What is the absolute minimum value of the function f(x) = x' - 3x2 on the interval [-2, 4] ? Оа. 16 O b. 0 О с. -4 O d. -20 O e. None of these.

Q: II. Find the Inverse Laplace of the following 2s-9 d. s² +2 1 е. (s²+1)(s²+4s+8)

A: As we know the Laplace transform identity; 1). L-11s2+a2=1asinat 2). L-1ss2+a2=cosat 3).…

Q: Q5: S x dx ajconverges to 1 bjconverges to cconverges to- 4. d)diverges 25-2

A:

Q: Let B be the sphere x2 + y? + z2 = 1. %3D The volume of the portion of B contained in the first…

A: x2+y2+z2=1

Q: Evaluate the definite integral. e4 dx xylnx

A: We can evaluate the integral as below.

Q: Given f(x) = (2x - 3)" (x+1). Determine (if any)

A: Given

Q: Find (x, y, z). (Let P = (7, 7, 0) and the Midpoint = (0, 5, 5).) (х, у, 2) %3 Midpoint (х, у, 2) P

A:

Q: Resolve the following: x2-x-13 1. (포+7)(x-2)

A: Since you have posted multiple questions which are not interlinked so i can do first question as per…

Q: 120 a) Asymptotes b) Local maximum or minimum c) Behaviour Page 3 of 4 d) Based on your graph, fill…

A:

Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: 7. The sides of a square are measured to be 4 in, with a possible error of = (4) in. Estimate the…

A: We have to find the possible error and rate of change.     According to our guidelines we can solve…

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: Given

Q: What are the two values of k closest to 1 - 4 for which S sin? (x +4) – cos² (x + 4) dæ has a value…

A: The solution is given in the next step.

Q: To evaluate f dx, we choose : ,dv = xdx b)u = Vx - 1, dv = x dx %3D du

A: ∫xx-1dxLet u=x-1.=∫ 2u2+1du=2·∫ u2+1du=2∫ u2du+∫ 1du=2u33+uSubstitute back…

Q: つX

A: Given:f(x,y)=tan-1xy

Q: Given f(x) = 2x + 4, what is the value of '(1)? Select the correct response: 1 O 2 O 4

A:

Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

A:

Q: The partial sum 1 +7+ 13 + .+ 175 equals Question Help: DVideo MMessage instructor Submit Question

A:

Q: x - 1 Suppose the symmetric equations of lines l1 and l2 are = 2 - y = z and a =-1, 3 y - 2…

A: Given: The equations of lines are, l1: x-12=2-y=zl2: x=-1, y-23=z-12 Concepts used: The equation of…

Q: B- Find the length of the curve given by the position vector r=, =r'i+(1+(1/3)x')j+(1-(1/3)')k for

A:

Q: The power series representation of 8. f (x) = x+7 centered at x=2 is: O :- 8 8 8 8 81 (*- 2) + (x-2)…

A: Topic = Series

Q: Question 5 The approximate value of -31.8 using linear approximation, imaginary O (E) None of the…

A:

Q: Determine any critical point(s) for the function f(x)=-3x2-9

A: For Critical Points We will Put F'(x)=0

Q: Evaluate the following integrals. (csc 0)(1+ sin? 0 + sin 0 cot? 0) de a.

A: This question is based on indefinite integral.

Q: sin(x²) 1+0- e2r – 2x – 1° Evaluate lim |

A: The objective of the question is evaluate the limit.

Q: +00 Q11: Given that f f(x)dx = 1 where f) - x>0 . The value of c is %3D ISO a) + b) 1 c) - 1 d) 3

A:

Q: 3. Evaluate: lim x-0 (sinx

A: According to Bartleby guidelines we are supposed to do only one question. If you want more to be…

Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at xo = 0. (In 2 z…

A:

Q: 4. § 12×+1dx =. 5. S =dx= -4 %3D . S-3x-1dx vie 6.

A: LetI=∫ 12x+1dxI=∫ 12x.121dxI=∫ 12x· 12dxTake the constant outI=12·∫ 12xdxWe know that…

Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

A:

Q: 2у — 4 dy 2 + 49 с.

A: To evaluate: I=∫2y-4y2y+2dy=-∫4y-2y2y+2dy=-∫22y-2y2y+2dy=-∫2y-12y+22ydy=-1ln 2∫2y-12y+22yln 2dy

Q: dx 2+

A:

Q: 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of…

A:

Q: .C find the firet order parhal dervohve f 4.5 1. z) = e 32 W="y - 10y2³ + 432 hCs, t) =° t?In ts) +…

A:

Q: Using Laplace transform to solve the IVP: y" – 9y = e *, y(0) = 0, /(0) = 0 %3D we find the solution…

A: The given IVP is y''-9y =e-3t,   y(0) =0, y'(0) =0 To solve the problem we must know the following…

Q: Assuming that out of 200 documents, 40 documents are relevant. A search engine returns 30 documents,…

A: We have to calculate the recall percentage.

Q: Find the sum of the first 100 terms in the arithmetic series 1+2+ 3+4 + ... + 100.

A: To find the sum of first 100 terms of given arithmetic  series.

Q: Find the derivative of the function at Pn in the direction of A. f(x.y.z) = xy + yz + zx, Po(2, - 2,…

A: The  derivative of f at the given point is given below.

Q: A 15-foot ladder is leaning against a wall. If we pull the ladder away from the wall at a rate of…

A:

Q: 4 4 Use the transformation u= 4x + 3y, v=x+3y to evaluate the given integral for the region R…

A:

Q: I. Find the Laplace Transform of the given function using the definition of Laplace Transform a.…

A:

Q: 1) (3,4), (4,3) Ans. Independent

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Q: dz dz and ду IV. Suppose z is a function of x and y, and tan Vy? + x² = z"e©y. Solve for

A: We have to Solve as per given conditions.

Q: Using the definition of differentiation, find the value of f'(a) if f(x) = sinx

A: Topic = Derivative

Q: h) Write an equation for a function with roots: 5, -7, 0 Write an equation for this same function if…

A: Solving the problem by finding the equation.

Q: V9 – x² .2 .2

A:

Q: Sketch the region of integration and evaluate the integral. 1 y || 15y5 e xy dx dy ... Sketch the…

A: To sketch the region of integration and then solve the given integral.

Q: Determine the angle between OR = (1,-2,3) and OT = (5,-3,2) %3D

A:

Q: Pr. #3) Prove that the limit does not exist. cos(4ry)- 1 lim (x.v)-(0,0) 2r + 3y4

A:

Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = x2 +x+1, a=2 O A. P3(x) =7+5(x- 2)…

A: f(x)=x2+x+1f(2)=4+2+1 =7f'(x)=2x+1f'(2)=4+1 =5f''(x)=2f''(2)=2f'''(2)=0