(e) [ 4z. 4x · cos(2-3x)da

Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 160° (x,y) =…

A: Given that , Radius of circle r=20 angle θ=160° find the coordinates of a point.

Q: N Given the series an, let SN=an be its Nth partial sum. Suppose that n=1 n=1 SN=8- A) Find a3. 5 N²…

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Q: The indicated function y(x) is a solution of the given differential equation. xy"+y=0; y₁=In(x) Use…

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Q: D) 4 {= 2 + ln n [Select]

A: Use limit concept

Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (x²+x-14) = 6…

A: To prove  limx→-5x2+x-14=6 , we need to prove that    for any ε>0     ∃  δ>0  such that…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The objective of the question is evaluate the directional derivative at the given point and…

Q: (i) Find all first and second order partial derivatives of f(x, y) = x²y + cos(xy) (ii) Find lim xy²…

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Q: 12. Determine the radius and interval of convergence of 8 k=1 (-1)kk²(x-4) k 3k

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Q: 3. Using multiple linear regression, estimate the values of a, b and c in the given regression…

A: given that        X            1            2              3            4          Y…

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

A: Note:- Range of the function f = Domain of inverse of the function f From the given graph :- Vertex…

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Solve the differential equation. dr t In(t)r + r = 9tet

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Q: This answer is w

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Q: 9 In order to evaluate the following integral 1 -√2/cos-¹(√x) dx 1 =- we first use the substitution…

A: Given: I=-∫12xcos-1(x)dx

Q: Find the general solution of the differential equation. · 11y(4) + 29y"”" — 11y″ + 28y' = 0. NOTE:…

A: A detailed solution is given below

Q: 3. Determine the intervals of concave upward and downward, points of inflection, critical nu bers,…

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Q: Find y as a function of t if 9y" +12y + 29y = 0,

A: Given :9y''+12y'+29y=0

Q: A company wants to start a new clothing line. The cost to se up production is 35, 000 dollars and…

A: The solution is given below

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = P(4, 5), v =…

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Q: If f(x) = etan-¹(x²-3) then f'(x) at x = 2 is equal to

A: SOLUTION-

Q: The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.04…

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Q: Find the solution of the given initial value problem: y (4) + 2y" + y = 9t + 4; y(0) = y′(0) = 0,…

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Q: Integrate using partial fractions o 5x² (x²+3)(x²-4) Si dx

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Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

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Q: Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the…

A: Using ÷ cscx=1sinx   1sin2x-8=0 1sin2x=8 sin2x=18 Now taking inverse and finding values of x we get…

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ..)…

A: topic - sequence and series

Q: Write an expression in factored form for the polynomial of least poss 5+ 3 W 1 2 3 4 5 -2+ -3 -5 -4…

A: We have to write the polynomial in factor form from the given graph of polynomial

Q: The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.04…

A: We need to find out the possible error in the volume and also in the surface area and also the…

Q: Find the equation of the tangent line 7 to the graph of f at the given point. Use this linear…

A: The solution is given below

Q: Given the function g(x) = 8x³ + 12x² − 288x, find the first derivative, g'(x). g'(x)= Notice that…

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Q: For f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously.…

A: Given f(x, y) = 5x3 − 14xy + y3 Fomulae: ddx(xn)=nxn-1 and ddx(x)=1 By differentiating it with…

Q: Find the general solution of the differential equation. y(5) — 11y(4) + 29y"″ − 11y" + 28y' = 0.…

A: Let's solve given diffrential equation.

Q: The area of the shaded rectangle in the figure is A = /h. The possible errors in the length and…

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 1 dy = y =

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Q: 8. Assume that f(x) g(x) and table. Use the following table to calculate the following derivative. 2…

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Q: 7 If f(x) = x² + 10x and g(x) = - X find f(x) · g(x).

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Q: For the function f whose graph is given, state the value of the given quantity, if it exists. If it…

A: Here we have to use the concept of limit.

Q: Find the area of the shaded region

A: Given :Function :y=1y=cos2x

Q: You are a corporate attorney who earns $300 for each hour you work. You want a vegan poutine. The…

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Q: Find the total differential. z = 10x4y5 dz = (No Response)

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Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 100° (x,y) =…

A: I have appended the formula used in the solution part of the question

Q: trigonometric substitution 2 X (9-x² -dx

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Q: (b) x-2º dr

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Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: Find the differential dy of the given function. y = √3-x² dy X 3 - x Submit Answer =dx 2

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Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

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Q: 4. -π/4 1 9cos² x-sin²x dx

A: