at is AY 10 8- 4 2 4 O Area = 10 O Area = 12 O Area = 14 O Area = 16 3 2. 2.

Q: Find the area bounded by the curve y (x- 2)(x + 1)(2x – 1) and x-axis.

A: We use integration to find the area.

Q: dy Given the DE 6y? x , the general solution can be expressed as; dx 12x2 + C O 1 3x2 + C 3x2 + C - ...

A:

Q: The Laplace transform of t" is valid for s not equal to 0 O s0 O s>n

A:

Q: BASIC PROPERTIES OF INTEGRATION THTEGRATG THE FOILOWING stan2% Sec' 2xdx 2. 7) ァメuIS× COSX

A:

Q: Given a differential equation with certain conditions y (to) = or yfk) (to) = Yk = Yk' the largest p...

A:

Q: Find the binormal vector for 7(t) = (3t, sint, cos t) А. ВО cost, sint V10 10 1 B(e) = (- 3 В. ВО) c...

A:

Q: (b) Find equations of the tangent lines at the points (1, 11) and (2, 12). y(x) = (at the point (1, ...

A: Part a,             y=8+5x2-2x3 and x=a

Q: Let S = {intersection of [2,4) and (3, 6]} union (4, 5). Determine Sup S. A.) 3 B.) 4 C.) 5 D.) 6

A: Given that:  S = {intersection of [2,4) and (3, 6]} union (4, 5)

Q: After applying variation of parameters to y " +y = sec(x), the following equations are obtained c{ (...

A:

Q: parts clearly with explanation. Also, please read the question carefully because sometimes my questi...

A: Topic:- calculus

Q: 35) y= sec V-4x² – 1 |

A:

Q: Applying variation of parameters to the DE: y" - y = e +e ,we get the following system of equations:...

A:

Q: Simplify. V25 The answer is

A:

Q: The formula for the Laplace transform of t^ , n! is true for sn+1

A: Option (d) is correct

Q: Simplify by rationalizing the denominator. V5 (Type an exact answer, using radicals as needed.) V5

A:

Q: Multiply and simplify by factoring. V10 • /35 =O (Type an exact answer, using radicals as needed.) V...

A:

Q: 1.A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age...

A: According to company rule we can answer only first question and rest can be reposted.

Q: Which of the following is a possible solution of y – 4y = 0 %3D O y =-2 cos(r) Oy = -e-2 O y = e" O ...

A:

Q: 70ot(*) e*dx e2x +1

A:

Q: dy Given the differential equation dr2 + y = e=5# sin(x) Propose an appropriate particular solution.

A: Option A

Q: of Aumbers form {(-1)^(n+1)(n-1)/(n41)} Let be the ret of the where is an clement of the set of natu...

A:

Q: Find the general solution: (x – y) dx + xydy = 0 - x3 +с — 0 2x2 O none of the choices given In x + ...

A:

Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an answ...

A:

Q: Differentiate each function with respect to x. 34) y = cos -4x* + 3

A:

Q: P2.B: Evaluate the integral: (x+ 1)/2 J (x – 1)5/2

A: Evaluate the integral ∫x+112x-152dx

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

A:

Q: The Laplace transform of th is valid for O s>n O s>0

A: The Laplace transform of tn is        Ltn=n!sn+1, for s>0

Q: (b) State the range of f for the domain given in part (a). f:A B f(x)=(x-1)²+4. (c) Define the set B...

A:

Q: y = sin(x): x ) is a solution of °y" +y = 0 %3D y"-4y = 0 y" +4y = 0 °y"-y = 0

A:

Q: After 2250 years, 25% of a radioactive material remains. If the rate of decay of the material is pro...

A: Half-life = 0.693/Decay constant(lambda)

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: If y " +2y' + 2y = 3t2, y (0) = 0, y (0) = 2, what is the Laplace transform of y 6. s3 (s2+2s+2) 2s ...

A:

Q: Find- cotX cosx dx

A:

Q: Given that lim f(x) = 4 X-2 lim g(x) = -5 X-2 lim h(x) = 0, X-2 find each limit, if it exists. (If a...

A: given limx→2f(x)=4limx→2g(x)=-5limx→2h(x)=0

Q: sec(ln r) tan(In r)dr 7. J4r? -r sec(ln r) .2 1/

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: A spring has natural length 28 cm. Compare the work (in J) w, done in stretching the spring from 28 ...

A: Given:- A spring has natural length 28 cm. Compare the work (in J) W₁ done in stretching the spring ...

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

A:

Q: x2+6x+8 14. f (x) = x2+7x+12

A: Find the asymptotes of the given functions. 14. fx=x2+6x+8x2+7x+12  

Q: jar has 2 amoebas in it. Amoeba splits into two doubling in size once every second. The jar will be ...

A:

Q: 5. A realtor bought a group of lots for $90,000. He then sells them at a gain of $3,750 per lot and ...

A:

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: Differentiate each function with respect to x. 26. f(x) = ln(3x^2/4x^5-5)^5 27. f (x) = ln (x^4/4x-5...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

A:

Q: dy The equation dæ 1+In(xy) is fırts-order linear exact Bernoulli's equation O homogeneous coefficie...

A:

Q: Solve the following initial value problem for  y = f (x). dy dx  =  e−3x, y = 79  when  x = ...

A: dydx=e-3x and y=79 whrn x=0

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: P3.A: Find the area bounded by the curve y = (x - 2)(x + 1)(2x – 1) and x-axis.

A: Given:      curve y=x-2x+12x-1            

Q: (2) A study indicates that spending money on pollution control is effective up to a point but eventu...

A: The percent of pollution removal when x million dollars are spent is given by  as below: a. We need...

Q: J Sin (In 6) de

A:

Q: Find the domain of the vector function 7(t) = (, V1-t, 1 1 – t, t t +1 A. (-0, –1) U (-1,1) В. (1, +...

A: