Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of Integration. /(x²-12x - 4) dx 4_6x² - 4x + c 1.4 Submit Answer X

Q: Evaluate the definite integral. 1. 2 cos-¹(x) √1-x² dx

A: Given Problem:- ∫-11-2cos-1x1-x2dx

Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8 5 4 3 2 11 8 6…

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Q: What is the general solution to the the differential equationy'''=0? A y=C₁+C₁₂x 1 By=C₁+C₁₂x+C₁₂x²…

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Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: 6. What are the restrictions on the variable for a) x #8 b) x # 4 c) x # 2 d) None of the above 8 2x…

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Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = 6y² + 6z² and x…

A: To evaluate the triple integral ∬∫ExdV where E is the solid bounded by the paraboloid…

Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

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Q: If u = sin® 3 - x 2 find Ou Əx Ou and ह Hence show that 2 Ou 1 y x 3 –x dy Ou = 0

A: Given u=sin-13-xy2

Q: Given x = y² +y + 1 from 0≤y=2 The Arc Length of the given curve over the interval is a. 7.38 units…

A: I have stated the used formula in the solution

Q: 9. Compute the area of the region in the ry-plane wich is bounded by the z-axis and the curve r(t) =…

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Q: y = x y=2-x2

A: The region is bounded by the curves y=2-x2 and y=x is rotated about x-axis. we have to fins the…

Q: Evaluate £¹₁7 x8 − 7 x³ + 7 x² dx. Round your answer to two decimal places. £²₁7 r8 − 7 x³ +7 r² dr…

A: Given definite integral is: ∫-11(7x8-7x3+7x2) dx

Q: (a) Consider the power series Show that B(x) converges for all x. B(x) = Σ n=0 (-1)η 2η 22n (n!) ²

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Q: 8. Give examples of sets of three vectors that are a. Collinear b. Coplanar c. Not coplanar Explain…

A: Solution: a) Collinear : Two or more vectors are called collinear when they are parallel to the same…

Q: 2 √9x²-16 x² dx

A: We will use substitute method to solve the integration

Q: Find (3x + y)dA where D = {(x, y) | x² + y² ≤ 16, z ≥ 0} Round your answer to four decimal places.

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Q: b) Find the derivative function of f(x) = √5x - 1 using first principles.

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Q: 2. The piecewise function g(x) is defined as follows (x+2)³ g(x) = cos(x) (x-1)²/2 if x 1. (a)…

A: Please see the below picture for detailed solution.

Q: TU 8. fz sin¹x cos5 x dx 2 0

A: To find the value of the given definite integral:∫0π2sin4x cos5x dxWalli's Formula:∫0π2 cosnx dx=…

Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī+ zī+ yz k over the cube…

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Q: The area of a square is increasing at a rate of 56 centimeters squared per second. Find the rate of…

A: Given data÷ Rate of change of area  =dAdt=56cm2/s Side of square =a=4cm We need to find dadt=?

Q: Find the acceleration vector for the position vector r(t) = (sin(11t), 4tº, e -2t). x component = y…

A: We need to find acceleration vector.

Q: 20. A store finds that its sales revenue changes at a rate given by S'(x)=-3x² +300x dollars per…

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Q: Devin invested an amount of $10,000.00 in a mutual fund. After 2 years and 6 months the accumulated…

A: The solution is given below

Q: I: SEQUENCE For each sequence, state if conver find the limit. 1) an = n²-1 2 2n -n+7 , n=1, 2, 3,…

A: since you have posted multiple question i can do first question as per our company guidelines please…

Q: 7. lim x-1x³ 2x²-x-3 + 2x² + 6x +5

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Q: Convert x2+y2= 26 to an equation in polar coordinates in terms of ? and ?.

A: The given equation is x2+y2=26 we have to convert this equation into polar coordinate in terms of r…

Q: 1/5 a) S J1/10 10 Arc sin(5x) dx

A: Please see the below picture for detailed solution.

Q: Find the domain of f(x) = √6x +9

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Q: Use Taylor series you already know to find the Taylor series generated by f(x) = x³ ln(1 + 2x) at x…

A: Answer is in next step. please give a like!!

Q: 5. The population, P, of an island, y years after colonization is given by the function P = a. What…

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Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

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Q: Consider the vector whose initial point is P(-6, 1) and terminal point is Q(-5, -3). Find the…

A: Recall: Position vector v→=a, b where a=x2-x1 , b=y2-y1 We have (x1, y1)=(-6, 1) and (x2, y2)=(-5,…

Q: 8) FIND THE INTERVAL OF CONVERGENCE FOR Σ (-1)" x 1=2 n2^ n

A: The given series: ∑n=2∞-1nxnn2nWe need to find the interval of convergence.

Q: π 7. fz sin¹x cos¹ x dx

A: To evaluate the following integral by using Walli's formula.∫0π2 sin4 x cos4 x dx

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

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Q: In a cafe, only coffee and tea are offered. The probability of a customer buys a cup of coffee is…

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Q: Consider the following second-order differential equation with constant coefficients, d² - z (x) − 8…

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Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

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Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

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Q: Find the vector equation that represents the curve of intersection of the paraboloid z = 2x² + y²…

A: Given: Let us take x = t. So, we get y=t4  and  z=2t2+t42=2t2+t8.

Q: Find the area of region A in the figure if the equation of the boudary is r = 4 cos (0). r=1 A A = X…

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Q: 1. Factor the following completely. a) 16x² - 100 b) 15x²-3x - 12

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Q: Find 2 -1 (3x³ + 7x¹) dx

A: Here we have to solve definite integral

Q: Find a vector with initial point (4, -4,0) and terminal point (7, -14, - 10). Then find a unit…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: e) fx³ √2x² +1 dx wil(-) {. ub f CP

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Q: SEND IN 20 MINUTES PLEASE !!!! Find all extreme points (maxima, minima, saddle points) of…

A: Extreme points of the function fx, y=2x3 + 2y3 - 9x2 +3y2 - 12y

Q: Evaluate the definite integral by the limit definition. L²(x² + 4) dx Submit Answer

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Q: Evaluate [ f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: z = x + y, x² + y² ≤ 1

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Q: Consider the function f(t) = 5 sec²(t) — 9t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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