5. Determine the difference quotient" (where h‡0) f(x+h) = f(x) .h for f(x) = x² + 4

Q: Find the local maximum of the function f(x), which is given in the graph below. As an ordered pair…

A: Find the local maximum of the function f(x), which is given in the graph below. As an ordered pair…

Q: Differentiate. f(x) = In f'(x) = : 100

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Q: Differentiate. F(x)= F'(x) = e3x 9

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Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x5 e-x (a) Find the…

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Q: -7-6-5-4-3-2-1 1 2 3 4 5 6 7 Draw the graph of y = f(2x+4) -3 by adjusting the vertex and width with…

A: given graph of function f(x)

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Q: 0 1 1 3 X g(x) g'(x) 2 33 2 3 25 -2 3 2 0 50 4 -1 0 -3 4 Enter your answer as a whole number (like 6…

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Q: In Exercises 1-16, use the Law of Sines to solve each triangle, if possible. Round each answer to…

A: By using the Law of Sines  to solvethe following triangle.v

Q: Find the outward flux of the field F= 8xyi + 8yzj + 8xzk across the surface of the cube cut from the…

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Q: Differentiate. f(x)= x³ In 7x 3 f'(x) =

A: Product Formula for differentiation is given as follows

Q: Find the derivative of the function. dx y=3e4x²-3 II ...

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Q: Let f(x) = (6-x-x² 2x - 9 Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: If then the domain D of the function f is given by the set Select one: ○ {(x,y)|y² > x, ○ {(x,y) y²…

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Q: Evaluate the indefinite integral. Answer = +C St tan¹ (2x) dx

A: Let,  A=.

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

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Q: Use the factor theorem to determine if the given binomial is a factor of f(x). f(x)=x²-2x³ +5x²…

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Q: Solve the initial value problem. dy Ꮎ +y=8 cos 0,0 >0, y(t) = 1 de

A: The given differential equation is

Q: Sketch the region bounded by the graphs of the functions and find the area of the region. f(z)=xe-*,…

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Q: e²t-e-2t Let h(t) = Find the e²t+e-2t horizontal asymptote(s) of h(t) if they exist. If h(t) has no…

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Q: An office machine is purchased for $5300. Assume that its salvage value, V, in dollars, depreciates,…

A: given function

Q: Find equations of the tangents to the curve x = 6t² + 4, y = 4t³ + 4 that pass through the point…

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Q: Write the domain of the function f. 6 f(x) = 12x³ + X

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Q: Consider the function f(x) = x¹ — 32x² +6, −3≤ x ≤ 9. This function has an absolute minimum value…

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Q: Use a graphing calculator or computer to verify the given linear approximation at a = 0. Then…

A: The given function is

Q: Consider g(t) = 3t+ 6t² - 1 + 6t³+2+¹ Determine the intervals on which g is concave down. g is…

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Q: Find a formula for the nth term of the sequence in terms of n. 3 2 2² 2² 2³ 24 an = 1 " 20 25 30 35…

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Q: In 2004, an art collector paid $168,274,000 for a particular painting. The same painting sold for…

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Q: The following limit lim Select one: O None of them 8x³y³ (z,y) →(1,2) 2x - y O equals 12. O equals…

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 3 + 3x² + 2y², the planes x = 2…

A: Equation of elliptic parabolid z=3+3x2+2y2Equation of planes x=2 and y=4

Q: ind the following limits. -2x³ - 6 x→∞ −5x² - 7x - 8 a. lim -2x³ - 6 x→→∞ −5x² – 7x - 8 b. lim ||

A: Here we will find limit of the given functions, we will find it on putting the x= infinity and -…

Q: Let f(x) = 2e * +5 1+e=x The graph of is given below. Use the graph of f to determine the given…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A: Given equation is : x=-8Concept : To convert an equation into polar form, we substitute x = r cos…

Q: Solve the differential equation dy (y¹⁰x) dx Use the initial condition y(1) = 5. Express y¹¹ in…

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Q: 1. Match the rule or formula's name with its characteristics by putting the lowercase letter on the…

A: Consider the following

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Q: Find the derivative of the function. y=x8 ex dx

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Q: Let f(v) = v +17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: Given,

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Q: Compute the differential dz of the function. = x ¹⁰y5

A: To compute the differential  of the following function.

Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

A: The following table shows the daily receipts in millions of dollars of the move "The Hunger Games"…

Q: Given g(x)= x² +2 , find all asymptotes of the graph; then draw the graph, showing asymptotes as…

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Q: Differentiate d dx y = 11x4 + 3 - (1₁x² + 3) =

A: As we know that

Q: p(x) = a + ax + a,x² + ... + 10x?

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Q: Ift B 9 ft 7.

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Q: Write the expression without absolute value symbols. (Simplify your answer completely.) |n² - 101…

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Q: Find the local linear approximation of f(x) = NITK at to=3 to approximate $3.9 and 1 use it (a) f(x)…

A: f(x)=

Q: Solve the equation and check your solution. 6x 15 = 9x + 22 X =

A:

Q: Q8 Find the set of intervals for the following functions (a) f (x) > 0 (b) f(x) = 0 (a) f(x) < 0 (b)…

A: we are given graphs of wo functions and we are to find on what intervals are those functions…

Q: Consider the curve defined parametrically by x(t) = cos(2t) and y(t) = 2 sint for values of t such…

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Q: Sketch the curve. r = 7+ 6 cos(0)

A: r=7+6cos⁡(θ)