx" converges on (-1, 1], find the interval of convergence of p(6x - 4) . x= to…

A: If a series P(x) converges on the interval (−1,1], we can determine the interval on which the power…

Q: 2. Find all numbers of b such that the average value of f (x) = -9x² + 10x + 4 on the interval [0,…

A: f(x)=-9x2+10x+4Interval [0,b]Average value = 5

Q: Consider the following Linear Programming Problem: Jason's House of Cheese offers two holiday cheese…

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Q: If sin x = -3/5, in quadrant III, then sin 2x = cos 2x = tan 2x

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. (Enter your…

A: we need to find out the absolute minimum and absolute maximum of the given function in the given…

Q: The yield of marketable corn Y (in kilograms) from a fixed field size varies according to the amount…

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Q: Find the absolute maximum and absolute minimum y-values of f(x) = (x-4)(x - 8)³ + 11 on the given…

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Q: If ƒ(x) = 3x² – 3eª, find:

A: f(x)=3x2−3ex

Q: Ox-2y=0

A: Given that the graph we have to find the equation of tangent line at the point origin

Q: 70. The base of S is the region enclosed by the parabola y = 1-² and the z-axis. Cross-sections…

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Q: 5. a) Draw the graph of a function for which the conclusion of the mean Value Theorem does not hold.…

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Q: Write an equation for the function graphed below y = TT -3 -2 6 9

A: we need to find the equation of the given graph

Q: Find the point at which the line {-1,-3,-5} + t{5,-3,3} intersects the plane 4x-y-z= 104

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Q: Simplify the expression completely. 3 -√−25 + √√1 +4√−512

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Q: Find the inflection points for the function f (x) = 8x - sinx, ≤ x ≤ 7 < O (π, 8π), (2π, 16T + 2) ○…

A: The given function is  ,

Q: Use graph below to calculate the following: (a) f(f(2)) = (b) g(g(2)) = (c) f(g(4)) = (d) g(f(4)) =…

A: A graph of the functions  and  are given.The aim is to find the composite function values  and .

Q: If cos 22.5° = √A + √B, then, by using a half-angle formula, find A B =

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: The expression of the derivative of the function  is given by The point is To determine: The…

Q: Determine whether the degree of the function is even or odd and whether the function itself is even…

A: Determine whether the degree of the function is even or odd and whether the function itself is even…

Q: The function f(x) is graphed below. How many points on the graph represent a relative extreme value?

A: we need to write down the points where the relative maxima or minima occurs.

Q: use the given test to determine the convergence/divergence of the given series.  P series test…

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Q: USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF limit comparison…

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Q: Consider the following. 10 5 *1 -10 5 -10 Find an equation for the hyperbola. Find the foci and…

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Q: Let f(x) = √6-x The slope of the tangent line to the graph of f(x) at the point (2, 2) is The…

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Q: Consider the following function f(x) = 7x ln (6x). Determine the following: (a) The open interval on…

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Q: Let lim g(x) = -1 and lim h(x) = 10 x 4 x→4 Determine the value of the limit lim [8+√xh(x) x→4

A: Let, To determine the value of the following limit.

Q: A man plans to retire in 30 years. While working, he intends to deposit money each month into his…

A: Here we have, FV=1000000 (future value)r=6.75%=0.0675n=12 for the monthly payment.t=30 years

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

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Q: Find the area of the region bounded by the graphs of the given equations. ← y=4x, y=x³, x=0, x=2 The…

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Q: If f and g are functions of time, and at time t = 3, f equals 7 and is rising at a rate of 3 units…

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Q: Evaluate the first partial derivatives of the function at the given point. f(x, y) = 5ex In(y); (0,…

A: Givenfxx

Q: The rate of depreciation dv/dt of a machine is inversely proportional to the square of t + 1, where…

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Q: A closed box is to be constructed so that its base length is three times the base width and is to…

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Q: The sum of two non-negative numbers X and Y is 15. Determine the values of X and Y that minimize the…

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Q: Find the first partial derivatives of the function. || f(x, y) = gy

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Q: 4. Find the limit of the following sequences. You can use any method you choose but make sure to…

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Q: Test the series below for convergence using the Ratio Test. n+ 5 22n+4 n=1 The limit of the ratio…

A: The ratio test: