Give a possible formula for the function below. Let A = (-1, 24) and B = (1, 6). Use the general exponential function. Y X B

Q: Reverse the order of integration for x [ f(x, y) dy dr. That is, write it as an integral of the form…

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Q: how do you evaluate the following integral without dividing it into two parts? ∫(0 to ∞)  ​x−2dx

A: To evaluate the following integral.

Q: Use a change of variables to evaluate the definite integral Enter an exact answer. π/4 sec (7t)…

A: The given integral is .The aim is to calculate this integral value.Formulas used:

Q: The graph of y= f(t)dt, where f is a piecewise constant function, is shown here. (a) Over which…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Question 1.1 Determine the laplace transform for the following function: f(t) = 9t²-7t+1 that is…

A: Consider the given function  We will use the formula

Q: 1.) Find the derivatives of a.) y = 3e²x — 2lnx + arcsec x

A: the given equation is

Q: Find the derivative. ( 시 dx X dx ㅉㅁ X

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Q: Determine the type of representation that a function has when presented in each of the following…

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Q: Question. Which of the following are rational functions? f(x)=0 f(x) = f(x) = e f(x) = 3x+1 x²-4x+5…

A: Some of the functions are given.The aim is to find the function that is a rational function.

Q: 5.) Consider the problem of finding the volume of the solid obtained by revolving about the line x =…

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Q: 23. Let D denote the region of the plane between the circles x² + y² = 1 and a² + y² = 4, and above…

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Q: 35. lim x² - 16 x-4 4 - x

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Q: Using the u-substitution, u = x + 2, identify f such that the integral [TVT [ f(u) x + 2 dx, takes…

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Q: lim h→0 (5+h)²-25- h

A: We are to evaluate the limit

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

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Q: A chair manufacturing company’s daily total costs consists of a fixed cost of $6800 and a unit cost…

A: A chair manufacturing company’s daily total costs consist of a fixed cost of $6800 anda unit cost of…

Q: Make a table of average velocity and the make a conjecture about instantaneous velocity at the…

A: NOTE: Here all angles are in radians.s(t)=40sin⁡(2t)On the interval [0,1] the average velocity is…

Q: P(Vm,T); PVm = RT ӘР JVm / T avm ӘT ӘТ ӘР P Vm = = =

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Q: 5. Compute the values of ƒ(x) = them to determine limƒ(x). x-1 X 1.1 1.01 1.001 1.0001 x+1 = (x −…

A: To compute the values of  in the following table and by using them to determine…

Q: Simplify the expression if ||v|| = 10 and ||w|| = 9. (Give your answer as a whole or exact number.)…

A: (i) commutative law ,    A.B=B.A(ii) Distribution law,  A.(B+D)=A.B+A.Dlet  K=(v+w).v-(v-w).w

Q: 3. Evaluate the limits using limit laws. (Be sure to list the laws being used) a) lim √x-3 t²-4 x 3…

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Q: 2) Find the following indefinite integrals: a) f(5x³ - cos x) dx b) dr c) fe+1 da

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Q: Given vectors , and w in the picture below Draw - using Triangle law -8 -7 -6 -5 -4 w -3 -2 W -1 8 7…

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Q: Write the standard form equation of the parabola with directrix = 4 and vertex at the origin. Enter…

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Q: Estimate the instantaneous rate of change of P(t) = 5t² – 3 at the point t = 3

A: To find the instantaneous rate of change, take the derivative.

Q: The one-to-one functions g and h are defined as follows. g={(−8, −5), (-2, 5), (6, 9), (9, 8)}…

A: We are given that g and h are one to one functionsand are defined as  and

Q: Find the domain and range of the exponential function, f(t) = 12(1.3) t+1. Express your answers in…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) (a) lim f(x) = x+c+…

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Q: The relationship between the tuition, T, and the number of credits, c, at a particular college is…

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Q: a. Use the substitution u = sin x to evaluate the integral I sin sin x cos xda

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Q: Find the coefficients of the partial fractions expansion. 6x4 12x³ + 115x2 - 211x + 284 (x-4) (x² +…

A: Use partial fractions.     ............(1)     ............(2)Substitute A=2   ..............Put it…

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

A: The following table shows the daily receipts in millions of dollars of themovie "Avatar" for…

Q: 2-54. Consider a home you purchase for $600, 000, at a down payment of 15% and at a rate of 4.5%.…

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Q: First make a substitution and then use integration by parts to evaluate the integral [4 4 cos (√x)…

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Q: Find the magnitude and angle (in degrees) of the vector shown above.

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Q: A buoy floating in the ocean is bobbing in simple harmonic motion with amplitude 2 ft and period 6…

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Q: 1. The figure below shows a graph of a function f. At which numbers is f f discontinuous? Why? ya +…

A: The figure below shows a graph of a function . To determine the numbers at which the function is…

Q: 3) Using the Fundamental Theorem of Calculus (FTC), find the exact values of the following definite…

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Q: Let à (0,4) and b = || (3, 1). Find sa

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Q: Give a possible formula for the function below. Let A = (1, 18) and B = (2, 108). Use the general…

A: The exponential function is given by,Substitute the first point (1,18)

Q: Find the derivative of 27e-5t. O-135e5t O 5e-3/5t O 15e-5t O-5e-5/3t e-5/3t

A: The given function is (27e-5t)1/3

Q: Calculate the integral approximation Sg for 1 √₂ 7²1 dx. S8= =

A: Using simpson rule, we can estimate the integral.

Q: Evaluate the following definite integral. Your answer must be exact. S cos(arctan(10t)) 1+ (10t)² 5…

A: The given integral is .The aim is to find the value of the integral.

Q: Compute the following limit or show it does not exist: lim (x,y) →(0,0) xy ex² + y²

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Q: Find the difference quotient for: f(x) = 2x² + 3 Use the formula: f(x+h)-f(x) h

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Q: APHS AN Composition of two functions: Basic Suppose that the functions u and w are defined as…

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Q: Example Chain Rule d dt cost² =

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Q: Find the equation of the horizontal asymptote for y = 10(1 + 4-X).

A: The given function is,Find the limit of the function as which is not finite so there is no…

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

A: To estimate the instantaneous rate of change of daily receipts 14 weeks after the opening day, you…

Q: 7. Evaluate the integral 3x+2 √1-x² dx.

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