luate 2 Af ² (x-1) 25 dx 7 S² √4+3x dx 1 x² (1+22³)5 dx esinx cosxdx O 플 the definite O inte

Q: Question 2 The function y = ax + has a minimum at the point a = -2 O a = -3 O None of the choices a…

A:

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A:

Q: Find the derivative of f (y) = 5 sin6 (yª).

A:

Q: A Norman window is in the shape of a rectangle surmounted by a semi-circle. 38. Which of the…

A: We are allow to solve one question at a time.if you need rest of solution please upload it…

Q: d Using chain rule, what is the (2x-¹ + 3x)³ ? da O-24-36x²+54x*+81x 24-36x² +54x+81x8 24+108x²+54…

A:

Q: calculate the area of that part of the surface z = 2xy which is bounded by the planes   x+y=1, x=0,…

A:

Q: 2 show that V(x, y) = x 'f (2x+y) is the general Solution of : Xav dx 2x du ду = V

A: We can show given function is a solution of the given equation .

Q: Let f'(x)= = (x-1) (x-2)(x+1) and g'(x) = (x+2)(x-3) (x+3)

A: We have to find the interval in which f(x) and g(x) are decreasing.

Q: Consider the following families of sets indexed by the set of natural numbers. i which among these…

A:

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

A:

Q: Find the area of the curve y = x² and y = 9

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

A:

Q: Prove each of the following. (a) Given a real number a > 1 with a N, show that there is some natural…

A: a) As a is a real number, then it can be written as sum of a natural number and a fraction.  Hence,…

Q: A company determines that its demand function is given by p(q) = -0.7q+2056 and that its cost…

A: A company determines that its demand function given by p(q)=-0.7q+2056 and that its cost function is…

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: After…

A:

Q: Find the area under/bounded by the given curve. Show the graph (you can use any graphing software,…

A: To find the area under the given curve.

Q: As shown in the required readings or videos find the general solution to the differential equation…

A: Here we have to find the general solution of the given differential equation,  y'+2y=2ex…

Q: Find all numbers b such that the average value of f(x) = 7+ 8x - 6x2 on the interval [0, b] is equal…

A: Value of b is given.

Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…

A: To find equation of tangent line and then arc length of thegivencurve.

Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Given: Total length of fencing = 600 feet We know that area of a rectangle is length × width

Q: 3. Let B=(2,4,6,8,10), C=(4,8, 10), and D= (xxis even). Answer the following questions. Explain (a)…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Evaluate the indefinite integral Sxe-xdx O-X-1 ex O X-1 ex O -x+1 e-x O-x-1 e-x -X =+C + C = + C - +…

A:

Q: By Maclaurin series expansion, show that the sum of the geometric series may be written as a power…

A:

Q: 4 Calculate the directed curvilinear integral I where L is the perimeter of triangle ABC with…

A:

Q: 1ln(1 + x) dx X 0

A: We have to integrate

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6…

A:

Q: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

A:

Q: Evaluate [(x +2y) ds, where C is the curve defined by y = √√4 – æ², for x = [0, 1

A: Here ds is arc length.

Q: Evaluate y' y = cosh²12x +sinh²6x

A: To find out the derivative.

Q: An open-box (top open) is made from a rectangular material of dimensions a = 8 inches by b = 6…

A:

Q: Region R is a plane region bounded by the curve y = 32, the y-axis and the lines y = 1 and x = 4.…

A: We have to find the area and volume.   According to our guidelines we can solve only three subparts…

Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and the…

A: Let's find volume of solid bounded by curve and plane by using double integration.

Q: Let f(x) = 3 cos 2x + sin² x. a) b) Show that f'(x) = -5 sin 2x. Зл In the interval <x< one normal…

A:

Q: Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For…

A: On solving this we will get

Q: Given a second order differential equation d²x dx 3: + 2x = 2e³t dt² dt dx where t = 0, x = 5 and =…

A: The given differential equation is: d2xdt2-3dxdt+2x=2e3t  where x0=5, dxdtat t=0=7.The above…

Q: What is the value of a such that the function y = 2x4 - ax² + 3 has twin global minima at x = -3 05…

A:

Q: What is the f(7) (-4) of g(x) = 2 205x53x¹ +9x³ +9² +2x+1 ? - 6 O 1/3 0 0 O-4 O 240

A:

Q: (xy² + y-x) dx + x(xy+1) dy = 0

A:

Q: [Select] derivative of y? y = = x²e²x+1 18. Which rule is applicable when solving for the A.…

A:

Q: What is the derivative of y = (4x2 + 9x + 1)e-2? O no correct answer Oye-2 [2(4x² + 9x + 1) + (8x…

A: Solve the following

Q: Which condition shows the correct application of the chain rule?

A:

Q: 1. Evaluate a) for²dr, 2. Evaluate fr+7r² dr. 3. Evaluate a) fe²dr, r/2 4. Find sin rdr. b) dr, c)…

A: 1. evaluate  a) ∫01x2dx = [x3/3]01 = 1/3   b) ∫231/x2dx [-1/x]23 = -1/3 +1/2 = 1/6   c) ∫12x2dx =…

Q: Evaluate the triple integral. [[[_xy sin(yz) dv, G where G is the rectangular box defined by the…

A: The given triple integral is evaluated below.

Q: As shown in the required readings or videos use Euler's Method with a step size of h = .1 to…

A:

Q: A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

A: A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

Q: Evaluate the double integral: L y 1/3 27 +1 dx dy.

A: Given: I=∫08∫y132yx7+1dxdy The region bounded by the curves x=y13, x=2, y=0 &amp; y=8 is as shown…

Q: An airplane takes off from an airport at sea level and its altitude (in feet) at time t (in seconds)…

A: The given equation is: h=3400lnt+1   ...1   As we know that; The Power Law: ddxxn=nxn-1 The Chain…

Q: 4. Evaluate 12x+1 dx 5. Evaluate dx x 6. Evaluate 3x -¹ dx

A: Let's solve given integral.

Q: f(x) = 4x³ - 12x² + 36x 12. What is the value of the 2nd derivative of the

A: