y = x3 – xẻCOSX + 2xsinx +2coSXX

Q: Question 17 :S- Given : 4x - 3 A = √ (21²+8) √u²+2 ® / / / 1 (2011 B (2u²+11)u √u²+2 © ²/2 √ ( 2 u ²…

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Q: 5. y = 5 tan x³ + sec (3x)

A: Topic = Derivative

Q: 14 Given the triangle answer to 4 decimal places. X find the length of side x using the Law of…

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Q: A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution…

A: We are given that in a 200 gallon tank , intially there was 100 gallon of water which contains 20…

Q: 3. dy dx + y = 2xy²e²

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Q: 8 Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

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Q: A region is bounded by the y=x² and y=6x-x² Which of the following integrals would approximate the…

A: We can solve this as follows:

Q: 12. (a) Use the alternating series test to show that the series converge [(-1)*+¹/ k k=1

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

A: We have to solve the given differential equation.

Q: B. In the diagram below, not drawn to scale, A, B, C and D are points on the circumference of a…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: 18. Evaluate § (9 − x² − y²) dV, where H is the solid hemi- sphere x² + y² + z² ≤ 9, z ≥ 0.

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

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Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 12.1435 B) 13.1435 12.7834…

A: The region bounded by y=ex, y=ln x, x=e, the x-axis and the y-axis.

Q: A 60-m climbing rope is hanging over the side of a tall cliff. How much work is performed in pulling…

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Q: 8. ABSOLUTELY LOGARITHMIC The following information is given about a logarithmic function and an…

A: The logarthim function  is of the form fx=alog4x-h+kThe equation of the asymptote is x=100The…

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

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Q: Suppose ƒ be a function such that fo f(x) dx = 3. Then ² t² f(t³)dt: 9 [Select] Select] 103

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Q: = -21n|1-√√x-2√√x+C - dx = Statement 1: 1 Statement 2: S √ √ 171- -√x (A) Both statements are true.…

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

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Q: Printegrating Factors (x² - Sin²y) dx + x sin zydy = o

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Q: The area enclosed between the two curves x² = 2y and y² = 2x is rotated about the x- axis. Determine…

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Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =

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Q: The graph C' of the equation y = gives the course taken by an oil tanker after leaving port, which…

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

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Q: What is the amount of work done on a spring when it is compressed from its natural length of 1 meter…

A: Compress from the natural length through 1-0.8= 0.2 meter spring constant 'k'=16 N/m

Q: Find the radius of convergence, R, of the series. 00 (x-4)" n+1 n = 0 R = 1 Find the interval, I, of…

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Q: Use the theorems to evaluate the limit. lim x³ x → 2

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval not X ≤ 0…

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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: 10) Given the following exponential function f, where c> 1. f(x)=p(c)(x-r) + s In addition, p 0, r>0…

A: Solved below.

Q: Write the equation in standard form. x 2 + y 2 - 8x - 4y + 12 = 0 ( x - 4) 2 + ( y + 2) 2 = 8 ( x…

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Q: What is the amount of work done on a spring when it is compressed from its natural length of 1 meter…

A: Topic = Algebra

Q: dx In the next integral S x√25–4x² substitution is considered 2x = 5sin 0, after performing the…

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Q: need

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Q: (e) 2a7/2.a¹/2 a-1 (f) √₂√b a 5 √ab

A: As we know the Rules of Exponent or Laws of Exponents . 1). ax·ay=ax+y 2). ax÷ay=ax-y 3). axy=axy…

Q: Find the general solution of the differential equation: logS=x+y

A: Given problem:- Find the general solution of the differential equation: log S = x+y

Q: 9/Find Parametric equations for the Line that is tangent to the curve r(t) = eti + (Sint)j + In…

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Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: Evaluate the integral. (Use C for the constant of integration.) [5√16. 5√ 16 + ex dx

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Q: 7. Evaluate the volume generated by revolving the area bounded by the given curves using the hollow…

A: The given curves are x=4y-y2, y=x.   Now find the point of intersection between the curves…

Q: 3. For the below ordinary differential equation with initial conditions, state the order and…

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Q: Identify the conic section whose equation in standard form is y 2 + 8y - 10y - 34 = 0. ellipse…

A: Topic = Geometry parabola

Q: у ху X Sin x

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Q: 3 2. x1 + x² dx

A: Definate integration

Q: Ao -47 -2π 2tr 2TT 21 t²dt = = =²1²³² = 31² t 82 ㅠ cesnt dt = 21 t² sinnt = [² s + n 2t c3nt 2sinnt…

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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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