8 If f.°³ F(x ³ f.° 9(x. f(x) dx = 39 and 8 d fº[31 g(x) dx = 16, find [3f(x) + 5g(x)] dx.

Q: 3 dx 23. (x-1)(x 2)

A: Given,

Q: 9. (x – 14) dx 2

A: Fundamental theorem of calculus allows us to reduce computing the definite integral to computing a…

Q: 5. Change of variable 2 x dx 3x+1 a.

A: Given function, ∫12x3x+1dx

Q: dx (9 – 4.x²)³/2 2,3/2

A: Given: The integral is ∫dx9-4x232. To find: Value of the integral.

Q: (c) Use geometry (ONLY) to find the exact value of (2x + 1) dx. Illustrate your method with a new…

A: By sketching graph

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: find dy. y =2√x/3(1 + √x)

A: we have to find the derivative y=2x3(1+x)

Q: 9. x² dx (1 – x²)3/2

A: Let's find.

Q: d. Evaluate dr ((5x² + 10)e) at r = 2.

A: We will differentiate the given expression using the product rule and then put X equal to 2

Q: SSx = 172.5, SSY = 80.6, and ∑[(X – Mx) (Y – MY)] = 95.33, r =  A. .08. B. .01 C. –.81. D. .81.

A: SSx = 172.5 SSY = 80.6 and ∑[(X – Mx) (Y – MY)] = 95.33

Q: 15 dx (x + 1)(x² + 4)

A:

Q: Find dy when X= 4 and dx = 0.2. y 3x-4x + 2x+ 3x -7 y%3Dx

A:

Q: (2/x)(1/2y) = 1/100 and x = 5 . What is the value of y?

A: