1 3t(2 – t)²dt -1

Q: A patient receives a 150 mg injection of a drug every 4 hours. The graph shows the amount f(t) of th...

A: Given:

Q: Ex , Prx , fy, fyy, Pxy, fyx F(X, y) = %3D x +y

A: Given: f(x,y)=1x+y

Q: Solve the first order differential equations (x³ + y4)dx + 8y³xdy = 0 when x = 4, y = 2

A: (x3+y4)dx+8y3xdy=0dividing by dx  on both sides(x3+y4)+8y3xdydx=0dydx=x3+y4-8xy3dydx=-x2y-38-y8xdydx...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: Given the differential equation y" - 9y = 7x5 + 4x² e-8t Find the Differential Operator for the Righ...

A: Consider    7x5+4x2e-8x Differential operator of 7x5 is D6Differential operator  of 4x2e-8x  is (D+8...

Q: A ball of radius 1 is contained in a right circular cone. Find the snallest possible surtace area of...

A: Given : A right circular cone with :radius=r , and height=hA ball of radius=1 kept inside the cone.A...

Q: 3) The electrical power, p(), in kilowatts, being used by a household as a function of time t, in ho...

A:

Q: -97 a. Find the most general real-valued solution to the linear system of differential equations a' ...

A:

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a- ...

A:

Q: Given the differential equation y" - 3y' - 28 = 6x e2 + sin(8x) Find the Differential Operator for t...

A: This problem can be solved as follows

Q: Complete the table. 4 lim f(x) X→3° -3 = -00 lim f(x) %3D X--00 lim f(x) -2 -1 6 7 8 %3D X→+0 -1 lim...

A: Topic = Limits

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). I-00 f(x) = cot 1 (14x + 2) !!

A:

Q: (3x2 + 2y²)dx + (4xy + 6y²)dy = 0

A:

Q: valuate and solve the linear differential equation (D5 - 15D3 + 10D2 + 60D - 72) y = 0

A: Given: (D5 - 15D3 + 10D2 + 60D - 72) y = 0

Q: 1. Consider the region bounded by y = x and y = vVa, shown below. Find the volume of the solid obtai...

A: Volume=13π15 cubic units

Q: is the collection of all elements under consideration in a statistical inquiry. C. Population A. Sta...

A: Given : .................. a collection of all the elements under consideration in a statistical inq...

Q: Evaluate : 1) | cos x 3) [ cos x 2) [ ,cot ydy sin' x 1+ sin x 7/4

A:

Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

A:

Q: Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx...

A:

Q: 3. (a) Evaluate the following with the trigonometric form of Beta functions(Give your answer in term...

A:

Q: Find the volume bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

A:

Q: Complete the table. 6 lim f(x) x→-11 %3D = -6 lim f(x) %3D -12 -10 -8 -6 L4 -211 10 12 X→-2 = 3 -2 -...

A:

Q: Write as a decimal. (Type a decimal.)

A:

Q: y = xV 64 – x² + arcsin 5.

A:

Q: y'' - 25y" = 8x7 Find the Differential Operator for the Left Side of the differential equation. A (D...

A:

Q: dy-yln(ye^cosx)dx=ysinxdx

A: Given:       dy-ylnyecosxdx=ysinxdx

Q: Find all points (x,y) on the graph of y = X-4 with tangent lines perpendicular to the line y = 4x- 3...

A:

Q: Choose the letter of the correct answer. 1. There are 4 conditions to determine if the given functio...

A: Given 1. There are 4 conditions to determine if the given function f is continuous at the given numb...

Q: Given the differential equation y" - 16y = x2 - 3x - 10 Find the Differential Operator for the Right...

A: According to question,Given differential equation,y''-16y = x2 -3x-10

Q: 2. Find the integral Jsec dx

A:

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

A:

Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: As per guidelines we can solve only three subparts at a time, so the first three subparts of the que...

Q: 3. Find the volume of a sphere with radius r by integration.

A:

Q: On the graph of f(x) apply. = sec x and the interval (-2n, 27), for what value of x does f(x) = 1? C...

A: f(x)=secxf(x)=1

Q: Use Simpson's rule with n = 4 to approximate 11 3Va? + ædx Keep at least 2 decimal places accuracy i...

A: ∫abf(x)dx=∫3113x2+x dx where   a=3,b=11 and n=4then h=b-an=11-34         h=2 Simpsons Formula is giv...

Q: Find the arclength of y = 2x – 5 on 0 < x < 4

A: Topic:-  derivatives

Q: Evaluate the integral. | 8xex dx

A:

Q: 5. у %3D sin? (3x2 — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) = -12(cos3t)csc(s...

A:

Q: Two people run for 13 seconds with velocity functions vi = a m/s for person A and vz = 3/Tm/s for pe...

A: Topic = Algebra

Q: The Physics Club sells E = mc? T-shirts at the local flea market. Unfortunately, the club's previous...

A: Solution is here

Q: Evaluate the integral. 1/2 3 sin 2nx dx 2.3 16 16 3 8

A:

Q: You want to buy five bottles of soda in order to cater a small get-together at your place. You run t...

A:

Q: Solve the given differential equation by undetermined coefficients. y"-8y'+16y = 24x+2

A:

Q: In (1+x) lim

A:

Q: Solve the Differential Equations (FODE). xdy – ydx = (x² – 3axy + 2a?y²)(xdx + ydy)

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A:

Q: Evaluate the expression using the order of operations. (22 - 9+ 3) - (42+3•5) (22 -9 + 3) - (42 +3•5...

A: We know that BODMASThat is Bracket-Division-Multiplication-Addition-Subtraction.Given (22-9÷3)-(42÷3...

Q: 10z2 Evaluate the integral: -dr 100 (A) Which trig substitution is correct for this integral? Oz = 1...

A:

Q: Sove the differential equations (2y- 2x + X 1+ x²yz

A: Check given differential equation is exact or not. i.e.    My = Nx

Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: