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Q: For f(x)= x + 4 and g(x) = 2 x + 6, find (gf) (x). o O 2x²+14x+24 O 2x²+10 O 2x² +14x+10 O 2x² +24

A: Let x=a and f(x)=y and z=g(y) Then, z=g(y) = g(f(x)) Now, for x=a, z=g(f(a)). Actually, here (gf)(x)…

Q: The following set of ordered pairs is a function and is one-to-one. {(1, 1), (1, -1), (2, 2), (2,…

A: Please see the below answer.

Q: exact value

A: Here we have to find the partial difference.

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limi lim(2 sin(2t) ln(2t))…

A:

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim 3x³+11x² 6x³-3…

A: The limit is given by limx→∞3x3+11x26x3-3. The limit is of the form ∞∞. Thus, apply the L'Hopital's…

Q: Use the following graph of f'(x) to find the following: A. On what intervals is f increasing and…

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Q: The graph of a function y = f(x) is shown. At which points are the following true? A. When dy/dx…

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Q: Which of the following functions 1 A. f(x): B. f(x) = r on [0, 1], C. f(x) = ¹/3 on [-1, 1], satisfy…

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Q: (ST 14.3 EXERCISES 1. The temperature T (in °C) at a location in the Northern Hemi- sphere depends…

A: a) The partial derivative ∂T∂x, represents the rate of change of temperature with respect to change…

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A: J=limx→-π2cos(x+π)sin(x+π2)by using L'hopitals rule J=limx→-π2∂ ∂x(cos(x+π))∂ ∂x(sin(x+π2))

Q: Find fax, fxy and fy for the function f(x, y) = 3x³ + 3xy² + 2x³y² + 3y² Select one:

A:

Q: Let F= r²i+ (2xy + x) j+zk. Let C be the circle x² + y² = 1 and S the disk a² + y² ≤ 1 within the…

A: (4) Given that , F=x2i+2xy+xj+zk

Q: Evaluate (if possible) the vector-valued function at each given value of t. r(t) = t²i – (t − 1)j

A:

Q: Find the critical numbers of f(x) = x4(x-1)3 A. What does the second derivative test tell you about…

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

Q: Watching a Helicopter Take Off At a distance of 53 ft from the pad, a man observes a helicopter…

A: Let point P denotes pad and point H denotes heliport.As per the data given in the question the…

Q: Find f(a), f(a+h), and the difference quotient f(a+h) – f(a), where h ± 0. h f(x) = 3x² + 7 f(a)…

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Q: 2²-4 lim 2-2 x + 2

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Q: Find the absolute minimum value of f(x) = 4+2 cos²(x) on [-, π]. 1. abs minimum value = 7 2. abs…

A:

Q: It was discovered that after t years a certain population of wild animals will increase at a rate of…

A: given  p'(t)=48-3t13∫xndx=xn+1n+1+c

Q: The following graph is the graph of a rational function. O True O False

A: First write the function of the give graph then check whether it is ratio of two polynomial or not.

Q: wait so for b) the given point is 1?

A: The answer is in step2.

Q: 3. [re¹ di Jess 5. 7. e sin 4x dx e cos x dx

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If 8000 dollars is invested in a bank account at an interest rate of 9 percent per year, Find the…

A:

Q: The following functions are inverses of each other. f(x) = 5x-9 and g(x) = * +5 о True о False

A: Given query is ture false.

Q: Assume that f(x) and g(x) are differentiable for all x. Let h(x) = xf(x), find h'(x). h'(x) = help…

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Q: State the domain for the radical function 0 -5 O (-5,00) O (5,00) O (-00, 5] O [-5,00) 5 0 -5 -10l 5

A: Given query is to find the domain of the function.

Q: Graph the following function using transformation techniques. p(x) = 1/2x²

A:

Q: S F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F…

A: Given that: F(x, y, z)=-x i-y j+z3 kS:  z=x2+y2 ;         z=1  and  z=4

Q: A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the…

A:

Q: For the function ​f(x)=x−2/x−3​,find f′′′​(x), the third derivative of​ f and f^(4) (x), and, the…

A: Given query is to find second, third and fourth derivative.

Q: Figure 5-19 CELL Supply B Quantity Price Supply A Quantity Price Quantity Refer to Figure 5-19.…

A:

Q: Given the continuous graph of f'(x), find the following:  A. On what interval is f decreasing and…

A: as per company guidelines we solve only first three subpart when multiplie part question being…

Q: Write an example of each of the following (assuming it is in 3-dimensional space). A point…

A: let a point on 3D is (x,y,z)(1) on y-axis, x and z is zero

Q: Find the curvature of the curve r(t) = (-2t, 3t5, −5+³) at the point t = 1. Give your answer to 2…

A:

Q: tan (0) Rewrite the expression csc(0)sec(0) in terms of one trigonometric function.

A: le H=tan(θ)csc(θ)sec(θ)we know  tanθ=sinθcosθcscθ=1sinθsecθ=1cosθ

Q: 3. Consider the function where x = (1-y)-¹. (a) z = x² – ³x + √/1₁ + 1³₁ V Find the partial…

A: Given z = x2 - e5xy + y1-t + t3x = ( 1 - y )-1

Q: The domain and range of the square root function below is: Domain: [1, 0o) and Range: (-00,-1]. K о…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) +² - 36 dx

A: We need to evaluate the following.

Q: Consider the surface f(x,y,z)=e-3-4y-142-1=0, which may be regarded as a level surface of the…

A: Given surface is w=f(x,y,z)=e-3x-4y-14z-1 and the point P(2,2,-1)

Q: Evaluate the following integral without using tables. √√ 0 dv (1+√²)(2+ cot 1v)

A:

Q: A street light is at the top of a 16 foot tall pole. A 6 foot tall woman walks away from the pole…

A: Draw a diagram using the given information A 6 foot tall woman walks away from the pole with a…

Q: Find the volume V of the solid E enclosed by z = 4 - y², z = 9 - x, x = 0, and z = 0. (Give an exact…

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Q: Find the limit (if it exists) limt (8t i + costj+ sint k)

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Q: A third-order homogeneous linear equation and three linearly independent solutions are given below.…

A: Write the particular solution and use initial value to find the unknown.

Q: II. For each function below find the critical points, the values at all critical points and…

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Q: Find the integral R 12 cos(0) dA, where 0 ≤ r ≤ 3,0 ≤ 0 ≤ 1/2. (Express numbers in exact form. Use…

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Q: Find fx and fy for f(x, y) = (1 - 2x + y)ex+2y Select one: a. None of these b. fx = c. fx (2 + x -…

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Q: A bank features a savings account that has an annual percentage rate of r = 3.6 % with interest…

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Q: 749 11 12 13 14

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Q: 28. 239Pu 24,100 0.4 g

A: