Establish the identity 2 2 cos - sin 0 2, 1 - tan 0 2 = cos 0.

Q: Find the average rate of change of the function over the given interval. f(t) = 6t² - 5, [1, 1.1]…

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Q: 11. 12. 13. 14. 15. 16. 17. 18. For items 11-25 consider g(x) as defined below. I. lim g(x) does not…

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Q: For each of the following, write one integral or a sum of integrals that equal the given expression.…

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Q: (27) Suppose that f is a continuous function on [-a, aj. If f is even on [-a.a] then fa f(x) dx = ●…

A: Topic = Integration

Q: Find d y/dx Select the correct answer. 07 01 07 07 sint cost Int + 1 sint cost Int + t sint cost Int…

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Q: Use integration by parts to evaluate. Approximate using 3-decimal places. √1²25 7x² In (4x) 3 dx u=…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

A: By using the general solution and the initial conditions we can find the particular solution of the…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: b) dr cos² #√5 + tanz c) ₁ dt (3-5t)²

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Q: 5) Consider the vector function r = (9 — 2t, 4 + 2t, √√2t²) a. Find the length of the path on 0≤t≤1.…

A: Given,

Q: Use integration by parts to solve. Simplify final answer and write in factored form. 2 (x)ln(cos(x))…

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Q: could re write the solution again please

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Q: Evaluate ff sin(9x² + 4y²) dA, over the region in the first quadrant by the ellipse 9x² + 4y² = 1.

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. [(5y +…

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Q: Compute the Jacobian for the substitutions = psin o cos 0, y = p sin osin 6, z = p cos p.

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Q: Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and…

A: Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

Q: The world's population in 1980 was about 4.5 billion. Suppose the population increased at a rate of…

A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x² +…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: 4. Consider the following information collected from 100 people: number of people in that age range…

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Q: (D² + D2)y=e-²x + 3e²x

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Q: 3 :) Scos ³ (Zw) sins (zu) du 2

A: To find out the given integration.

Q: Write the sum as a product: sin(16.76) + sin(12.96) = > Next Question

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Q: Find an equation of the tangent plane to the surface at the given point. x² + y² 7z² = 138, (-8, -9,…

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Q: rs are moving towards an intersection. One car is 160 meters north of the intersection an s the…

A: Please refer to the image below

Q: For the triangle below, find the indicated trigonometric ratio exactly. csc 0 2 29 5 2

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Q: @/sketch the graph f(x) = -2 log 1) find the. a. Complete the graph sketch and following. Make sure…

A: We have to sketch the graph and state the transformations.

Q: Find the derivative of the transcendental function. h(x) = - 14 sec x X h'(x) = -5x2-14 secx-tanx

A: We need to find the derivative of the given transcendental function.               hx=5x-14secx

Q: Estimate the area under the graph of f(x)=1/x+3 over the interval [-1,2] using ten approximating…

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Q: Determine any planes that are parallel or identical. (Select all that apply.) P.: -120x + 30y + 90z…

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Q: A ball of radius 16 has a round hole of radius 5 drilled through its center. Find the volume of the…

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Q: 1. [D³ – 6D² + 11 D - 6) y = cos x sin x

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Q: If a reflection is performed on the graph of y y = 3+1 and the equation x-1, the reflection was…

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Q: [xp(x)ƒ ƒ + xp((x)ƒ−),ƒ] – xp(x)ƒ‚ƒ (ª

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Q: 4) Find √3x + 5dx

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Find the slope of the tangent line to the curve x² + 3xy + 3y³ = − 101 at the point (4, -3).

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² - 4x=0 O A. r cos²0=4 sin…

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Q: 23. Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0,…

A: The given equations of the lines are: 7x+24y-70=0  ..........(1)21x-20y-70=0…

Q: Assume that the functions ?,?,ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c,…

A: given: ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c, h′(c)=d, f(a)=e, g(e)=ℓ,…

Q: a) Find the derivative of each of the following functions. Write the derivative in proper form,…

A: The given functions, i) fx=5x2e3x+5ii) fx=ln x7x+23iii) gx=2x3-9x-2+7x5

Q: Find the curvature of the curve r(t) =

A: This question can be solved by applying the formula for curvature.

Q: Consider the function below. x² - 6xy² + y³ = 5 (a) Differentiate with respect to x (y is a function…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: 3. Find an equation of the tangent plane to the surface z = 2xy + 4y xy-2x at the point (1,1,-6)

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Q: 5. Suppose that growth g as a function of time t can be modeled by 21 g (t) Determine the time t at…

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Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

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Q: Summarize the Fundamental Theorem of Calculus (FTC), Part II using your own words

A: We  have to write the meaning of fundamental theorem of calculus.

Q: Use a triple integral to find the volume of the given solid. boilisoqa oda buat amoldong guiwa (89)…

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Q: 2)  Solve the differential equation by using integrating factors. (x + 3)y' = 8x + y y(x) =

A: (x+3)y'=8x+y y'=8x/(x+3)+y/(x+3) y'-y/(x+3)=8x/(x+3) linear differential equation dy/dx+Py=Q…