Show that convolution with a given function f commutes with differentiation; that is, show that (f*g)' = f*g'.

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 z√ 25z² - 49 √₂√² dz

A: Let's solve given integral.

Q: Find the domain of the function. Give result in interval notation  f(x) = 8/√8−4x

A:

Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

A: Solution is given below:

Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy x -y xy…

A: Topic = Derivative

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² – 5(x + Ax) + 3 − (x² − 5x + 3)…

A: Given :lim∆x→0x+∆x2-5x+∆x+3-x2-5x+3∆x

Q: - - Find the cross product (-2i - j + k) × (3i − j − k). Answer:

A:

Q: C) g'(x) = 3x²; g'(1) = 3 D) g'(x) = 3x2 + 5; g'(1) = 8 mits to find the derivative function f' for…

A:

Q: Solve for a. 8. 9a 16 a² =

A:

Q: Find the integral involving secant and tangent. (Use C for the constant of integration.) Itan tan²…

A:

Q: 1. Find the G.S. and P.S. of y" = 6x, y'(0) = 2, y(0) = 1.

A:

Q: 4. For each graph below, answer the following. a. Is the polynomial an even or odd degree…

A: As per our guideline we are allowed to answer only three subparts of the given problem. Kindly…

Q: Find a vector n normal to the plane with the equation x+6y + 4z = -10. n= 00> (1₂)

A: Concept: The equation of the plane is written as: ax-x0+b(y-y0)+c(z-z0)=0 or ax+by+cz=d Here the…

Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

A:

Q: Find the decomposition a = ªb + ªь with respect to b if a = (x, y, z), b = (-1,-1,-1). (Give your…

A:

Q: 3. Determine the Present Value of an annuity which provides payment of $1200 every month for 6…

A: Concept: Future value: Amounts of money or streams of cash flows that are anticipated in the future…

Q: Problem 2 a. If y(t) = x₁(1) * x₂(t) = e^(1+3)u(t+3), find z(t) = x₁(t+4)* x₂(t−5). b. If x₁(1) =…

A: In this question we have to find the values of the functions.

Q: Solve for x using the system of 6. equations. 7y = 5x and 35 + 4x = 3y

A:

Q: The table shows the position of a cyclist. t (seconds) s (meters) (a) Find the average velocity for…

A:

Q: Q. 1. a) Find the area of the region enclosed by the curve y = x² -2 and by the line y = 2. y=x²-2…

A:

Q: D] Find composite functionsf(g(x)) and g(f(x)) for given f and g 1) f(x) = 3x + 1, g(x) = 2x² 2)…

A:

Q: Write out the form of the partial fraction decomposition of the function. Do not determine the…

A:

Q: (1) In the given figure, ABCD is a square of side length 8 cm, BTRS is a square of side length 6cm…

A: Given data:- Part(1); Side length of square ABCD, a = 8 cm Side length of square BTRS, b = 6 cm Side…

Q: Given the DE as 2xy² + 4 = 2(3-x²y)y'. A. prove or disprove if the given D.E. is exact. B. If it is…

A: The given differential equation 2xy2+4=23-x2yy' Exact differential equation:    The differential…

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

A:

Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

A:

Q: -10 -10- 0 -5 5 10

A:

Q: Which of the following is true? A differential equation involving derivatives of one or more…

A:

Q: The fox population in a certain region has an annual growth rate of 6 percent per year. It is…

A: Concept: The fox population in the year 2000 is 18000 Here the year 2000 is taken as starting year…

Q: 27. Given that what is equal to? A. -85 16 B. -85 18 C.-5 18 D. E. -72 18 -90 18 -

A:

Q: Solve: 2 cos² x = x+sin x - 1 = 0, over the interval 0 < x < 2π

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: 3 TT The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 7³. Express r as a…

A:

Q: A function g is given by g(x)=x²-9. Find g(-9), g(0), g(7), g(a+h), and g(- 9) = (Simplify your…

A:

Q: Determine the point(s) at which the given function f(x) is continuous. f(x)=√6x +30 Describe the set…

A: We have given function  fx=6x+30 Function will be continuous if  6x+30≥0 6x≥-30 x≥-306 x≥-5 Interval…

Q: Find Tn centered at x = 8 for all n for the function f(x) = x-². (Use symbolic notation and…

A: Given fx=x-2

Q: 4. f(x) = 2x2-10, g(x)= =-x

A:

Q: does the series  E infinity/n=1  2^n/3^n converge or diverge a)the series converges because its is…

A:

Q: upward. flux = Compute the flux of the vector field F = 5xzi + 2yk through the surface S, which is…

A:

Q: Evaluate the integra S 10x dx

A:

Q: Describe all the x-values at a distance of 15 or less from the number 10. Enter your answer in…

A:

Q: Find the standard form for the equ of a circle (xh)² + (y - k)² = 7² with a diameter that has…

A:

Q: The count in a bacteria culture was 200 after 20 minutes and 1900 after 40 minutes. Assuming the…

A:

Q: Find f. f. f 2 f(x,y,z) = 3x - √y² +2₂² f = 0 (Type an exact answer, using radicals as needed.)

A: f(x,y,z)=3x-y2+2z2

Q: skills. AJ re* d 3. [xln(x) dr A.I 5. x²e - dx arctan(r)dx besche Art of (In.2) ² (7.). FRAZA dx…

A:

Q: (1) Sketch these four lines y = 2x + 1, y = -x, and x = 0 and x = 2. Then use integrals to find the…

A:

Q: у 1 0 1 do Ч 6 X

A:

Q: 5. Find when y-In () A. 2000)+ sin(x) B. In (()) 2² C. xoos (x) + sin (0 D. 2009 (3) sin(x) xsin (x)…

A: Given: y=lnsinxx   As we know that; The Chain rule: fgx'=f'gx·g'x The Quotient rule: fg'=f'·g-g'·fg2…

Q: √t 12. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the…

A:

Q: (4) Find the area of the region in the first quadrant bounded above by y = √x - 1 and y = x - 3.

A:

Q: Give the slope and y-intercept of the given equation, then graph it. 11. f(x) = 3x − 4 400

A:

Q: (a) Σ(1/7)", (b) (1/7)" where k is a nonnegative integer, n=k (c) Σ07" /n!, n=0

A: We have to evaluate the value of series in this question.