Find dy and simplify whenever possible. dx secx+tan x 1. у %3 sec x-tan x - 2. y = e-* cos e¯* – sin e¯x | 3. y = arctan(x – V1 + x²)

Q: Find the maximum value of the function f(x) = x3-9x2 + 15x- 5. Answer.

A: The objective is to find the maximum value of the function.

Q: Determine if the given function is on the given interval Continuous

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Q: |(4csc2x - 3sec2x) dx = -4cotx - 3tanx + C Select one: O True O False

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Q: 10. csc?e cot e1-5 cot 6 de ſ csc

A: Let's find.

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

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Q: Find the value of x for which the value of the function f(x) = x +3x2 - 2 is minimum? %3D Answer:…

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Q: |(1 - 4x4 + x)/x dx = 1/(2x2) + 2x² - x + C Select one: O True O False J(4csc?x -3sec2x) dx = -4cotx…

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Q: x²+1, xs1 f (x) dx if f (x) = 2, raluate x> 1 A) 10 20 B 3 12 8 D 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

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Q: 1-. 5x <35 -2 (х-3) (х+3)* (*+1(5-х) 7-3. 2х - 3 <4 x-1 2.4, 25. -23х -5 - 8<-20

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Q: ds For the following function find the antiderivative s that satisfies the given condition. dt ds =…

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Q: What is the reference angle of O if 0= -137°? A 43° B 47° C 137° D 223°

A: Given query is to find references angle.

Q: What are the domain, range, and period of the function f0) = -3cos(- 20)? Answer in complete…

A: Given problem:- What are the domain, range, and period of the function f(θ)=-3 cos(-2θ)

Q: dy J 1+y+1

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Q: Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

A: Find your answer below

Q: The integral of the given function fan* tan3x dx is Vsecx tan5x tan?x а. 5 + C 3secx tan5x b. tan³x…

A: Given query is to eveluate the integral.

Q: The edge of a cube is changing at the rate of 0.2 cm/sec. How fast is the volume of a cube changing…

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Q: Find the derivative with respect to x if f(x) = e -14x The derivative with respect to x if f(x) =…

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Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose by cutting equal squares out of…

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 20, (1, 4, 5) (b)…

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Q: ds Find the function s(t) satisfying = 4 -9 cos t and s(0) = 7. dt

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Q: For what values of x is the graph of y=xe-4x concave down

A: Given  that y=xe-4xSolution :if d2ydx2&lt;0 then concave down.

Q: PARTA AL FRALT 1ON INTEERALS 2)

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Q: – ydy (у+ 1) — у+1

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Q: dx The integral of the given function S is xVx2-9 a. -Arcsin+ C 3 3 b.- Arctan+ C 3 3 1 с. 3 -…

A: Given query is to find the integral.

Q: 345 cos dx 1-cos24x+sin? 4x

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Q: f (x) = x³ – 23 6x + 1. | e sure to verify the c

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = , (1, 7, 7) 10 z…

A: We have to find equation of tangent plane

Q: 2- -1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 -1 -2 -3 --4 -5 -6 -7- Provide your answer below: lim f(x)…

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Q: (25-у? 5-х SŠ s *²+y²dzdxdy

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Q: Given f(x, y) = 6x?y then the total differential df = %3D 12аy dx + 6x? dy O 2xy dx + x² dy O None…

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Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: The region bounded by the given curves is rotated about the Specified cukis. Sketch the region and…

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Q: a) Find the degree 4 Taylor polynomial T(x) for the function f (x) = 2e" centered at the point a 3.

A: Given that fx=2ex  centered at the point a=3we defined the nth taylor polynomial centered at x=a Tn…

Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

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Q: Find the maximum value of the function f(x) = x³ - 9x² + 15x - 5. Answer: Find the value of x for…

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

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Q: Consider the parametric equations below. x = t? - 5, y = 3 - 4t, -3 sts4 (a) Sketch the curve by…

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Q: 22+88

A: The given data is: 22+88 To find the value of the sum.

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

A: Let's find.

Q: Integrating Factor by Formulas: (4) (4xy + 3y² – x)dx + x(x + 2y)dy = 0 (5) y(x + y + 1)dx + x(x +…

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Q: B.(Straightforward) Solve the separable ODES: (a) dy/dx = y/x². (b) dx + secх dy — 0. (c) x dy/dx =…

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Q: Find Ay and f'(x)Ax for y = f(x) = 6x, x =4, and Ax = 0.06.

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Q: Determine whether each point lies on the line. x = -2 + t, y = 4t, z = 5 + t (a) (0, 8, 7) O Yes No…

A: topic - lines and points

Q: AVERAGE VALUE OF A FUNCTION QUESTIONS A. 3x2+4x-7, [-2, 5]

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the following. x = t, y- In(t) (a) Eliminate the parameter to find a Cartesian equation…

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Q: hFind the gradient of the function at the given point. W = x tan(y + z), (19, 4, –1) Vw(19, 4, –1) =

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Q: How do I find the area of the region in the first quandrant bounded by the line y=4x, the line x=4,…

A: Here we have to find the area of the region in the first quadrant bounded by the line y=4x, the line…

Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.