Question A5 For parts (a) and (b) integrate the function: exp (3/x²) x3 b) x² In 2x c) Evaluate x² (1+x³)³ -d.x

Q: The volume V in cubic inches of a sphere with radius r in inches is given by the function V(r) =…

A: the volume of the sphere is given by take r=6 if the radius of the sphere is 6 inches then its…

Q: Find the area of the shaded region under the standard normal curve: 0 1.50 The area of the shaded…

A:

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: Evaluate: 3 f(-x² + 4x-1)dx 1

A:

Q: Differentiate the following functions: a) y = (-5x-7)³ b) y = 7-2x² 2x+1

A:

Q: find the constant term of (2x² + 1/x)⁹

A: find the constant term of (2x² + 1/x)⁹

Q: () (O (-- 1) The span in F of the vectors 2 is a plane. 2) If a, b is a basis of R2, there exists v€…

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Q: Find the derivitive and show each step f(x) = 5/ (2x-3)^4 y = -6e^12x

A:

Q: Evaluate ((x-2)/x dx : 4 O 6 .6 テメ 11 3 11 * + C 11 6 4 + C 11 * テ x² +C /6

A:

Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: 1. 2y"" Hardcore 0 7y"+12y + 8y

A: To solve the given differential equation.2y'''-7y''+12y'+8y=0

Q: write a formula for a function h(x), whose graph is identical to the graph of y=x^3 except that the…

A: the given function has to be written as ratio of two polynomials  h(x)=f(x)g(x) the graph has hole…

Q: find X far 1o93(X=6x) = 3 STOBLRRY

A: Given: log3x2-6x=3

Q: ID 2 = {(Xy) 2x=7

A:

Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

A:

Q: Integrate the following x2(x-4)ex(x-2)

A: find out the integral of x2(x-4)exx-2

Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

A:

Q: (i) X= “ABCDBCDC” and Y=” BCDCD” (ii) X= “POLYNOMIAL” and Y= “ EXPONENTIAL”

A: This is a problem of counting and finite math.

Q: x) = (1/3)x - 6

A:

Q: If f(x) = 3x- x^2+2, find the value of: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f(3/2)

A: Given: fx=3x-x2+2 To find: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f32

Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1 So…

A: we need to find out the given integration by interpreting in the areas.

Q: Are these two functions equivalent? Justify your answer in more than one way. i) g(x)= -4(2x+6)^2…

A:

Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

A:

Q: how can you figure out the end behavior of the function 1/2(x-1)(x+1)^3(x-2)^2

A: Given:The function is

Q: h(x)=3*√(2x-5) inverse

A: The objective of the question is to find the inverse of the function h(x) = 3 * sqrt(2x - 5).

Q: Describe the effect of multiplying VI by -1 as in f (x) = -/I.

A: