Find the indicated limit. 4/x x/ lim

Q: Let p(x) = vx represent the radial density of a disk. Calculate the mass of the disk of radius 4…

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Q: Find the most general antiderivative or indefinite integral. 6 5 dt

A: The given integral,          ∫tt56+t3t2dt

Q: In(1tcos 3x) 10. dx 1+cos 3x + C S (cos x)(sin?x)dx = 2 s In(3x) dx 11. + C 5in (1x) + C 12. %3D

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Q: Solve the inequality. (Round your answers to two decimal places. Enter your answer using interval…

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Q: solve the following system 2x+3y=-16…

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Q: 7 |sin? xdx 2 |sin? xdx 11 Ssin? xdx

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Q: N. xe S 2(cos x)(sin x)dx = 2 +c (5 In(3x) dx 11. Sln°(3x) o. 12. +C Р. сot x -dx =+c 13. Q. cot?x

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Two lines with slopes m1= 4/3 and m2= -7/2 intersect at (3,2). Determine the equations of the two…

A: Determines the equation of two lines with slope m1and m2..

Q: Solve the following initial-value problem by using integrating factors: x?y' + xy = 1, x> 0, y(1)=2

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Q: Inx For the function f(x) = - find f'"(x). Then find f'"(0) and f"(2). 11x f"(x) =O

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Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x' by the line…

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Q: Find the area under the given curve over the indicated interval. 10 y=x: (1, 3] The area under the…

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Q: ا وا ور باه واه С. x e

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Q: x dx-x cos? x dx + (sin x tanx sin y ) dy = 0. %3D

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Q: Find the equation of the parabola described below. Find the two points that define the latus​…

A: Here we have to find the equation of the parabola also find the two points that define the latus…

Q: Find f. f"(8) = sin(e) + cos(e), f(0) = 5, f'(0) = 4 f(e) = 5t – sin (t) – cos(t) + 6

A: Here we have f''θ=sinθ+cosθ, f(0)=5, f'(0) = 4 fθ=?

Q: 1. Find the area between y=x and y=x' from r%3-1 to x%-D1.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: solve the following system: 2x-7y=2                                                3x+y=-20

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Q: Secax dx tana x

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Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) (x) =…

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Q: 3 f(x) = x° – cos(x) %3D х — - Solve this question by the Fixed-point method on the topic of…

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Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: A rectangular plot of land is to be fenced in using two kinds of fencing.Two opposite sides will use…

Q: Let a = ci + j and b = 9i + 63j. Find c so that a and b are orthogonal. C = i

A: Let's find.

Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

A: The given sum,   1+8+27+64+125+216

Q: 4. If all three sides are given, the first step in order to solve the triangle is: A) apply the…

A: if all three sides are given, the first step in order to solve the triangle

Q: Write a general power series of a solution centered at a regular point x0=3.

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Q: If log₁₀ x = 5, what is the value of x?

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Q: 9. if A = [12 3; 4 5 6; 7 8 9], inverse of A is denoted by O A(inv) O inv(A)

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Q: Find the general solution of the given differential equation: dy = x²y %3D dx

A: Solving

Q: Find a power series representation för the function. (Give your power series representation centered…

A: The given function is f(x)=ln(11-x).

Q: Find the open intervals where the function is concave upward or concave downward. Find any…

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Q: Evaluate the triple integral g(z, y, 2) dV over solid B. B = {(x, Y, 2) | 4° 0, y > 0, 5 < z < 8}…

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Q: A tank initially holds 10 gal of fresh water. At t=0, a brine solution containing lb of salt per…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find the Maclaurin series for f(x) = cos (x'). %3D (Use symbolic notation and fractions where…

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Q: 10 -5 -10 %3D -2 -4

A: The answer is in below steps.

Q: Fill in the table and then sketch the vector field. z| y F(z, y) = (, %3D 20 0 2 -2 -2 2 -2 -2| -2 2…

A: Here, to fill the table and then plot the vector filed.

Q: Find the gradient vector field (F(x, y, z)) of f(z, y, z) = e®2z + $y + 2= F(1, y, z) =

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Q: 8x, + 4x - X3 = 11 -2x, + 5x, + x3 = 4 2r, - x2 + 6x, = 7 4 %3D

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Q: Given sinα=0.378sinα=0.378 and sinβ=0.349sinβ=0.349 with both angles' terminal rays in Quadrant-I,…

A: Given problem:- Given sin(α)=0.378 and sin(β)=0.349 with both angles' terminal rays in Quadrant-I,…

Q: 1. Find the second derivative for f(x) = (2r² – 3)* (Answer should be in simplified factored form…

A: Given problem:- Find the second derivative for f(x) = (2x2  - 3)8

Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

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Q: A goat farmer needs to enclose a rectangular field. The area of the field will be 600m^2  The farmer…

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Q: Write the limit as a definite Integral on the Interval [a, b], where c, Is any polnt in the Ith…

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Q: Consider the parallelepiped with adjacent edges u = 2i + 4j + k v = i + j+ 6k w = i + 2j + 5k Find…

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Q: 6. Find the area bounded by:

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Q: Complete parts (a) through (c) below for the given function. 2x f(x) = x² +4 (a) Find intervals…

A: Given

Q: 4. Consider the function f(x) = (2x - 3)5. Discuss the continuity and %3D differentiability at x =…

A: 4.f(x) = (2x-3)15 from the graph, f(x) is not differentiable at x=32 , since slope changes at x=32…

Q: Consider the rule f which maps elements in the set A into the set B and which is illustrated below.…

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