Find the consumer's surplus for the following demand function at the given point. 4) D(x) = (x - 3)2; x = - 3)²; x = -3/12 N/W

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: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

A: Solution is here

Q: give me the solution of   y'' - 2y'- 2y = 0

A: Topic:- differential equation

Q: 1. Given function f, defined by the rule f (x) = a (c) bx + k Function fis represented in the…

A: Given that, the function f is defined by the rule     f(x)=acbx+k From the given graph , we can see…

Q: {(† - ₹)}₁_^

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Q: 10. 2 w² + 4w W 1 dw

A: Given problem:-

Q: i. Given that log x=12, log, y = 15 and log, z = 18. Consider the following four logarithmic…

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Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat F(x) = Sinx 29=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: The area enclosed between the two curves x² = 2y and y² = 2x is rotated about the x- axis. Determine…

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Q: .2 (a) x² + y² (b) 3x2 + 3y

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Q: Given f(x,y) = ex cos y, Evaluate fy(2,0) O e² cos 2

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Q: Find the trigonometric Faurier Series of the function defined by; flx) = x + # if = < X <... -T..

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Q: Question A particle moves along a line with a velocity v(1) = 3√1-4, measured in meters per second.…

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Q: udv = uv J to Explain why the substitutions below are inappropriate. Let u = e 1. Suppose we apply…

A: Here, to evaluate: ∫xexdx using integration by parts.

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: Given f(x,y) = x²y-3xy³. Evaluate O 14y-27y³ 6 + C O -6y³ +8y/3+C O 6x²-45x + C 4 O 2x²-12x+ C 2 f²f…

A: Please see the answer below.

Q: secxtanxd 9+4sec²x 7. S

A: The given integral is: I=∫secxtanx9+4sec2xdx    ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: J udv = uv J to Explain why the substitutions below are inappropriate. Let U = eª and 1. Suppose we…

A: lets here we use integration by parts rule  ∫xexdx here lets u = x v = ex  is good to substitute…

Q: Simplify sec(arctan 1) 1

A: Please refer to the image below

Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

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Q: f(x) = 6x 12 cos(x), -2≤x≤

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Q: ч 4х+5 чу+3 ІІ хр бр -

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Q: A spherical ball of radius 3 cm was dropped into a conical vessel of depth 8cm and radius of base 6…

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Q: A ladder 42 feet in length rests against a vertical wall. The foot of the ladder is 7 feet from the…

A: We want to find the correct answer.

Q: 48. If L = lim (cosec x)/(x, then the value of nL is - X->0* (A)1 (BY-1 (C) 0 (D) none of these

A: To evaluate: L=limx→0+ (cosec⁡x)1/ln⁡x Taking ln both sides, we will get ln L=lnlimx→0+…

Q: You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara…

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Q: In a statistics course, a linear regression equation was computed to predict the final-exam score…

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Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sol: 2L = 2 T qu L = π -41 -2π 4T 27T 21…

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

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Q: Find the integral of each of the following: (a) S(-6x³ +9x² + 4x − 3) dx (b) f(12x²9x) dx

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Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: In how many ways can a family of seven be seated at a round table if two brothers must sit together?…

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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: Which of the following is linear equation? a. 3x + 2y-z² = 0 b. sin 2x + y = 1 c. log x + 2y = 2 ww…

A: The equations are To evaluate: The linear equation.

Q: 41.) If f (x) = )=√(₁ (A) 3-e/4 4 tan(Cnx) +- (B) dx & f(1) = 0, then f (e/4) is - 3-e/4 4 (C)…

A: We need to choose correct option.

Q: 3. Carry out the following mathematical operations and report your final answer in the correct…

A: The objective is to solve the mathematical expressions.

Q: Q4: Let y = √t and a) 2 b) 3 c) 4 t = x² then y(") = 0ifn= d)5 e) others

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Q: 16. Create the augmented matrix for solving the following system of equations and show the 1st step…

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Q: √₁ 5. X x² 2 ²+x-6dx

A: Given:        ∫x2x2+x-6dx For the integrand x2x2+x-6, take partial fraction      =∫-95x+3+45x-2+1dx…

Q: Find the area of the region bounded by the curves y = x²y = x² and ² 01/2 02 O 1/3 O 2/3 = xy = x.

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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: Find the area bounded by y=-x²+1, y = −2x+2, x=-2, and y=2. A 16/3 B 5 None of these D) 4/3 E) 1/3

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Q: Express the polar coordinates (2.) as Cartesian coordinates. (√3,1) (-√3,-1) (√3,-1)

A: Topic = Geometry

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: Find a function y(x) such that 6yy' = x and x and y(6) = 9. y =

A: Topic = Differential equation

Q: If lim f(z) = 2 and lim g(x) = 7, then lim[3ƒ(z) — 4g(x)] = -22 G- *-b Ⓒ True O False

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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 convergence set for the power series, kak O a. (-7,7) O b. {0} O c. [-7,7) O d.\mathbb {R}

A: The given series is kxk/7k.