P2.C: The integral below may be written in the form A cot x + Bx + C. Calculate (A + B)2. 7- 6 sin? x dx sin? x

Q: 32 + 3z+ -IHTEGRATE THE FOllowING: 8) 2 1+ 2z 十2 zp ! 32 +37'+x

A:

Q: If f(x)- 12+ 27, find f'(9).

A:

Q: Use the graph to determine the following. AY a. the function's domain b. the function's range c. the...

A: Topic:- function

Q: Apple pies are often served with ice cream on top. If the pie is too hot, the ice cream will melt to...

A:

Q: If the Laplace Transform of F (t) = Vt3 is 3 T , what is the Laplace Transform of 5 4s 2 F (t) = e' ...

A:

Q: For the given​ functions, find f o g (x) and g o f (x) and the domain of each. f(x)=1-x/4x g(x) ...

A: We have to find domain and f(g(x))

Q: Find the values of x such that the vectors (3, 2, x) and (2x, 4, x) are orthogonal.

A:

Q: Evaluate f csc² x cot x dx by two methods: (a) Let in appearance of the answers obtained in (a) and ...

A: Integrate cosec2xcotx by two methods .   

Q: ii) Show that lim - 1+22+33 +...+n' "]=1 1/n

A: Apply Cauchy Frist theorem on limit

Q: The Laplace transform of a constant, k, is valid for

A: The Laplace transform of a constant k, is valid for ______

Q: After applying variation of parameters to y "-2y +y = the following equations are (1+2?)" obtained q...

A:

Q: dw 5. Ve200 -1 sece"

A: We have solve to evaluate the integral

Q: Find the inverse laplace transform of: F (s) = 2e-3s s(s+1) ° f (t) = (1 – eʻ-3) u (t + 3) ° f (t) =...

A: Given:   F(s) = 2e-3sss+1

Q: Given the following differential equation: (D² – 9) y = e-4= cos e* Using the method of variation of...

A:

Q: evaluate the definite integral of " sqrt{x}ln{x} " for the domain [1, 2

A: Given: - The definite integral is, ∫x.lnxdx for the domain1,2 To evaluate: - The solution of the giv...

Q: In the food industry, a quantity called decimal time is used instead of half-life. The decimal time ...

A: Solved below

Q: ax + by + cz + d, = 0 13) Show that the distance between the parallel planes: and ax + by + cz + dz ...

A: here we have to prove the formula of distance between 2 parallel planes.

Q: Solve the given initial-value problem. The DE is homogeneous. xy2 dy = y3 – x3, y(1) = 4 dx

A:

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to ...

A: We will find the double derivative of f(x)=7/sqrt(x+4)     At (0,7/2)

Q: The slope of the tangent line to the curve y at the point (2, 1) is: The equation of this tangent li...

A:

Q: 14. If y = f(x) is a solution to the differential equation = e* with the initial condition f(0) = 2,...

A:

Q: Given that: lim f(x) = 5 lim f(z) = 8 lim g(x) = 10 lim %3D 25 9(x) = 0

A: Given, limx→5f(x)=5      limx→-5f(x)=8limx→5g(x)=10    limx→-5g(x)=0    

Q: 3) Find the exact length of the curve y = x² – In x for 1< x < 2. 1„2

A:

Q: Given: x'(t) + 2y(t) = - 1 where, x(0) = y(0) = 0 x(t) - y'(t) = 2t Find : v(s) = L{y} 3 s(s² +2) s(...

A:

Q: Solve the differential equation. Finalize answer in terms of x and C combined equated to y. (e.g. y^...

A:

Q: Find the radius of convergence of the following power series. (Зх — 6)" - .6 n=1

A: The given power series is ∑n=1∞(3x-6)nn6

Q: d'y Given the differential equation + y = e-6" sin(x) dx? Propose an appropriate particular solution...

A: follow the procedure given below.

Q: serfup but do notevaluate an integral that represedts the volume of the solid oft rer olution obtain...

A:

Q: Find L(y). / + 2x = 2 - x' = et (0) = x (0) = 0 -2 L (y) PL(y) = %3D s(s2 +2) 2s L (y) = %3D (s-1)(s...

A:

Q: e2x +2e* -dx e* +1 2.

A:

Q: The dependent variable in aUgy = BUyy = k is/are: °U a, B o x, Y

A:

Q: Find the slope of the line passing through the pair of points or state that the slope is undefined. ...

A:

Q: Differentiate each function with respect to x. 1. y = ((2x^3-1)^5+ 1)^3 2. y = ((-5x-3)^5 + 1)^2 3. ...

A: 1. y = ((2x3 -1)5 + 1)3 2. y = ((-5x-3)5 + 1)2 3. y = ((x3 -2)5 - 2)3 Repost the next parts.

Q: 6x4 – 2x Find an antiderivative for Antiderivative =

A: We have to find the integral

Q: Find L {(2 t" - 3) (t +2)} O 2(2n)! n! -- $2n+1 sn+1 O 2(2n)! s2n+1 n! sn+1 O 2(n²!) n²+1 n! sn+1 O ...

A: To find:- L{(2tn-3) (tn+2) }

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. dx =

A: Given: I=∫-∞-3e5x1+e5xdx   We know that; ∫1ax+bdx=1alnax+b+C

Q: etermine whether the given lines are parallel, skew or intersect. If they intersect, find the point ...

A:

Q: Let f(x) = ln(x). Find the equation of the function g whose graph is the following transformation of...

A: We need to find g(x).

Q: 3 5/3 3 1/3 + 6 for 13x<27. Find the length of the curve y = =x 4 5

A: We have to find the length of curve.

Q: 9. Tan -30 degrees 11. tan -960 degrees 13. cot -630 degrees 15. tan 90 degrees

A:

Q: TAT So use the 1. Show csC x =- CSC X Cot x. (Hint: csC X = quotient rule.)

A: topic - derivative of a trigonometric function note: as per bartleby guidelines, we are supposed to ...

Q: dy Given the differential equation. da? + 4y 0 and the initial conditions y(0) =0 and y'(0) = %3D a,...

A: To find the value of a, first we differentiate y= sin(2x) with respect to x and then substitute x=0 ...

Q: (+e") dy In the given DE, cos x + In y + dr integrating the coefficient of dx, M (x, y), with respec...

A:

Q: Given the differential equation, d y 3 + 4y = e-2 dy 2-2x cos? 3x – sin? 3x], the proposed da2 dx pa...

A:

Q: How much work W is done in pulling the rope to the top of the building? Show how to approximate the ...

A:

Q: lim (4.x – 3) = 9

A: The given limit,      limx→34x-3=9

Q: P2.A: The integral of the following function: r In(sin2 x) dx tan(x) may be expressed as: A ln3 (sin...

A:

Q: dx + 2xydy: こD (6x²+y²)

A: follow the procedure given below.

Q: d*y The equation da4 4y 1+ ( is 72 dx O linear and ordinary O linear and partial O nonlinear and ord...

A: Here we have to find the type of given differential equation.

Q: d'y Given the differential equation, dx? dy 2y = e2" sin(2x) cos(2x), the propsec - dæ particular so...

A: