5. Use differentials to app. .. the value of V(3.01)² + 2(0.99) – 3 in four decimal places. o 5. Find the dimensions of the closed rectangular box of largest volume with surface area of 16 m². What is the maximum volume of the box?

Q: 9х2— 6 To evaluate dx using the method of partial fractions, the given integral can be rewritten as…

A:

Q: The result of dx IS F(b) – F(a), where Fla) and F(b) are real numbers. What is the value of F(b)?…

A:

Q: Using Trigonometric Substitution  ∫ dx/ (x^2+x+1)^(3/2) find f theta

A:

Q: sin- dx 32 cos:주-Scos)+기+ c 35 32 + C COS 7 4 32 32 .coss(수)+C 32 cosS 4 35 Ssin +2 +c

A: The correct option is (3).

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: Tutorial Exercise A population of a particular yeast cell develops with a constant relative growth…

A: Let's find.

Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t < 6 V2t; 0<t<6 x = L =

A:

Q: A/Certain values of x and log1o x are (300, 2.4771), (304, 2.4829), (305, 2.4843) and (307, 2.4871),…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Compute the given integral. dr 16x2 + 1 +C

A: Here is the solution:

Q: What will you factor out from the integrand of csc°(3x)dx so that you can transform it to its…

A: the given integral,         ∫csc6(3x)dx

Q: TRUE OR FALSE. The parametric curve x = f(t), y = g(t) has a vertical tangent line at a point where…

A: The parametric curve x = f(t), y = g(t) has a vertical tangent line at a point where t = 2 if f'(2)…

Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

A:

Q: Evaluate the integral 20 2) dr by making the substitution u 2. NOTE: Your answer should be in terms…

A:

Q: dx Using trigonometric substitution S = sin(0) + C, express the answer in terms of x. 3 (x²+x+1)7

A:

Q: For mutually exclusive events R1, R2, and R3, we have P(R,) = 0.05, P(R,) = 0.5, and P(R3) = 0.45.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

A:

Q: Find the area enclosed by the lemniscate with equation r = 289 cos(20). Choose your limits of…

A:

Q: QUESTION 17 2x³. Consider E* s2x²-x²+x+2 x4 + x³ D dx find A+B+ C+D- dx = x2 X +1 0 5 2. O O O O

A:

Q: S2x²-x² + x+2 2x3- x4 + x D |dx find A + B+ C+D· x+1 Consider O 2 O 5 O 4

A: Here is the solution

Q: 4. Given [2r + 5], 4- 2x 1² – 2x' if r < -1 f(x) = if –1<x< 2. sin(r – 2) 2 if r 22 a. Discuss the…

A:

Q: Integral 1.

A:

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We find the local extrma using first derivative test by checking the nature of f'(x) at different…

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

A:

Q: Find the derivative of the following function 8. y=(x+3)(2x² – 3x + 1)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: We need to evaluate integral.

Q: Find the point on the line y = 5x + 2 that is closest to the origin. (x, y) = Need Help? Read It…

A: Let's find.

Q: Let A = (1, 0, 2) and B = (6, -2, 3). Find projaB.

A:

Q: Consider the following. 1 f(x) = 2x – 4 x2 y 4 3 y=2 x – 4 2 1 X 8 (a) Write the integral that…

A:

Q: D 2x³ – x² + x +2 = (: find dx - A+B+C+D- Consider - + + + x+1 x4 + x3 O 2 O 4 O 3 O 5

A:

Q: (Ca' - x*

A: we know that,           integration of xn dx = xn+1n+1.  and x-y2= x2+y2-2xy

Q: 3. da I² + 52 Integrate:

A: To solve the following problem

Q: Find the points on the ellipse 5x2 + y² = 5 that are farthest away from the point (1, 0). smaller…

A: To find the points on the ellipse 5x2+y2=5, that are farthest away from the point 1, 0.

Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to…

A:

Q: 3. x2 + 2ху + 3y?

A:

Q: |(x+3)°(x+b)d dx is In 3x2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…

A:

Q: Find the first and the second derivatives of the function. y%3D 6-x

A: The given function is: y=x6-x  =-xx-6  =-x-6+6x-6  =-1+6x-6  =-1-6x-6

Q: Use polar coordinate to evaluate (x² + y* )² dx dy . Leave your answer correct to two decimal…

A:

Q: Find an antiderivative of the function. (Remember to use absolute values where appropriate.) (a)…

A:

Q: Evaluate the integral Scors cot x csc'x dx X CSC X

A:

Q: Consider the following function. f(x) = x3 – 3x2 - 9x + 5 Find the first and second derivatives.…

A:

Q: Evaluate the definite integral. O el4 – 1 i+ (e- – 1) j+; 14 O el4 1 i- ej+ k 14 2 (e4 – 1) i – (e-…

A:

Q: 2x+11 1 Consider f dx = x2+x-6 x-2 x+3 then evaluate S(-dx xp(* - 3 x+3

A:

Q: 'n = 1 n (- 1) "xη Σ 'n = 1 n2 8. 8.

A:

Q: The plane y = 1 intersects the surface z = x° + 5xy – y* in a certain curve. Find the slope of the…

A:

Q: Integrate: I+2dx + C

A: To solvethe following integral part

Q: d太 2.

A:

Q: 4. y²tan y

A:

Q: Let f(1) = r". Use logarithmic differentiation to determine the derivative. f'(z) = f'(1) =

A:

Q: 43x2-2x dx . | Evaluate x + 2

A:

Q: За — 1 (x – 2)(x + 5)

A: