Will f(g(x)) = g(f(x)) for every function f(x) and g(x)? Provide both an example and a counterexample if applicable.

Q: Find the present value of the given future amount. $37,000 for 9 months at 5% simple interest

A: For Cash Flow at period 1=C1, rate of return = r and number of periods = n, the Present Value…

Q: 3. Let C be the triangle with vertices (0, 0), (1, 0), and (0, 3) oriented clockwise. Calculate the…

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Q: the trigonometric equati- sin (20) cos(0) = 0

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Q: 3. Let C be the triangle with vertices (0, 0), (1, 0), and (0, 3) oriented clockwise. Calculate the…

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Q: Find the present value of the given future amount. $178,266 for 215 days at 5.9% simple interest.…

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Q: 1. Find the inverse Laplace transform for the following Y(s): Include all steps: S-2 (s²-s-2)

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Q: Write the equation in standard form for an ellipse centered at (h, k). Identify the center and…

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Q: The Normal component of acceleration of a moving object in space at time t is given by a = t and the…

A: Normal component aN=tk(v(t))2=t 19t3(v(t))2=t(v(t))2=9t4(v(t))=3t2

Q: Use spherical coordinates to evaluate f −y² (x² + y² + z²)² dz dy dx

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Q: The consumption rate of electricity, in kW/h has increased, on average, at 7.6% per year. If it…

A: At=P1+rt⇒r=rate of interest ⇒P=initial amount ⇒t=time in years⇒At=Amount at time t

Q: Write sin(4x) - sin(7x) as a product of trigonometric functions. 2 sin()cos (1) - X

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Q: x-4 x-4x²-x-12 Evaluate lim A. Undefined B. 0 C. Infinity D. 177

A: According to guidelines solution of the question first one, you have to repost the other

Q: csct y' (t) = 1, y (³7) = −3

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Q: 7. Find the equation for the plane tangent to the surface x² + 4y² + 9z² = 17 at the point P (2, 1,…

A: Note : As per our Guidelines , we can solve one questions . Please repost remaining questions.

Q: Use the Divergence Theorem to compute the net outward flux of the field F= (-2x, 3y,4z) across the…

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Q: Moment of inertia about z is calculated as * ]]] (x² + y²) p(x, y, z)dV where p is the density…

A: SOLUTION:-   Given,    Moment of inertia bout z is calculated as,   I=∫∫∫(x2+y2)ρ(x, y, z)dVwhere ρ…

Q: decrease for your answer. y=300*x^(3) is greater than y=100*3^(x) when x=4

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Q: Find the definite integral: +1 O to. 10 3 O b. 20 3 dx O c. 19 3 O d. 1.7

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Q: Learning Target IF1: I can correctly differentiate and antidifferentiate exponential functions. 1.…

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Q: Find the radius of convergence, R, of the series. Σ(-1)" (x-3)^ 2n + 1 n = 0 00

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Q: 1. Explain why the linear approximation becomes less accurate as you increase the distance between x…

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Q: Evaluate the following limits 1-e²x)² 7x (a) lim- x-0 1-cosx (b) lim x² In 1 *** 1 9x²

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

Q: Find the absolute maximum and absolute minimum values of f(x, y) = y² — x² over the region S:= {(x,…

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Q: Evaluate. (Be sure to check by differentiating!) S(5+x²) x²³ dx ... S(5+x¹)x³dx= (Type an exact…

A: The given integral ∫5+x46x3dx. We have to find the integral.

Q: Find the area between f(x)=x2−11 and the​ x-axis from x=0 and x=2

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Q: Find the derivative of arc cos 4x.

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Q: (a) Graph the function y = x³ (x-2).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the compound amount and the amount of interest earned by the following deposit. $7,000 at 7.78%…

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Q: r(t) = (10 + 6 cos 9t) i − (2 + 6 sin 9t)j + 2k A) K = 6 B) K 36 C) k = 1 16 D) K = 3 N/W 2

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Q: A piece of cardboard measuring 10 inches by 14 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 10 inches by 14 inches is formed into an open-top box by cutting…

Q: Evaluate: Lim (2-x) tan X-1 A. e2x 2 B. ez C. 0 D.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the amount necessary to fund the given withdrawals. Semiannual withdrawals of $950 for 4 years;…

A: ⇒PV=A1-1+in-ntin ⇒PV=Present value⇒i=rate of interest⇒n=compounded period⇒t=time in years

Q: When a ball is thrown vertically upward on the moon with a velocity of 15 ft/sec its height, y(t),…

A: Given data

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x³ - 6x² -…

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Q: Find the volume generated when the region between the curves is rotated around the given axis.…

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Q: Let h(x) = -4+ex +1.

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Q: Find the domain of the function f(x,y)=arccos(x²+y²–35711).

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Q: Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0, 4]. 8…

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Q: Evaluate the line integral dr by evaluating the surface integral in Stokes' Theorem with an…

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Q: Evaluate the line integral curve C : x = 10 cost, y = 20 sint (0 ≤t≤7) NOTE: Enter the exact answer.…

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Q: For the vector field F = yr³i - y²j, the work on the curve y = √x from (1, 1) to (0,0) is A. B. C.…

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Q: Let A and B be sets. Show that (A × B) ∩ (B × A) = (A ∩ B) × (A ∩ B).

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Q: Which of the following functions could make the graph of: O O -2 -6 -8 f(x) = x + 2x³ - x² - 2x…

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Q: Consider the graph below of the function f(x):  Using the graph, what is the value of fˆ-1(2)

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Q: mortize a 12% loan of $700 compounded quarterly, with 17

A: Given 12% loan of $700 compoundedquarterly with 17 quarterly payment.

Q: 1. Differentiate the following functions a. h(x) = cos² (sinx)

A: As per bartleby guide line we do only first part of multiple questions. given→(a)  h(x)=cos2(sinx)

Q: 38 has 8 pieces of squa Using a pair of scissors, he cuts each piece in half (so the res

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Q: f(x) = x² - 6x² +9x+1 in the closed interval [1, 5]: I. Find the critical numbers of the function.…

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Q: Given y' = yx and y (2) = 1, solve for y. Leave y = off of your answer, and if y can be positive or…

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Q: Please answer in easy way:    Find 5 + 7 + 9 + 11 + · · · + 521 using a technique from this…

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