S3 f(x) dx = −3 and 2₂9(x) dx = -2, what is the value of f(x)g(y) dA, where D is the rectangle: 3 ≤ x ≤9, -2≤ y ≤ 2? HINT. Use Fubini's theorem. You will see that the integral will get factored. you do not see that, go to the textbook of Stewart. That will help. NOTE. An ordinary integral depends only on the function being integrated (the "integrand") and the interval of integration. It does NOT depend on of the variable of integration. This is similar to summation: ₁ and Σk are the same - both mean 1+2+3+4. Similarly, ₂9(x) dx [(y)dy are the same - each one equals the area under the graph of g over the interval [-2, 9] (assuming that the function is nonnegative).

Q: 27. Use the method of completing the square (then u-sub) to integrate the following function.…

A:

Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x>4given  f(x) is differentiable at all point

Q: 2. Suppose that f(x) = ((.x² + x·5).5 +.r.5).5 when x ≥ 0. Find df(x)/dx. •5 (@ï¥2³ )² +x²)+…

A: The answer is given in step 2

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: I dont know what algberic moves to solve for the inverse of a polynomial function. f(x)=192t-16t^2…

A:

Q: The number of bacteria in a refrigerated food product is given by N(T) = 21T2 – 43T + 5, 2 <T < 32…

A: Use property of function and composition property

Q: The tangent to the function, f(x) = -2x² + 3 at the point (-1, 1) is the hypotenuse of right…

A:

Q: 8. Show that f(x) = ½n² - ½n is O(n²)

A:

Q: a³ f By definition, fray xxy dxdxðy Higher Verinetiues. True False

A: It is false.

Q: Write an equation for a quadratic func 1 and shifted up 9 uni 5' by a factor of O f(z) = 9+ 5(- x)…

A: Graph

Q: The graph of f'is translated a whole number of units horizontally and vertically to obtain the graph…

A: A graph of the functions  and  are given.The objective is to find the equation of the function .

Q: 9. Let f(x) = 3x - 2 and g(x) = -x + 4. Find (f o g)(5). Answer:

A:

Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: The derivative of f(x) = (4x3 +6x2 – 5)4 -

A: We havefx=4x3+6x2−54    ..........1

Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: Determine f" if f(x) = √√√x³ + 2.

A:

Q: 10. If f(x) = 2x³ - 3 x3, then f'(1) is which of the following? (B) -3 (C) -15 (E) 7 (A) 15 (D) -1

A: given function is

Q: Calculate R8 for f(x) = 10 − x over [3, 5]. R8

A: f(x)= 10-x Over [3,5] We have to calculate R8