Derivatives of trigonometric functions Find the derivative. 1. y = 3sin x +3 cos x - tan x

Q: %3D What is the slope of the function y = 3x² + 5x – 7 at (-1,-

A: Given query is to find the slope of the function.

Q: 2. Solve the given the equation using the integrating factors found by inspection. [2х + усos(ху)jdx…

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Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. ρ=mass per unit…

Q: Find the limit. lim V+3

A: Given query is to find the value of the limit.

Q: EVAUATE FL) OF TRE DIFF ERENTIAL EQUATION AT zEto NITI AL CONDITONE. oit

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Q: 5 If csc² A = ;, what is the value of 1- cos? A? 2 5 5 2 2 Option 1 O Option 2 2 2 D Option 3 O…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The…

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Q: Consider the function  f(x)=4/x^2−3/x^5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: 'ind the exact length of the curve x = t sint y = t cos t or 0<t< 1. ou may use the following result…

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Q: Sie cos e sin 20 de t/3 T/6

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

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Q: a) Find the degree 3 Taylor polynomial T3 (2) for the function f(x) = 4 cos(r) centered at the point…

A: The function f(x)=4cos(x) centered at the point a=π4

Q: (5) Find the local maximum and minimum values of f(r) = 1+3x2 – 2.r using either the First…

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Q: Fove that y = ln|| is a solution to 1+e-22 - xey-x² . Use the initial values x = 0 and y = 0.

A: Given query is to find the solution of the differential equation.

Q: Find the absolute extrema of the function. h(x) = ex2 − 9 on [−3, 3] absolute maximum value: ___ at…

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Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

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

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Q: onsider the following planes. -4x + y + z = 4 12x – 3y + 4z = 16 a) Find the angle between the two…

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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: Find the equation of the vertical aymptote of the function: f(x)= (x2 -3x-10) / (x2-11x+30)

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: topic - application of derivatives

Q: y-2+1 dy

A: ∫y-2+1dyLet u=y-2.=∫u+1duLet v=u+1=∫v· 2v-1dv=2·∫vv-1dv=2·∫ v32-vdv=2∫…

Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: For orthogonal trajectory we replace dy/dy by -dx/dy

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

A: We need to find minimum distance.

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

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Q: Let the region R be the area enclosed the function f (x) = x2 + 1, the horizontal line y = 6, and…

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Q: 40- 4v-v dv

A: ∫xn dx =xn+1n+1+C ∫cos(ax) dx =1a sin(ax)+C

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

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Q: Consider the function y = 4ex + 7. What is the exact value of C in the interval [0, 5] such that…

A: We need to find value of C.

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

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Q: 4v-16v²dv

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Q: T/6 Evaluate 12(cos* 0 – sin* 0)d0

A: In order to solve this we need to split the terms accordingly.

Q: a2f_ If f(x, y) = xe?y + 6xy, then is given by: dydx O 2xe?y + 6 None of these e2y + 6 2 xe?y + 6 2…

A: We have to find the derivative

Q: A rancher wants to fence in a rectangular area of 18000 square feet in a field and then divide the…

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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: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 + 2.

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Q: Five equations are written below. Fill in the missing expression for each equation - - a" In a. (*)'…

A: The given are missing with derivative formulas, we have to find it.

Q: Find the gradient of the function at the given point. w = x tan(y + z), (9, 5, -1) Vw(9, 5, -1) =

A: Explained below

Q: dy Find and simplify whenever possible. dx secx+tanx 1. y sec x-tan х

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Q: nsider the following. u = (-9, -3, -7), v = (-4, –5, –1) (a) Find the projection of u onto v. 58 42…

A: Given : u=&lt;-9,-3,-7&gt; and v=&lt;-4,-5,-1&gt;.

Q: Solve for t. log 6 t= 2

A: Given query is to find the value of t.

Q: If one side of a square is 5 meters in length, what is the length (in meters) of one diagonal? * 5/2…

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Q: Find the gradient of the function at the given point. In(x2 - у) - 3, (2, э) Vz(2, 3) = %3D

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Q: Consider the function y = 3(square root of x) + 8. What is the value of C in the interval [4, 9]…

A: First we will find fave

Q: Using Integration by parts, evaluate: ſ xVx + 1dx Your answer

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question…

Q: Given than | f(x) dæ = 4 and f (x) da 8, which of the 3 following is NOT TRUE?

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Q: Find the limit. lim Vr+3

A: Question 1,Given,            limx→6x+3

Q: 1. How tall is Gio than Trixie? 2. How short is Ana than Leigh? 3. If Janela stood on a box that is…

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Q: Evaluate ſV7– x²dx

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