Suppose that f (x) has a continuous second derivative f"(x), f(2) = 4, f'(2) = –1, and / f(x) dx = 3. %3D Evaluate the definite integral 2 | a² f"(x) dæ.

Q: Choose the correct graph of F(x) = 2 sin x; - < x< 2 T: Av 2 1 -1 -2

A:

Q: )e*dx e2x +1 cot 3.

A:

Q: 5 The function f(x, y) = | x' cos is homogenous inx and y of degree

A: Given that: f(x, y)=x2cos2yx-y2+x3y

Q: INTEGRAL EVAL

A:

Q: Solve the homogenous differential equation.

A:

Q: dy (а) Find for y = cosh(4x). dx 10 (b) Find ( + i) 4

A: Given that: (a)y=cosh(4x)(b)14+14i10

Q: What is the period of G(x) = 5 sin(3x - 3 T)? %3D 2pi 2pi/3 2pi/5

A: Given that: G(x)=5sin(3x-3π)

Q: -20 e cos 30d0

A:

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

A:

Q: id the Domain ol y= Tx-31 (x¢4/

A: Follow the procedure given below. Domain means value of x that defines the function.

Q: Given the differential equation y" + 4y' - 12y = 10x2 + 7 And the Solutions to its Characteristic Eq...

A: NOTE: Refresh your page if you can't see any equations. . given characteristic solutions are  for ...

Q: Find the indicated integral (if it exists) / e bx dx e12z +1

A:

Q: 1. If f, g, and h are odd, integrable functions, and a is a real number then a | (1)i+ g(t)j+h(t)E) ...

A: "Since you have asked multiple question, we will solve the first question for you.If you want any sp...

Q: Chq/ Evaluate & F.dr by Stoke's theorem, Where fay+x§-cx+z)£ qnd C is the bounday of tri angle with ...

A: Stoke's Theorem : ∮F→.dr→ = ∫∫ F→.n^ dS

Q: 4. Solve the homogeneous differential dy equation dx + 9xe x .

A: Solution: Given data, dy/dx = 9xey/x +y/x Multiply by differential dx dy = (9xey/x +y/x)dx Divide by...

Q: Choose the correct graph of y = cos x, < x<: 2 1 27 -3. 3.7 -1 -2

A: y=cosx,π2&lt;x&lt;3π2

Q: 124 Х 209

A:

Q: A. Use the principle of mathematical induction to show that the tements are true for all natural num...

A: Follow the procedure given below.

Q: Let f(x)= -6x^4+8x^3+72x^2 a) The critical number of f are x= b) The values of x for which f has a...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: n 2. Determine whether the sequence a, is a monotonic bounded sequence. n2 + 1

A: Given that: an=nn2+1

Q: An employment research company estimates that the value of a recent MBA graduate to an accounting co...

A:

Q: What have you learned in evaluating integrals?

A:

Q: g(z) h(2) If f(z) = then f'1) -

A: Given that:f(x)=g(x)h(x)                        

Q: 1. y'dx-(ty+ y*Jdy = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

A: Given:

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx F...

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if , 2. The function f(x, y)...

A: Topic:- calculus

Q: (x² – 1 Given: f(x) = {2x – 1 if 0 5 3.

A: Topic = Functions

Q: y=2C1cos(2x)+C2sin(2x), Eliminate Arbitrary Constant

A:

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b + x)+ 59.

A: Given that: y2=a(b-x)(b+x)+59

Q: 1. yʻdx + (x²+ 3xy + 4y²)dy = 0 when y(0) = 1 %3D

A: Given DE is y2dx+x2+3xy+4y2dy=0 and y0=1

Q: 8. Let f(x) = x3, g(x)= sin(x) and h(x)= Vx. Evaluate the following functions. a. h(g("/2)) b. Domai...

A: Given that: f(x)=x3g(x)=sinxh(x)=x

Q: Find the Laplace Transform of the given function. Show your solution completely and box your final a...

A: Given that: f(t)=t2sin2t

Q: 3(w-5) 2(w-2) 20. w+1 21. Solve for r: D=rt 22. Solve for W: P=2L+2W

A:

Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by...

A: Area of parallelogram of the vectors a and b is a×b.

Q: (e) y = (2x – 3)(5 - 6x) () y = (x² +5)3 (23 (g) y = x - 1 (h) y = II

A:

Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is per- pendicular to...

A: Let's find. 

Q: Agree. Disagree 1. Is it correct to say that we can only get an estimate of a limit? Why do You say ...

A:

Q: y'dx-(sy + y* }ky = 0 1. Let the substitution y=2; y=vx; dy=vdx + xdv

A:

Q: x- 1 (i) y = () y = Vx(Vx+1) x + 1

A:

Q: 2.c) Eliminate the Arbitrary Constants in the equation: * y – x = C1e* + Cze-2* -y" - y + 2y - 2x + ...

A:

Q: Find the length of the parabola given by c(t) = (t, t²) for 0 <1 < 5. Hint: Use the formula / Vī+² d...

A:

Q: A tree on a hillside casts a shadow c = 235 ft down the hill. If the angle of inclination of the hil...

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

Q: Suppose that h(x) has a continuous derivative h'(x), h(0) = -2, h(T/4) = 2 and tan(x)h'(x) dx = 4. E...

A:

Q: 3. Let 4x-10 if x5 Compute the following limits when they exist. x-5 a. lim g(x) x-5- b. lim g(x) x→...

A:

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: Given:     f(x) = 4√x    Interval: [ 0 , 16 ] 

Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: Q)In 1973 a town's population was 382. By 1998 the town had grown to 864 people. Assuming the same e...

A:

Q: Find the limit of the rational function (a) as x→0o and (b) as x- 0o. Write co or - oo where appropr...

A: The given function is: f(x)=5x+87x+7

Q: f(z) can be written in the form of g(z) 47x + 2 The partial fraction decomposition of 12:2 + 5x – 2 ...

A:

Q: 1. Estimate the limit of the signum function s(x) as x approaches zero from the right. (-1, x0

A: