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Q: 3. Let f(x) = 3x + 9 and g(x) = √4x². Find the functions listed determine their domain. a. (f -…

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Q: Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), A = {1, 4, 7, 10, 13), B = {1, 2, 3,…

A: topic - sets  we are given  U ={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} A={1,4,7,10,13}…

Q: Given that lim f(x) = 1 X→ 3 find each limit, if it exists. (If an answer does not exist, enter…

A: Given query is to find indicated limits.

Q: What is the general solution of the differential equation below?  dy/dx = y/(x2 + 1)  when y > 0.

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Q: The price per barrel of crude oil in the period 1980-2013, in constant 2014 dollars, can be…

A: Topic- functions and derivatives We are given,Price per barrel of crude oil since t years of the…

Q: 2 2 Find for x² + y dy dx 2 = a³

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Q: A firm produces a good from two raw materials X and Y which can be bought at unit prices of pX and…

A: We need to find x and y.

Q: At which value of y does the relative minimum for the curve y = 3x³ - 3x² - 24x + 10. A. -19.5 B.…

A: Given:      Curve y=3x3-3x2-24x+10 differentiating the equation      f'x=ddx3x3-3x2-24x+10…

Q: Find the polar form for zw, z/w and 1/2 where: z = 2(1 + i), w = 3(1+√√3i)

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Q: Solve for the complete solution of the differential equation: y" + 4y + 5 = 0; y(0) = — 2, y'(0) =…

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Q: A cruise ship maintains a speed of 15 knots (nautical miles per hour) sailing from San Juan to…

A: Concept: Cosine rule: c=a2+b2-2abcosγ Sine rule: sinγc=sinθa

Q: Evaluate e sin(x)dx. (Hint. Use integration by parts twi

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Q: Solve for y' if y = sec55x - tan²5x A. 0 B. 1 If y = x[sin-¹ (sin x)], find y' A. 2x B. -2x C. 5…

A: (1) Given that , y=sec55x-tan25x y'=?

Q: Solve the matrix equation for X. 23) M= ET 14 -[-5²2) N =-12-20] X = MX-N -8 -5 (-14) +2 (-2) = -5…

A: The given matrix is; M= -5 2       , N= -14 14         1  4                -2   -20.

Q: 4. A large container initially contains 50 gallons of salt-water with concentration 0.4 lbs. of salt…

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Q: The rate of change in data entry speed of the average student is ds/dx = 4(x + 9)-1/2, where x is…

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Q: Consider the following function. g(v) = v³ - 27v + 3 Find the derivative of the function. g'(v) =…

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Q: Integrate: 16-y4 y³ - dy

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Q: Classwork. 4: Describe the sequence of transformations from the parent function f(x)=√x. g(x)=-3√x-2…

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Q: Precalculus   Find an equation of the circle with center (2, 5) that passes through (−3, 1).

A: Given query is to find the equation of the circle.

Q: Use Gaussian elimination and Gauss Jordan method to solve the system of linear equation. x - 2y-6z =…

A: The given system of linear equations, x-2y-6z=122x+4y+12z=-17x-4y-12z=22 We have to find the…

Q: Shade a Venn diagram to represent (AUC) nB'. I C IV b Review shading Venn diagrams here. 01 O II III…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Evaluate the limit: lim x-6 x² + x - 30 x + 6

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Q: Using direct integration, evaluate the following convolution: e-atu(t) * u(t)

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Q: 21. f(t) = 4t 10

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Q: 1) Let f(x) Choose the best answer. = sin² (3x4). Derive the derivative f'(x).

A: The explanation of answer as follows

Q: 4.3 Stretching (a) Let f(x) = r². How do the values of f(0) and 2f (0) differ? (b) Let f(x) = 1².…

A: Solution

Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: Find the solution of the IVP: (1 + y cos x) dx - sin x dy = 0, y(1/2) = 1. Then, evaluate y(1.603).

A: This question can be solved using the concept of linear differential equation.

Q: Minimize the function M=3x² + 3y² subject to 2x+y=64 and find the values of x and y at which M is…

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Q: Determine the acute angle, in degree measurement, between the planes 2x+2y-1z = -3 and 5x+3y + 2z =…

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Q: OV 7 The graph of a linear equation, y = f(x) is shown above. Find the interval where f(x) < 1.…

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Q: Evaluate lim A. dne 3x³-4x²+1 A. R x-00-7x³+x2+2 B. 0 C. - 31/12 The domain of y = log(1-2x) is B.…

A: Givenlimx→∞3x5-4x2+1-7x5+x2+2 We have to find the value of the limit of the function And we have to…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) √er (5 + 6e 6e)7/2 dr

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Q: < For y = 174√√x, find dy, given x = 9 and Ax = dx = -0.14. dy = (Simplify your answer.)

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Q: Evaluate the integral. *π/4 [" sin ³(x) dx

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Q: 1. Find the solution of the IVP ty' = y +t³ sin(2t) – t³, y(t) = 3/t¹.

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Q: A virus is spreading across an animal shelter. The percentage of animals infected after t days 100…

A: This question can be solved by the concept of functions.

Q: 73. lim sin 3t t⇒0 2t

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Q: 3) Use the appropriate integral formula for the length of a curve represented by a function y = f(x)…

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Q: Name: 1. Find the value of b for which the given equation is exact. Then solve it using that value…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

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Q: dy Write the function below in the form y=f(u) and u = g(x). Then find as a function of x. dx y = -…

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Q: A. Exact Differential Equations Verify that the following DEs are exact, then find the general…

A: Consider the differential equation               M(x,y) dx +N(x,y) dy =0…

Q: below. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit doe

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Q: 5. If f(x)=x²-3x+2 and g(x)=√√4-3x A) Find fog (-2) = B) Find go f (1) T

A: We can solve it by the help of function of function method.

Q: Evaluate the integral. 6 t² sin(2t) dt

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 6 if B(6) = 0 and B'(6) = -1/2

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Q: Find for x³ + y²x − 3 = 0 - dx

A: To find dy/dx

Q: i) S 3+6x+4x² −2x³ (x4+3x²) ·dx

A: The given integral is (3+6x+4x2-2x3)/(x4+3x2).