Evaluate the integral O 03/20 Ⓒ100 C 87² dx using the two-point Gaussian quadrature rule. 1+16z4

Q: I It ex 1-ex dx

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Q: a) Find the outward flux of the vector field F(x, y, z) = x³i+y³j + (z³ + xz)k across the surface of…

A: Concept: Divergence theorem: According to the Divergence theorem, the Surface Integral of the Normal…

Q: 3. Find the value of a, where A = 43 L-2 0 a -3] 2 is singular matrix.

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Q: Find the area of the sector of a circle with diameter 36 feet and an angle of 7π/4 radians.…

A: Here we have to find the area of a sector.

Q: 14. Find the equivalent integral of * S x(x+1) O-f3dx + f 3d x+1 dx OS÷-1# R x+1 01 Of //dx -…

A: Here we have to apply partial fraction.

Q: Show the 2 SOLUTIONS using Simpson and Trapezoidal's Rule. Thanks

A: Given

Q: ☆ 6. Find the integral of xx²-1 O Sin ¹x + C 4 O Sec-¹x + C Cos ¹x + C Sec-1 (1)

A: Here we have to find the integral.

Q: An employee at a garden center fills a water tank once a day around noon to a height of 20 inches.…

A: Given: M(x)=5x3           T(x) =5x-103   where x in seconds

Q: It is estimated that t years from now the population of a city will be P(t) = 20(60 + 3)² - 1100t.…

A: The population of the city after t years from now is given by, P(t) = 20(60+3t)2 - 1100t

Q: -3x For the function: f(x) = choose any value for d other than 0, 1 or -1. Write the function below.…

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Q: Question 2.7d. Consider the linear system of differential equations Select the particular solution…

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Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal. y =…

A: Question 1: When a tangent line is horizontal to the graph of function , that means the slope of…

Q: 17. Integrate xylnx 3 X enfra W + C 3 2(1 x)² 3 2 ln x L +0 + C (In x)² + C

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Q: Evaluate the function below from x = 2 up to x = 4. S((1+x) √æ -)dx All associated angles are in…

A: To evaluate the value of function given from x=2 to x=4.

Q: 4. To integrate using trigonometric substitution the functio dx -2x we let x = sec 8 - 2

A: We wil use substitute method

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: Given

Q: Given f"(x)=e^x with f"(0)=6, f'(0)=2, then f(x)= ? + C Note that your answer should not contain a…

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Q: Find the finite derivative of a the functions below at x=1: a) f(x) = 4x³-3x²+2x-3 3 b) f(x)==-²/ 3…

A: Concept: The derivative can be represented as f'(x) or ddx(f(x)) Derivative of xn: ddx(xn)=nxn-1…

Q: Write an equation of the line that passes through (-5,1) and is parallel to the line defined by…

A: The line passes through -5,1 and parallel to the line defined by 5x+y=2

Q: Eliminate the parameter t to find a Cartesian equation for X = 3-t = Y - 13 - 4t The Cartesian…

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Q: Find the point at which the line intersects the given plane. x = 3 - t,   y = 3 + t,   z = 2t x - y…

A: Substitute the line equation in the plane equation

Q: 4 3 2 1 -4 -3 3 4 --x-- -2 -3 -5+ In the above graph of y = f( x ), find the slope of the secant…

A: In the given graph of y=fx, to find the slope of the secant line through the points -3, f-3 and 1,…

Q: each question. A correct answer Use reference angles to evaluate sec (117). 3 Enter the exact…

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Q: Evaluate the trigonometric function below from x = 1 up to x = 5. S(sin√T sin √x) dx √x

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Q: Find the particular anti derivative that satisfies the following conditions: dy/dx=3x+5/sqrt3 of x ;…

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Q: 2. Find the area of the plane region bounded by y = 3x + 1, x = 1, x = 3,and the x-axis. y y = 3x +…

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Q: A) Consider the function f(x) whose second derivative is f’’(x)=4x+3sin(x). If f(0)=4 and f’(0)=4,…

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -7 In(z) = n = 0, ±1, ±2,…

A: This question is related to complex functions, we will solve it using given information.

Q: 4. The top ten state populations, in millions, according to the 2010 Census, are shown in the table…

A: From the given table, we need to find Percentile  and Percentile Rank.

Q: In triangle ABC, let M be the midpoint of AB and N be the midpoint of AC. Suppose that you measure…

A: Concept: Midpoint theorem of the triangle: According to the midpoint theorem, "the line segment in a…

Q: M=12 & f=5, what is mf squared

A: M=12 & f=5, what is mf squared

Q: 6 7. S 36+x² dx

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Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

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Q: Find the equation of a line tangential to the curve y = 2x² + 7x + 9 at P(1,18).

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Q: Consider the function f(t)= 3 sec^2 (t) - 3t^3. let F(t) be the anti derivative of f(t) with F(0)=0.…

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Q: Question 6 af Given f = esec (#) -ya+y, find dy (#) sec² (=) ye NO -y+In (y)

A: Given :f=esecxy-yx+y

Q: Proceed as in Example 3 in Section 6.1 to rewrite the given expression using a single power series…

A: Given the expression,∑n=2∞nn-1cnxn-2+∑n=0∞cnxn+2

Q: Problems bany CARRAS stalwin A داراه rablare, ww.ap. Problem 9 rober 19 graphy belowy is lustrated…

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Q: Graph the logarithmic function. g(x) = 4log3 x Plot two points on the graph of the function, and…

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Q: 4. The top ten state populations, in millions, according to the 2010 Census, are shown in the table…

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Q: x² + 10 x3 + 3x² + 3x + 1 dx

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Q: late the followin integrals: a) ²² - i)² dx z³+4 b) § 22 +4 dz when the contour C is the circle |z -…

A: We use here Residue theorem to find the complex integral

Q: You plan to invest in an account which pays 5.5​% compounded continuously. If the investment period…

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Q: 24 १. शुक dx +3

A: The given integral is: I=∫x4x5+33dx    ...1 As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: Prove the identities Then use them to show that a. sinh 2x = 2 sinh x cosh x. b. cosh 2x = cosh²x +…

A: Here we have to use the given identities to prove.

Q: (tanz+cotr)-(tan'r+cos'r)-(sin'z+cot'r) -dz S x Lnx Ln (Lnx) Ln (Ln (Ln(x))) Ln (Ln (Ln (Ln(x)))) Ln…

A: On solving numerator we get equals to 1 and then solve by substitution

Q: 24 S2−3x√1 + y² dydx 0

A: To solve the following iterated integral.∫02∫x24-3x1+y2 dy dx

Q: PART II: Problem Solving. (Show your solution) Your parents bought a car in 2014 at the price of…

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Q: 4 x+4 dx

A: We have to evaluate ∫4x+4 dx.

Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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