y = sin z

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Force applied F=20N Natural length=2m COmpression Length=0.5 m Total compression =∆x=l0-l…

Q: PROBLEM 5: Find the general solution to the given differential equation using a method of your…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The Solution of the…

Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

A:

Q: 1+ VT (20) Evaluate the integral: -dx. (01) I 1:6

A:

Q: 4. Solve 5x3 - 3x2 – 32x – 12 = 0

A: We have to solve the equation

Q: 2 + In? x -dx x(1 – In x)2

A:

Q: A power representation of the function f(x) D 1-x for-1 <x < 1 is Select one: ΣΕ 9n9n 9n n=0 O none…

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Q: Зx2 — 2х + 2 x(x² + 1)

A: Given,  ∫ 3x2-2x+2x(x2+1)dx

Q: Let f (x) =: 5 +e'+ tanx+ 12*+Vx. Find f (x). For the toolbar, preco

A: On solving this we will get

Q: Q3/ Optimize the function Z = x + xị ? Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange…

A:

Q: Find the area of the reglon bounded by the graphs of the equations. y = 5x +5, x = 0, x = 2, y = 0

A: Required area is…

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. sin 0 = 5…

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Q: Find the derivative of the function at P, in the direction of u. x- 3y g(x.y) = 2хy +3 Ро(1, - 1),…

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Q: Question Given F(x) below, find F' (x). I o+2) di F(x) = Provide your answer below: F(x) = O…

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Q: A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find sin A, tan…

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a

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Q: how do you solve series and sequence questions? Explain in words.

A: Solution: for sequence and series , 1st you should know about the sequence Because sequence:…

Q: (29) Evaluate the integral: - csc² xdx. 7/4

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Q: For the points P and Q, find the coordinates of the midpoint of the segment PQ. P(-2, - 2), Q(4,2) O…

A: The given two points are P-2,-2 and Q4,2.We need to find the coordinates of the midpoint of the…

Q: 2-the region bounded by y= .the x- axis.x = 2 and x = 3 is revolved about the y-axis find the volume…

A: The region bounded by y=1x, the x-axis, x=2 and x=3 is revolved about y-axis.

Q: [1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the…

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Q: n the appropriate interval of convergence, we know that then we can deduce, by applying the ormula…

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Q: 1 m ... 2 m 4 m The flat surface shown is submerged vertically in water. Find the fluid force…

A: Use formula of fluid force

Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

A: A detailed solution is given below.

Q: How many passwords can be made if each password a sequence of 4 uppercase flowed by a consonant…

A: This is a problem related to permutations and combination. Based on the general formula and concepts…

Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

A: Equation of a plane in point normal form is given as, A(x-a)+ B(y-b)+ C(z-c)=0 Where (A,B,C) is the…

Q: A triangular swimming pool measures 39 feet on one side and 66 feet on another side. These sides…

A: A triangular swimming pool measures 39 feet on one side and 66 feet on another side. These sides…

Q: Find the constant a such that the function Is continuous on the entire real Iine. 7sin x If x <0…

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Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx b) y = -

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Q: Limit of a graph. Please explain.

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Q: the solid obtained by revolving the region bound ed by Find the volume OF about the X - axis the 2…

A: The region bounded by the x-axis, y=x2,x=0,x=2 is:

Q: 3-Find the area of the surface of revolution generated by revolving the curve y=V .1sxs3 about the…

A:

Q: Please

A: We will solve the integration.

Q: When f(x) is divided by (x - 2), the answer is 2x3 - 4x² + 3x + 1 with a remainder of k + 7, and if…

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Q: Find dy/dx by implicit differentiation. Væy = 6+ x?y dy/dx

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Q: (2r+1)dr 5. S r2+2r+1 3r+5

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Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

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Q: Find two positive numbers sattsfying the glven requirements. The sum of the first and twice the…

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Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: 3. By hand, find all the solutions (if any) of the following linear system using the augmented…

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Q: Consider the function f(x) = 6x² — 4а + 10, 0 < х <9. The absolute maximum of f(x) (on the given…

A: Topic:- function

Q: 8. Evaluate * y" – 3y' + 2y = e3t ; y(0) = y'(0) = 0 e2t -e3t + 2 et 23t -e2t + 2et 2 O A. e3t -e2t…

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Q: 2. a“y dx2 dy + 42+ 3y = sin(x) + 2 cos(x) dx

A:

Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Inx 1 13. lim, X X,

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Q: Evaluate: sin 6x sin 3a da A. 0 в. - В. 2 C. - :- С. 2 D.

A: SOLUTION-

Q: Find the general solution of the differentlal equation. (Use C for the constant of Integration.) dy…

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Q: Solve y' = y3 cos x (Show clear work!)

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: g'(θ) at θ = π/3 if g(θ) = θsinθ

A: Given: g(θ) = θsinθ      , θ= π3