dy dx 4x + 3y + 15 2x+y+7

Q: t If the velocity of a moving object is v(t) =——- 2/2 in meters per second, then what is its…

A: We know that velocity vt = dsdt, here s is the velocity.

Q: In2 fin² coshx dx

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Q: Consider the following statements 1- The function f defined by f(x) = x³ is decreasing in R 2- If a…

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Q: Use symbolic notation and fractions where needed.) a= b = C = d =

A: Topic:- calculus

Q: When an object is dropped, the distance it falls in t seconds, assuming that air resistance is…

A: Given

Q: 8/11 Correct While walking in the country, you count 36 heads and 110 feet in a field of horses and…

A: We can find the answer as below

Q: ISR interval. interval. I is negligible set ? 7 = [-1,1] HW-1

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Q: Is the function given by g(x)= x+6 continuous over the interval (-4,4)? Why or why not? Select the…

A: Given :g(x)=1x+6   (-4, 4)

Q: D in one polar plane, plet the following points a.) (4, π/3) bi) (-3, - STT) d.) (21-77) 4 e) (-1.5,…

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Q: The equation N (t) 500 models the number of people in a town who have heard a rumor 1-49e 0.7t after…

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Q: Direction: Use substitution rule to evaluate the following integrals. COS X 1. S dx 2x 1+x² 3. f- dx…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = -x² + 3x - 6…

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Q: cos²x sinx dy + (y cos³x − 2)dx = 0

A: Given problem:- cos2(x) sin(x) dy+(ycos3(x) -2) dx=0

Q: x Let a and b be positive real constants, and let y = f(x) such that tan ay statements is TRUE? O dy…

A:

Q: 1. The value of (1.000) 27 is O 327 O 0.327 O 1.000 O Non of them

A: Any finite power of 1 gives you 1.

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: solution:-f(x)=6x3-11x2+1f'(x)=ddx6x3-11x2+1=18x2-22xf''(x)=d2dx26x3-11x2+1=36x-22

Q: Differentiate the function. y = (2x-5)³ (5-x4) 4 dy dx

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Q: x² +1 11. Find +3x+1 -dx

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Q: Find the critical points of f(x) = x³ - 21x² + 144x and use the Second Derivative Test (if possible)…

A: The given function fx=x3-21x2+144x

Q: S 0 Question 8 A lighthouse L is located on a small island 2 km from the nearest point A on a long…

A:

Q: A linear function is given. g(x) = -9x + 5 (a) Find the average rate of change of the function…

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Q: use the Root converges. is b. [ n = 1 Please Test to determine Just leave con clusive. whether as it…

A:

Q: t = 3 ds ml

A: Solution of the problem as follows

Q: What are intervals of concavity of the function f(x) = 2x³ 2x³ - 6x² - 3 ? Concave upward on (-1,…

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Q: In x + C Verify that every member of the family of functions y = x Answer the following questions.…

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Q: Finding Surface Areas 1- Find the lateral surface area of the cone generated by revolving the line…

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

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 3 2x - 8x

A: see below the answer and calculation

Q: Using Simpson's method off, no spaces) Blank 1 0.66 √√x dx for n= 4 is equal to 0.66 (use 2 decimal…

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4x1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-1+4fxn-1+fxn…

Q: 1 y dy Sza 3 (a²-y²)²

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Q: 8) Maximize the function f(x, y) = 16-r² - y² subject to the constraint x + y = 6

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Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

A: let the height of tank be "h"Volume is given by VdVdt=0.1 cu. ft/hrh=2 ftV= 10 cu. ftdhdt=?

Q: Differentiate the function. 71 y=(9-x) 0 dy | dx

A: We can solve this as follows:

Q: 3 1 L ₁₂x²²49dx +9 -3 RE

A: We have to find value of given Integral.

Q: 3. Apply the three conditions of continuity to determine if the function f(x) = 2x²+5x+2 x²-x-12 is…

A:

Q: Suppose that f(x) = 2x²ln(x), x > 0. (A) List all the critical values of f(x). Note: If there are no…

A:

Q: 8. Evaluate 2 (9x² - 10x + 6)dx

A:

Q: Find the 2nd and 3rd derivative of the function y'= 3x^2y^2 with respect to dy/dx

A: Find the 2nd and 3rd derivative of the function y'=3x2y2with respect to x

Q: Find the area of the region above the x-axis bounded by the function y = 4x - x2 – 3

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x² + 4x +7 S™x -dx…

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Q: For the function below, graph f and f'. Then estimate points at which the tangent line to f is…

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Q: 10- 7-12√ 3 √√9 А. 3 B. V3 О А о B О с D 11 С. 1 D-I

A: We have to find the value of given expression.   According to our guidelines we can solve only one…

Q: 1. Use the Chain Rule to find 1. y = u² + 1 dy dx (show your complete solution) . u = x² - 1

A: dydx=4x3-4x

Q: I Find A of The Matrix A: 229232 1274252 23kg ① 11 221 312 미시 2097 175 1225 1pisuall O 3

A:

Q: 2 Let f(x) = 5x4 -/+8√x-3. a) Find f'(x). (b) Find an equation for the tangent line to the graph of…

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Q: A ladder 25 ft long rests against a vertical wall. If the bottom of the ladder is sliding away at a…

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Q: 9. Find the area between (bounded) by the Curves y=x² +10x and y= 2x + 9°

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Q: Find parametric equations for the sphere centered at the origin and with radius 8. Use the…

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Q: f sech³x tanhx dx

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Q: 1–2 = For each of the following functions given by power series, find f'(x) and f f(x) dx. Do not…

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Q: 2x lim x-0 x²+5x

A: The given limit,      limx→02xx2+5x