Form the differential equation:

Q: sin-1 sin sin

A: Inverse trigonometry function: 3. a) sin-1[sin(-3π4)]b) tan(tan-1π)

Q: do we use inflaction point or not ? and is it inflation point are optimal point

A: Asked question : do we use inflaction point or not ?    Yes we use inflection point, it is important...

Q: Comment on the continuity of f(x) at x = -2, x = 0 and x = 3 If discontinuous, what is the type of d...

A: At x=-2, L.H.L.=limx→-2-fx=2R.H.L.=limx→-2+fx=-1f-2=2 Since L.H.L.≠R.H.L., therefore the limit does ...

Q: Evaluate the integral. 3 + 7 cos? e cos? e 1/4 de

A: givenI=∫0π43+7cos2θcos2θdθthis can be simplify asI=∫0π4(3cos2θ+7cos2θcos2θ)dθI=∫0π4(3sec2θ+7)dθ

Q: Use the insert image icon to upload your work or type in the solution using the math icon to answer ...

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Q: Given the graph of the derivative f'(x) shown below, exactly how many inflection points does f(x) ha...

A: The graph of f'(x) is shown in figure. Graph of f'(x) has two points at which the tangent is paralle...

Q: Find the equation of the tangent line to the graph of f(x)=x^2cos(x) at x=0

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Q: Cost of Producing Guitars Carlota Music Company estimates that the marginal cost of manufacturing it...

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Q: A couple who borrow $80,000 for 15 years at 6%, compounded monthly, must make monthly payments of $6...

A: Solution:- Monthly payment=$675.09 rate r=6% compounded annually ⇒R=612%=612×100=0.005   (compounded...

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the la...

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Q: #22) Use the given information to sketch the graph of f. assume that f is continuous on its domain a...

A: Given:Domain: All real x, except x=-1 and x=1;f-2=1, f0=0, f2=1;f'x>0 on -∞,-1 and 0,1;f'x<0 o...

Q: a) Find the matrix A of the linear transformation T from R2 to R2 that rotates any vector through an...

A: Given a linear transformation T:ℝ2→ℝ2 an angle of rotation is 45°

Q: Use the given values to find the values(if possible) of all six trigonometric functions. tan x=7/24,...

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Q: Use the ratio test to study the convergence of the following series

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Q: Given the function g(x) = 6z + 63z + 180z, find the first derivative, g´(x). %3D (z),6 Notice that g...

A: To Determine: find the first and 2nd derivative also find local maximum and local minimum  Given: we...

Q: Please help me!! Logarithm problem!

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Q: Determine the radius of convergence and the interval of convergence for each power series.

A: Since, we have given power series ∑nnn=1∞xn-(i)Our aim is to find the radius of convergence and inte...

Q: please help with the following questions

A: Solution:- table for the g(x) is  8) function f(x)=x2+3x differentiate with respect to x f'(x)=ddx(x...

Q: What is the correct answer

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Q: Compute the derivative of g(x) = cos(t²) dt. O 42 sin(z*) O cos(x*) -42 sin(z*) O 4a cos(a) O - sin(...

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Q: Evaluate the integral. 7 3+r dr

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Q: Find the prime factorization of a number 23256. Show Work. Write this factorization in a canonical f...

A: Given number is 23256 To find the prime factorisation of the number. And to write in canonical form....

Q: Calculate the sum of the following geometricseries

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Q: There were 447 tickets purchased for a major league baseball game. The lower box tickets cost $12.50...

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Q: Solve each equation on the interval 0 < 0 < 2n. a. 2 cos? 0 + cos 0 – 1 = 0

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Q: Verify the identity. tan x- tan y sin x cos y - cos x sin y tan x tan y -1 sin x sin y - cos x cos y...

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Q: Match the trigonometric expression given the following a) csc x b) tan x c) sin^2 x d) sin x tan x e...

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Q: Use the derivative f' to determine the local minima and maxima of f and the intervals of increase an...

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Q: Compute the derivative of g(æ) = e dt. 22 -2xe -2xe O -2re

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Q: You have a rectangular piece of cardboard that is 16 inches by 10 inches. You are going to cut squar...

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Q: Aviel invests $3,000 in a high-yield uninsured certificate of deposit that pays 6.5% interest per ye...

A: Amount invested $3000 Interest per year 6.5% compounded quarterly

Q: Use the one-to-one property of logarithms to find an exact solution for In (7) + In (72² – 4) = In (...

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Q: 3rd question

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Q: 3. Let y = Vx and consider the points M = (1, 0), N = (0, 1), O = (0, 0), and P = (x, y) on the grap...

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Q: 8) Solve each equation on the interval 0 < 0 < 2n. b. 2 sin? 0 – 5 sin 0 + 3 = 0

A: we have to find the angle θ of the equation  2sin2θ-5sinθ+3=0 let sinθ=t therefore the above equatio...

Q: how to evaluate the integral

A: final answer is -5.619 detailed solution is given below  

Q: Calculate the area, in square units, bounded by f(x)=3x3−3x2−x+8 and g(x)=2x3−10x2+29x+8 over the in...

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Q: Show that F = (3, 1, 2) is conservative. Then prove more generally that any constant vector field F ...

A: Given: F = (3, 1, 2) To show: F is conservative. Also to show any constant vector field F = (a, b, c...

Q: Setup an integral to find the area inside the graph of r = 2-2sin(theta) and outside the graph of r ...

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Q: Consider the graph of a function f. Identify the correct statements about the graph. O f'(x) > 0 for...

A: As per bartleby expert policy, only one individual question is to be answered. Kindly repost the oth...

Q: Where are there local minimum(s)/maximum(s) f(x)=3(2x-1) -4(x+1)?

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Q: Consider the curve described by the relation y + eV= x* - x² + 1. Find an equation of the tangent li...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.