Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  5x2 + 4x − 6 2x2 − 3x

Q: Find all critical points for the function m(x) = answer. Answer 5-x x²7x +35 Separate multiple…

A: Please see the below picture for detailed solution.

Q: Find the particular solution to the differential equation (1+x²)(1+ y²) = xyy' given the initial…

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Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: 39. Evaluate L{e²¹ cos 6t} (A) (B) S- -2 s² - 4s + 40 S- - 2 s² - 4s-32 40. Evaluate L-1 (A) cos 712…

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Q: 5. Find the particular solution to the differential equation y√1−x² y' − x√√1—y² = = 0 given the…

A: we will use substitution method to solve this differential equation

Q: the value of the rac condition. Working Example 3: Solve an Equation With T Solve the radical…

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Q: Let 5xyz = e².

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Q: The terminal ray of angle B, drawn in standard position, passes through the point (-4, 3√/5). What…

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Q: 233. y = (tanx+ sin.x)-3

A: Given query is to find derivative.

Q: Find the antiderivative or integral of each of the following SHOW STEP BY STEP SOLUTION sinhe…

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Q: For each of the given functions f(x), find the derivative (ƒ-¹)'(c) at the given point c, first…

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Q: Solve. Thrice a number is 54 less than 5 times the number. Find the number. The number is X

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Q: Find the derivative of the following function. y=107x+4

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Q: Evaluate the integral. *3 x² + x + 1 (x + 1)²(x + 2) dx

A: Here we have to find the definite integral.

Q: Find the velocity, acceleration, and speed of a particle with the given position function.…

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Q: Solve for x. log3 (9) log3(x) = 6 X = (Separate answers by a comma.) If the answer is radical use…

A: Given equation:- log39-log3x=6

Q: A crew working with dynamite to clear a road blasted a large rock straight up into the air with an…

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Q: Find derivative in each of the following problems (1-4) 1. y = sec² 2x 3. y=√√x²-1-sec-¹x 2. y = x²…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 4. If z = = ln(xy) and дz x=rsin 0, y = r cos then show that ae = 2 cot 20.

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Q: Find f[g(x)] and g[f(x)]. f(x)=√x+3, g(x) = 12x² - 7 f[g(x)] = g[f(x)] =

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Q: Find the derivative of the function. dy dx y = log5V5x+ 2 =

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Q: B) f(x)=x-x² [-5,1]

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Q: O Take a standard 8.5 in. by 11 in. page of paper. You're going to cut square corners of equal size…

A: According to question,We have,Dimension of paper : 8.5 in. × 11 in.

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

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Q: Find the principal unit normal vector N for the curve r(t)=(t^2 +4)j + (2t-1)k

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Q: Suppose that the surface area, S, and radius, r, of a sphere are changing with respect to time and…

A: S=4πr2given  dSdt=-5 mm2s

Q: Consider: f(x) = At which x-value(s) do the local maxima/minima occur? (Hint: Because of In x, the…

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Q: 215. y = 6u³, u = 7x - 4

A: Topic = Derivative

Q: What is the equivalent degree angle measure for the radian angle measure? Select all correct…

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Q: Calculate the Taylor polynomials T₂ and T3 centered at x = a for the function f(x) = 11 ln (x + 1),…

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Q: Find the equation of the tangent line to the graph of the given function at the given value of 1/2…

A: f(x)=(x2+3)12=x2+3  equation of tangent line is y=mx+cwhere m is slope

Q: Calculate the arc length r(t)=(4-6t)i+(9+9t)j+(2t-2)k, -10<t<1 answers: A)1331 B)-99 C)121…

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Q: Let f(x) f'(x) = = (2³+2)5 ³+6

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Q: 24 (x - 2)(x² + 4) DIMEWA ENTEMENT dx

A: This is an integral of the form a(x-b)(px2+qx+r)   It can be solved by breaking the integral in…

Q: 11. The graphs off and g are given. Express the function g in the form g(x) = = a (x-h)² + k 17 14-…

A: Given: f(x)=x2 Function g is in the form: g(x) = a(x-h)2+k h is the units by which graph of f(x) is…

Q: e derivative of R(x)

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Q: 5. Given the graph of f(x) shown below, explain why the instantaneous rate of change of the function…

A: The graph of fx is given as ,

Q: Find the derivative. y = 9~x O A.dy dx OB. dy 기 dx OC. dy 경기 경기 dx OD. dy dx =g-x = - gx = In9(9-x)…

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Q: Are the following functions strictly convex, concave or none of the above? Explain your answer. (a)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A corporation has a continuous compounded bank account with 2.4% annual interest. The board of…

A: Given that rate of interest is 2.4%, principal amount of money invested id $84636, time 6 years.

Q: Let f(x) = −3x² + 1 1 X3 + −xª. Find all local and absolute maxima and minima of f.

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Q: Say whether the function is​ even, odd, or neither. Give reasons for your answer sin7x

A: Topic = Functions

Q: 15. Suppose a function f is approximated with a fourth-degree Taylor polynomial about x = 1. If the…

A: We have to calculate the maximum error incurred using approximation to compute f(3).

Q: 1. Find the equation of a curve for which y" = 6x and which passes through the points (0,2) and…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 23. What are the roots of the auxiliary equation corresponding to the DE y(4)+3y"+6y" +5y+3y = 0 (A)…

A: As per guideline we can solve maximum one question you can repost other question

Q: Given: z = x³ + xy¹, x = uv³ +w³, y=u+ve™ дz θω Find when u = —2, v = 2, w=0

A: Given query is to find indicated derivative.

Q: Integrate TT y 2 x² dy dx.

A: To integrate ∫13∫24yx2 dy dx.

Q: Find the volume of the solid in the first octant bounded by the sphere x2 + y² + ² = 4, the ㅠ…

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Q: Solve. 27(9) 32x+34 = 16 X= Round to 4 decimal places.

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Q: 5. (Use limit). Find the equation of the tangent line to the curve y = -5x² - 2x + 7 at the poi…

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