5. Determine the interval on which f(x) = x+2 is integrable. %3D (-00, 2) [-2, co0) (-00,-2) U (-2, 00) All reals

Q: Let f (x) = f₁²² sin² (t)dt. Find ƒ' (π). ○ 2π sin² (π) π sin² (7²) ○ sin² (²) ○ 2π sin² (²)

A: The given function is

Q: the function f is not differentiable at x=0.

A:

Q: Find of z = In(xy)

A: Given,Z=ln(xy)differentiating both the sides partially w.r.t. x∂z∂x=1xyy1∂z∂x=1xagain differntiating…

Q: Prove that m-l dx =0 m +n (し+x)" where m,n are both Positive

A:

Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

A:

Q: 1 =dx <1 Prove 4 4

A:

Q: What is the B of f(x, y) = tan (x3³+ 2xy)? [sec ² (x²y³+ 2xy] (3x²y² +2x) [sec² (x²y³ + 2xy ] (+²+*+…

A:

Q: Evaluate SIL. dydzdke, where E = {(x,y,z): (2+z12<x< 2, - (4 - z)2sy <(4 -2)12, 3<z 58}.

A: Given: The given integral is ∫∫∫Rdydzdx The given intervals are (y2+x2)12≤x≤2, -(4-z2)12≤y≤(4-z2)12,…

Q: Question 1 Suppose g is an integrable unary function and g(t) dt. Determine f.(r, y).

A:

Q: Let f () = x - 4. The critical number is x= (4,0) The left derivative at this critical number a f…

A:

Q: . The average value of f(x)=√(4-x^2) on [-2, 2] is 1/2 True False The function f(x) * f(x) = x² + 1…

A:

Q: The value of c of fox) -x*-2 x", in the interval [-2,2) such that f'(c) -0 is .A -1 ,2 ,0 .B -1,1 .C…

A: We apply mean value theorem Answer c)-1,0,1

Q: for If f (2) is a regular function of z, prove that f (2) 2 = 4 | f'(2) 1?. %3D ve I f12) 1? =4 |…

A:

Q: Integrate the function. 2+81 dx 4x2 V In Vx2 + 81 + x x2+81 4x + C In Vx2 • 81 + x] Vx2 + 81 + C 4x…

A: Given,            ∫x2 + 814x2 dx

Q: that of C Mean Value Theorem Find the values Satis fy the of Deriratives the for f(x)=x²+2x -/…

A: We have to find the value of C

Q: Is the set {sin nx , cos mx} an orthogonal set with respect to the inner product on the set of all…

A:

Q: Which of the following functions is continuous on the interval (-0, +)? …* f(x) = Vx² – 1 (A f(x) =…

A:

Q: If fCxl is continuous on [2,7],then Si f(u) dvz f (7)-(2) True e or false?

A: we have given that f(x) is continuous on[2,7].

Q: Evaluate ex sin x dx. A - ex (cos x + sin x) + C В e* (cos x + sin x) + C C) -ex (sin x - cos x) + C…

A: We will find out the required solution.

Q: Find the interval(s) where f is concave up for f(x) -4x4-3x- 5x-10 0)

A:

Q: Of of Let f(x, y) = x°y² tan y Then x +y. equals

A: The derivative of a function of two or more variables with respect to one variable, while the others…

Q: dx is equal to xlnx/ In?x - 4 A none of these sin-1 ´Inx + C -1 sec Inx + C 2 sin-1(플)+ Inx 2 2

A: Given:

Q: Determine n=0 1 L th (2n + 1)! An (x) An+1(x) dx, from the relation: n tn+1 LA -1 An (x) An+1(x) dx

A: Given Information:To find:The value of .Concept used:The power series of sine function is .