- S(2 + 5x) es dx

Q: Find the exact value of the surface area generated by revolving the curve 1 + 1≤x≤2, about the…

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Q: Let f(x) = 2x³-9x² - 24x+2. a. Find all points on the graph of f(x) at which the tangent line is…

A: Topic = Derivative

Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 y=x 2 (6,6) 8

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Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) A cos 2 B) e² CO (D) -sin 2

A: This question can be solved using the concept of partial derivatives.

Q: di +1000- +250000i =0, given df i'(0)=100. [i=100te-500] d²i d1² i(0) = 0 and Laplace Derivativ

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Q: - First Order Linear Differential Equation Direction: Solve the general solution of the following…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…

A: The objective is to find the indefinite integral.

Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

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Q: 5. Find the surface area of x = e³ that is of revolution about the y-axis on 0 ≤ y ≤ In 7.

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Q: Identify the focus and directrix of the parabola: y = -4(x - 2)² - 3. f: (1, -4), d: y = 2 f: (2,…

A: If the equation of parabola is of the form x-h2=4py-k(i)  if p>0  then focus is h,k+p  and…

Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2,2, -3).

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Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

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Q: :S- iven : alue of AB 3 8x+1 4x- dx. If we let the substitution" = 4x-5, the final answer takes the…

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Q: The value of arcsin O KIT X 4 KIO O KIM X 3 KIN 2 (9) is

A: here is given that sin-1(1/2) we now that sin-1(sin(π/6))

Q: 11. Suppose a population grows according to a logistic model with initial population 300 and…

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Q: 300. NR4) For a graduation ceremony, there are 8 people sitting on stage in one row. If the master…

A: We want to find number of arrangement possible.

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: To find out the volume of revolution.

Q: (d) The set of points in space equidistant from the origin and the point (0,2,0). (e) The set of…

A: Question d and e has been solved as per the request of the student.

Q: For the function f(x) = 2x², find the difference quotient 4a + 2h h 4 a² + h 4 a + 2 h f(a+h) h…

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Q: 1 Find the volume generated when the area bounded by y=√√x and y=-x is rotated around the x-axis 2…

A: The region bounded by y=x and y=12x is rotated about the x-axis.

Q: Solve the D.EXY+Y=1/1/2

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Q: = 3. Let R be the region bounded by y = √x and y 2. Find the volume of the solid generated when R is…

A: Washer Method : Suppose that the f(x) and g(x) are continuous and non-negative function on a,b and…

Q: In the process of calculating that: cos³ (112) de a substitution is made in the variable u, then it…

A: Given query is to find the integral after substitution.

Q: y = Arctan 2+x 1-2x

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Q: Convert the point with polar coordinates 9, 3 The point is: C M 2 3 4 5 6 wend W е t 1 9 C $ % Oll y…

A: Given query is to convert polar to rectangular coordinates.

Q: Use the theorems to evaluate the limit. 1 lim x →∞ X² ||

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Q: Evaluate the integral S (2x − 8)dx - x² - 6x + 18

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Q: An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically until its…

A: Follow the procedure given below.

Q: The value of arcsin KIJ 4 O K|6 O KIM R 3 KIN 2 (9) is___

A: SOLUTION-

Q: 1. Evaluate the integral using atrial fractions method: 3x² -dx (x − 1)(x² + x +1)

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Q: L 2 + 1 s(s − 1)(s + 1)(s − 4),

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Q: Evaluate the integral. √2/2 love 10 x² 1-2 dx

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Q: The graph of f is given. Use it to graph the following functions. (a) y = f(2r). 0 (h) y = f(x).

A: Topic:- function

Q: 9. y = 3 Arcsec 3x

A: On solving this we will get

Q: By using Interval Halving nethod, If the lies in the nterval [1,2], e=0.02the oot of the f(x)=x^2-3,…

A: Follow the procedure given below.

Q: (c) 2x2(4x6)2 (d) (3x-2)-4-4

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Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =…

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Q: (d) Find a vector function that represents the curve of intersection of the two surfaces: the xy…

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Q: Can you state the order and tell if it is linear or non linear please?

A: Given.

Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: 6) If nP3 = 2 nC4 then nC6 = A. 1716 B. 3003 noituloa s ni fluash blud C. 5005 D. 8008

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Q: Given: c= 8, a = 5, C = 67° C b A B C Solve the triangle. (Do not round until the final answer.…

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Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: The given problem is solved below in detail.

Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…

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Q: Identify the conic section whose equation in standard form is x 2 + 2y 2 - 3x + 8y = 10. ellipse…

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Q: If 0 = 0 and R = 7√2, then F₂ = 2

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Q: lim x-0 x - tan x3 X

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Q: Determine the magnitude of the vector sum V-V₁ + V₂ and the angle 8, which V makes with the positive…

A: We have to find the vector and angle.

Q: Express the function in the form fog. F(x) = (2x + x²)³

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Q: What integration technique can be used to integrate: 5√3+x² dx X

A: Follow the procedure given below.