If f(x) = x + 3r + 5, evaluate each of the following: c. fl-x). %3D a. f(2) b. f(x + 3) с.

Q: iii) If ff f(x)dx = 3 and 2f(x)dx = 4, then | f(x)dx = 7.

A: Consider the given function as ∫12fxdx=3, ∫232fxdx=4  Here  ∫232fxdx=42∫23fxdx=4∫23fxdx=2

Q: f(x) = x* + x³ - 22r² – 2r + 40 %3D

A:

Q: differentiate the expression with respect to x, assuming that y = f (x). x2y3

A: We need product rule

Q: df If f(x, y) = x² + 2x – 1, then 0. - ду True False

A:

Q: If F(t) = t2/120 ; 0≤t≤8 years, the average failure rate will equal to:

A: The rate of failure for the survivors to the next instant of the time is defined as the failure rate…

Q: Find SR E R 2x 14 x+2

A:

Q: y=f(x) A1 3 15

A:

Q: If F(x) = x +5x +C and F(1)= 11, what is the value of C? %3D

A: F(x)=x2+5x+C, F(1)=11

Q: If h(X) =n) 3+3F(X) where FC1) =7 and f'(1) what is h'LI) ?

A: If h(x) = 3+3f(x)   where f(1) = 7 , f'(1) = 2 differentiate h(x) with respect to x.   then put x=1

Q: If the p. d. f. of X is f(x) = ; 2 < x < 8, then E(10X²) is: %3D

A:

Q: Find Pr(Y=2|X=3).

A: The probability distribution table is given To find Pr(Y=2|X=3) here we use the formula…

Q: If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) ?

A:

Q: What is the relationship between 2.AXY and YXB?

A: Consider the figures,

Q: If s(x)dx=+C, then f (x): -3 x3 x4 А) True B False

A:

Q: Suppose f(x) =. %3D dr=AV 5x-4 +C, for constants A and C, what is the value of A? 5x-4

A:

Q: If f(x.y)= x?+2xy+5y² then дудх

A:

Q: Find the consumers surplus and producers surplus for p= D(x)= 71- 1/10x and p=S(x)=35+1/20x

A:

Q: At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X…

A: We can find the required answer from the graph as below.

Q: If h(x)=√6+5(fx), where f(1)=6 and f'(1)=3, find h'(1)

A: Given that: hx=6+5fxWhere,  f1=6,  f'1=3 Differentiate the given function with respect to “x” then,…

Q: If fx) = x'(x – 2) then f"(1) equals" A -1e C 2 D -2 E

A:

Q: . Find, from first principles, f(2, -1) for f(x, y) = 2a?y³ + e2y. ,2,,3

A:

Q: If 9x/4y = 1 and y = 18 , what is the value of x?

A: Simplify the equation and put value of y we get the x,

Q: Consider the following equations. f(x) = x5 + 3 %3D g(x) x + 3 %3D

A: The region is bounded by the graphs,  fx=x5+3 and gx=x+3

Q: Find (d) E (X² . Y²)

A:

Q: f(x) 3 alog,(cx – d)

A: This is a problem of Numerical Analysis, Reimann Integration.

Q: Suppose f (x) = dr=AV5- 3x +C, for constants A and C, what is the value of A? %3D If V5- 3x

A: Integration

Q: Given f (x)= = 3r2 + 4. g(x) = 2x – 5, and h (a) = –4x + 7, find f (x) x h (x). %3D %3D %3D f (x) x…

A: Multiplication of the functions helps to find the required expression. The distributive property…

Q: If f(2x) = 5x2 + 3, then f'(2) = %3D О а. 5 O b. 6 О с. 2 O d. 10 O e. 3

A: Given ,  f(2x) = 5x2 + 3 then  We have to find the value of f'(2)

Q: If f(x) = x² + 3, then ƒ(x + h) =? Select one: a. x² + 2xh+h² + 3 O b. x² + 3 + h² c. O d. x² +3 + h…

A:

Q: Eliminate the arbltrary constant of y= C1X+ 2

A: Consider the equation: y=c1x2+c2e2x We have to eliminate the constants

Q: cx? + 7x if x 4

A:

Q: Let f(x) = cx3.4 and suppose that f(4) = 14. Find the value of c. Round to 4 places, if needed. c =

A:

Q: If 3x² – 4xy = 1, then when x = 1, dy A. В. 1 c. D. 0 E. - 1/2

A: We will use implicit differentiation to find the value of the derivative of y with respect to X in…

Q: Find GF if TF = 6.3 %3D T. F

A: ET is the median of the given triangle.

Q: R ,,D المناسبة ل لداله الاتية : س / أختار قيمة x-2 f(x) = x+2

A: Root of the function is 2.

Q: r. = x (n) |1,

A:

Q: (d) If x y/1-y², find

A: Solving question1 for other question repost.

Q: If y = 4x2 + 2x4, and x is changed from 3 to 3.01, then the value of dy is.

A: The given function is: y=4x2+2x4 Now, given that x changes from 3 to 3.01. So, ∆x=3.01-3=0.01. So,…

Q: If Sf(x)dx= cotx? +C, then f(x) is equal to A -2cscx2 В none of these © -2xcsc?x2

A:

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x < 4 а. 2 b.3 с. 0 d. 1

A: Given that: f(x)=3x2-12x+9

Q: If f(x) = 2x' - 2/x+4ln x, then f' (1)= %3D О а. 9 O b. 8 О с. 11 O d. 10

A:

Q: Evaluate  D(x)=A(x)B(x)+5 at x = 2 where A(x)=5x2-1 and B(x)=25x2+1

A:

Q: If h(x) h'(3) = 7 + 6f(x), where f(3) = 7 and f '(3) = 2, find h'(3).

A: Write h(x) using exponent.

Q: Evaluate:h(x) =5x³=-3x+9+ given x=3

A: Given, h(x) =5x³-3x+9 and x=3 Using in h(x), we get

Q: For y = f(x) = 2x, find Ax, Ay, and - Ay 4x² Ax= given X₁ = 3 and x₂ = = 6.

A: The simple average rate of change

Q: ihear syster x + Xy = -2 Ar + y = 1, consistent for all values of A.

A:

Q: Determine whether e y = x2 - 4x + 3

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Q: If f(x, y) = (x³ + 4y2)3, find and Əx ду

A:

Q: If f (a + b – x) =f(x), then "xf (x)dx is equal to

A: