SOLVE STEP BY STEP IN DIGITAL FORMAT 1. dx 3 x² 1 2. L²+/dx

Q: Find the solution of the differential equation xy' +9y = 48x 5lnx (x > 0) that satisfies the initial…

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Q: Use logarithmic differentiation to find. ○ A) dy = 3 (²)² 2 dx sinx O B) 4 = ()() 3 (senx)² (cost dy…

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Q: t-1 t→∞ t² + 1 (e) lim

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Q: Example 5 Video Example < Differentiate. 5 sin ¹(x) (b) f(x) = x arctan(√x) (a) y = Solution (b) 68…

A: Determine the derivative of given functions

Q: Complete the table of function values. Do not use a calculator or tables. Evaluate the six…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [7,…

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Q: (Text Suppose y = f(x) graphed in the figure below represents the cost of manufacturing x kilograms…

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Q: dy dr -5-

A: As per the guidelines,  I can only answer one question and the rest of the questions will be…

Q: Find f'(a). f(t) = Since f(t) Step 1 To find f'(a), we will use the formula f(t) - f(a) t-a 7t + 15…

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Q: Consider the differential equation y"+3y'-40y = 0. The characteristic equation is The solution(s) to…

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Q: A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end…

A: The given function is  and the interval is .The current situation can represents as shown below.

Q: Determine, with justification, whether the following series converges 372 11. Σ=1 n!2n+1

A: Given series The ratio test (i) if L&gt;1 then series divergent (ii) if L=1 the result inconclusive…

Q: Find x, y, z, t such that 6 x + y [38]-[48]+[24, ***]. =[ :] tu]. -1 2t 4 t 2z+t

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Q: Let f(x, y) = 5e6x sin(4y) of дх of ду = =

A: Given

Q: Estimate the instantaneous rate of change of f(x) = 3x² +5 at the point: x = 1 In other words,…

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Q: Find dy/dx at the given point for the equation. x = y³ - Sy² + 3, (-4,1) = Need Help? Submit Answer…

A: Given,x = y³ - 8y² + 3 and point (-4, 1)

Q: (Section 1.9) Select all equilibria of the DTDS with updating function *t+1 A. x* = 1 B. x* = 1 a C.…

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Q: termine the points in the interval (1, 6) at which the function has discontinuities. For each nt…

A: Check the continuity of graph in the given interval and find if there is any discontinuity and give…

Q: If f(x) = 3x² - 6x + 6, find f'(0). f'(0) = Use this to find the equation of the tangent line to the…

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Q: Solve the differential equation. y"-8y +16y = 0, y(0) = 5, y'(0) = 25

A: We have to solve the differential equation with the given initial condition.

Q: 2. This question concerns the graph of the function x² (2x²-8) x(2x - 5)√4x²+3 y = f(x) = = (a) What…

A: The given functions  is

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

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Q: find the derivative of the following by first expanding or simplifying the expression…

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Q: Find the area of the following regions. The region inside the lemniscate r²2 = 54 cos 20 and outside…

A: In this question, we will find the area of the curve.

Q: On the previous page, we learned how to use the graph of a function to determine where the function…

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Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

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Q: Find the differential of the function f(x, y) = 5x² – 5xy + 6y² at the point (5,8) using Ax = -0.3…

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Q: Parametrize the curve described by the equation y = parametrization to find the length of the curve.…

A: To find the exact length of the curve described by the parametric equations, we will use the formula…

Q: The point  P(9, −3)  lies on the curve  y = 3/(8 − x). (a) If Q is the point (x, 3/(8 − x)), use…

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Q: give answers fore b,c,d

A: (b): (c): (d):

Q: 12 If f(t) = find f'(t). f'(t) =

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Q: Find the derivative of the trigonometric function. y = 6x cos(x) + x sin(x) y' =

A: The given function is

Q: Find the area (in square units) of the region under the graph of the function f on the interval [-1,…

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Q: 5. (a). i • (7F + (; (b). |(i • )i\\; (c). i • ); (d). (i) • . Let i = (1, 2,0), F = (4, 1, —2), and…

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Q: 1.) Given the function in the graph, answer the following questions. g(x) = x³ - 3x g(x) a.) What…

A: We have to find domain, range, monotone intervals, relative extrema and average rate of change for…

Q: Kitty starts riding her tricycle 3 ft from her front door; her distances s from her front door 6. t…

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Q: Problems 14-18, The table below shows function values of g(x) = ax³ + 5x² - 8x + c. Use the equation…

A: We have to find the sign of the leading coefficient in the 14 questionFind value of c in 15…

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

A: Instantaneous rate of change of f(x) at x=a is the slope of the tangent line which can be found by…

Q: (a) lim x→3 a2 _ 5+6 x² - 9 tan(x) x→/3 cos(x) (b) lim (c) lim (e4-3x) 818

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) (b) (c)…

A: The graph of the given function is:

Q: 9. Refer to the graph of g below. ola bax g(n)-157 -5 -10 5 0 5 10 15 (a) Evaluate g(5). (b) Solve…

A: Given: To Find:(a) To evaluate .(b) To solve (c) To write an equation for .Note: Since the student…

Q: Find the derivative of the following  h(t)=t^2/2 +1

A: Given,

Q: 6. Kitty starts riding her tricycle 3 ft from her front door; her distances s from her front door t…

A: The instantaneous velocity is given by the change in velocity in a very small time.

Q: 2. This question concerns the graph of the function x² (2x² - 8) x(2x - 5)√4x²+3 y = f(x) = (a) What…

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Q: A ball is thrown straight down from the top of a 462-foot building with an initial velocity of -16…

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Q: Determine whether each improper integral converges or diverges. If it is convergent find the value

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Q: To help get in shape, Zahra gets a new pair of running shoes. If she runs 1 kilometer each day in…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [-8,…

A: f(x)=7, [-8,1]

Q: Discuss the continuity of the function f(x)= [x², x≤1 1+x, x>1 at x = 1.

A: given function To find: continuity of the function at x=1

Q: Find the centroid of the region bounded by the graphs of the functions y = 3x², y = x² + 1 The…

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