Write the logarithm as a sum or difference of logarithms. Simplify e In 7 2 y + 3 4 e

Q: Find the general solution to the differential equation. dy dt = y cos(7t + 2) y =

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Q: 1. f(x)= x²(2x+3) (x²+1)*

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Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

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Q: K Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

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Q: The graph of the function f is shown below. Which statement best describes the value of f'(-1)?…

A: Please see the below picture for detailed solution.

Q: Use Stokes’ Theorem to evaluate the line integral  ∮  F·d r where F = 〈x^2−z^2, y, 2xz〉, and C is…

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Q: Find the general solution to the differential equation. x2y' = (x + 5)y y =   PLEASE SHOW STEP BY…

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Q: Work Problem 3 a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y)…

A: This is a problem related to maxima and minima. Please follow the procedure given below. As per…

Q: Find the solution of the initial value problem y" + 2y' + 5y = 8e¯t cos(2t), y(0) = 10, y'(0) = 0.…

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Q: Find the general solution to the differential equation. dy dt = y cos(7t + 2) y =     PLEASE SHOW…

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Q: Find the solution to the initial-value problem. dy dx = y3xex2, y(0) = 1 y =   PLEASE SHOW STEP BY…

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Q: . Use separation of variables to solve the differential equation explicitly for u. du dt = 4 + 4u +…

A: topic:- differential equation

Q: If you are given the rate of change of a function f, and an interval, what is the total change over…

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Q: The gradient vector of the function f(x, y, z) = ln(yz) + x² is: Select one: ○ (2x,-1,-1/2) (2x₂ O…

A: This question is related to gradient of Function, we will solve it using given information.

Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

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

Q: 4. Match each of the following differential equations with a solution from the list below. A. y =…

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Q: Suppose that the position of a particle is given by s = f(t) = 2t³ + 3t + 9. (a) Find the velocity…

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Q: Tutorial Exercise Find lim Ax-0 f(x + Ax) = f(x) Ax f(x) = 3x²-3x Step 1 Find f(x + Ax) by…

A: We will find the required limit.

Q: Problem 3.3 Find the equation of the tangent line and normal line to the curve at the given point.…

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Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

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Q: Graph the rational function f(x) = sketch. and upload a photo of your On your graph, make sure to…

A: Topic = Function

Q: he cone z^2= x^2+ y^2, for z ≥0, cuts the sphere x^2+ y^2+ z^2= 16 along a curve C. That is, C is…

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Q: In each of the following cases calculate the indicated derivatives, justifying all opera- tions. (a)…

A: This is a problem related to antiderivative of the function. Please follow the procedure given…

Q: Use three terms of the expansion for √1 + x to calculate the value of √1.1018.

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Q: Give the interval where y is decreasing y=x²e^x

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Q: If sin = O a) 1/ Ob) _42 4√2 Oc) 4√2 Od) - O e) _4V/2 9 - 4√2 and is in quadrant IV, find sin (20).…

A: sinθ = -1/3  and θ is in 4th quadrant it means cosθ also negrative    sin2θ = 2sinθ*cosθ    sin2θ=…

Q: dy 8. = dx 1 x+y+1

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Q: Find the following for the given equation. r(t) = (e-t, 2t², 8 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: If sin a = 0.857 and cos 3 = 0.591 with both angles' terminal rays in Quadrant-I, find the…

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Q: Find the limit (If it exists). (If an answer does not exist, enter DNE.) Im 2 X-3+x+3

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Q: and sin B = 25 match each expression in Column 1 with its exact value in Column 2. Given sin A = =…

A: Given,           sinA=35 and sinB=725 where A is in quadrant II and B is in quadrant I

Q: Find the average rate of change of the function f(x) = x² - 2x + 3 between x = -2 and 2 = 4. Type an…

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Q: Given: f(x) = x³ − 6x² + 9x + 5. Find the ABSOLUTE MINIMUM value of f (x) on [−1,2]. A. -11 B. 7 C.…

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Q: find the derivative of the following using chain rule I need the solution since I got the answer…

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Q: (c) Describe the relationship between the graphs. The graphs of f and fare reflections of each other…

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Q: Evaluate the following limit. Enter the exact answer in fraction form, if necessary. To enter ∞o in…

A: Please refer to the image below

Q: How many critical points the following function has, f(x, y) = x³ + x + xy² - 5? Select one: 0 1 0 3…

A: The objective of the question is determine the critical points of the given function and choose the…

Q: Use implicit differentiation in finding y'. 1. x²³+y³ =18xy 2. x²y + xy² =6

A: We can answer both the question as below.

Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=<8,-6> and  3v=3-1,23v=<-3,6>

Q: The function f(x, y) = -2x² + 4y² - 11 has a local minimum at the point (0, 0). Select one: True…

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Q: Find an equation for the line perpendicular to 2x + 8y = 32 and goes through the point (-7, - 2).…

A: Let's find equation of line.

Q: Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx = |d²y/dx² =…

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Q: Find the composite functions (f g) and (gf). What is the domain of each f(x) = 2/ g(x)=x²-49…

A: We can answer the question as below by filling up the blanks.

Q: Complete the table for a savings account subject to 90 compoundings yearly Amount Number of…

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Q: of a) Sketch the region of integration and evaluate the double integral [.. Work Problem 1 b) Change…

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Q: Solve this distance, rate, time application involving a rational equation: It takes the same amount…

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Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. 2 9 sec²0…

A: Given.

Q: Find all real numbers in the interval [0,2x) that satisfy the equation. 2 9 cos y + 29 cos y + 20 =…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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