Evaluate the indefinite integral. (Use C for the constant of integration.) COS X dx (sin x)20

Q: 10 8 10 f (x) dr=17 and f (x) dr = 12, then f (x) dx=5. A True B False

A: we use the properties of definite integral

Q: Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

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Q: 1.

A: Given,  ∫1+∞1xdx

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Q: 162 + 1 Compute the given integral. 1 +C 16x2 + 1

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Q: Find all the first and second partial derivatives of the function f(x, y) = x²y – 3y“.

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Q: 19 1(x) = -0.6(x – 267.05) + 12.34

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Q: The company can sell the item for $90,000 each. a) Write a cost function C(x) and a revenue function…

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Q: Evaluate the cylindrical coordinate integral. π θ/π 74-2 zdzrdrde 0 0 - /4-12 a 0/n 7/4-12 zdzrdrde…

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Q: 2 - x 3. Let f(x) = ! + In x. It is known that f'(x) 1 and f"(x) = x2 x3 (a) State the domain of f.…

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Q: 1 Given Rn 7+i- cos 7+ i- , express the limit as n → ∞ as a definite integral, n i=1

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Q: If 39 | f(z)dz = 7 - 89 and - 39 g(x)dx = 25 89 and 39 | h(x)dæ = 32 89 what does the following…

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 4+ 12x…

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Q: 6. An airplane is flying at 800 km on a bearing of [N 20° W] from Toronto to Sault St. M Then from…

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Q: Optimize Z= In(4x2 - 24x + 2y2 - 20y) optimize the function. Find Zx, Zy, Zxx, Zyy, Zxy. Comment…

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Q: Describe the graph of the equation. r = 9 sin 13t i - 9 cos 13t j

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Q: ​(A) Find the average value of the function over the indicated interval.   ​(B) Graph the function…

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Q: Given a function f(x, y) = In(9 – x² – y²). (a) Find and sketch the domain of the function. (b) Find…

A: Given function f(x,y)=ln(9-x2-y2 )

Q: Let e, = ( ) be a unit radial vector, where r = Vx? + y + z?. = (1 (a) Calculate the integral of F =…

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Q: Q5. Kindly answer within 10 mins, thank you

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: is an improper integrat. dr A True B False

A: To check : The statement "∫-121x2dx is an improper integral." is True or False ?

Q: Find the solution of the linear System by esing Al; X, +2X2+3X3 - 5

A: The system of equation can be written as;Ax=BA=123253108 , x=x1x2x3 ,…

Q: dr a 2 1 +3

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 tan(7x) sec2(7x) dx

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Q: 4. Suppose that f(2) = 16 and that f'(x) > – 3 for all x in the interval [2,7]. Determine the…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 4 dx V 81 – (x + 9)2

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Q: Use series to evaluate lim 3x(e -2/x - 1). lim 3x (e -2/* - 1) -O X00 (Simplify your answer.)

A: We can use series to find the limit as below.

Q: Q4) Find the turning points and the local maximum and local minimum of the given function x 5 y =…

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Q: 4- if U(x,y) = x2 + 2y and x(r, t) = r sint, y(r,t) = sin?t, au find 1- ar au and 2- at au 1- ar ди…

A: Given that,   U(x,y) = x2+2y   and x(r,t) = rsint,     y(r,t) =sin2t we have to find ∂u∂r,    ∂u∂t…

Q: Solve the initial value problem. 4 y(x) = 4 sec(3.xr) tan(3x) ; y(7) = 3

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Q: about the line, x- | (E'1) puo (!!)'(0) squiad %3D V= T RG) 3-X y= 2x+1 Idy 3 - 23. x- V= T 29 12

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Q: 10 10 f (x) dr=17 and | f (x) dr=12, then f (x) dr=5. A) True B) False

A: Given query is to find statement true or false.

Q: (a) / 6(6x + 7)°dx

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Q: et dz V1-e2x

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Q: You are given the following information about a termite colony population. The current population is…

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Q: Use the derivative formula below to compute the derivative of f(x) = x2 - 5x. SHOW WORK. You may…

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Q: the area of the region. 4 y = y 5- 2 1 5 10 3.

A: Topic:- application of integration

Q: The directional derivative of f(x, y) = cos(x²y³ ) in the direction of the vecto v = 3i + 4j is Du…

A: The given function is: f(x,y)=cos(x2y3) So, ∇f(x,y)=∂f∂x,∂f∂y…

Q: lim 2?e --00 1- cos(2x) im

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Q: Find curl(7z i+ 8x j + 5y k). curl(7z i+ 8x j+ 5y k) = (i )i + ( i )j +( i )k

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Q: ving limits. Since you

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Q: The derivative with respect to x of | (3Vi-1) dr is 3x – 1 by the 2nd fundamental theorem of…

A: Given that,         ∫3x3t-1dt

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