Exercises To Solve [No.5] dx OS (x-1) √X²2X-3 dx 3-2x-x²

Q: a) 66, 54, 42, 30, ...

A: The given sequence,      66, 54, 42, 30,.....

Q: b. b. y = 2 1+e-x at (0,1)

A:

Q: Arc length: Find the length of the space curve with vector equation r(t) =(4, 3cost, 3 sint ) over […

A: We have to find the arc length.   According to our guidelines we can do only one question so please…

Q: 3x5 3x4+6x³3x² - 6x B с + + x + 1 x+m Consider S А Sx √x-m+A x-m+ 14/3 17/6 6 5 -dx. Using the…

A: solution

Q: 6. Calculate the sum of the series: -396-308-220-132-... + 836

A: We have to find the sum

Q: Advar Ex: If w = f(x,y,z), x=x(r,0), y =y(r, 0), z = z(r, 0), find wr, we? дw dz aw ax дw ду aw

A: We will use chain rule to solve this question.

Q: Use the quotient rule to find the derivative of the following. 2x-3 y= 7x+5

A:

Q: Evaluate the y' and Simplify the answers Inverse trigo functions y = √x² - 4+2arc(csc)

A:

Q: Tercises To Solve [No.5]

A:

Q: Estimate the slope (slope rise/run) of the tangent line to the curve. N 3 4 6 N D-

A: topic- slope of a line

Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx - B) + C? (A) 1 B) 2 C) 0 D 3

A:

Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

A: The function is given by y = x2sinx+xcosx-2sinx To evaluate: The first derivative of the function.

Q: Question 4 What is the value of f(1) - 16B in J x³ Inx dx = f(x) ((1/4) Inx - B) + C? A) O B) 1 (C)…

A:

Q: Consider ·S= x-m+- Sx 3x5 -dx. Using the method of partial fractions, the given integral can be…

A:

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: Given problem:-

Q: (x4 - 4x²y²-y4) dx + 4x³ydy = 0; when x = 1, y = 2

A:

Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

A: We have to solve for single payment.

Q: measured each day for several days. Suppose To test an individual's use of a certain mineral, a…

A: The amount of the mineral remaining in the bloodstream t days after the initialinjection is…

Q: 5. Calculate the sum of the first 23 terms of the sequence defined below. tn 10+ 3n, n E N

A: We have to find the sum

Q: 47. Evaluate: x(x² + 3)5dx A. (x²+3)6 + C 12 B. (x²+3)6 + C C. ²/(x²+3)6 + C D. (x²+3)6 + C

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

Q: 2t Show that f/² sin tdt ≥ 7. (Hint: sin t ≥ ㅠ over [0, 1].)

A:

Q: m-1 1 + m 1 m m+2 ¹tan (+2)(x) + —tan" (x) + C m-1 1 + m 1 m+3 Ɔ+ (*) (1 - 1)² + (x) (1 + m) U²1-…

A:

Q: (x - 3y + 3)dx + (3x + y + 9)dy = 0

A: On solving this we will get

Q: Exercises To Solve [No.5] dx зах 2 x²+2x+5 9x²-6x+5 of

A: "Since you have posted a multiple question. We will solve the first question for you. If you want…

Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown…

A:

Q: Find the general solution to the differential equation dy/dx=x^2/y+3.

A:

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4

A:

Q: The volume of the solid generated by revolving the region bounded by x2= 4y and y2=4x about y=4 is…

A:

Q: iven R'(t) = (4e²t, 2t ,2cosh t), and R(0) = (1, −2, 3), 1+t² find Ŕ(t), and give the parametric…

A:

Q: 18. A radioactive substance decays exponentially: The mass at time is m (t) = m (0) ekt, where m(0)…

A: Concept: Mean life of a radioactive substance: The average life of all of the nuclei of a positive…

Q: line l: x = = and point P(1,0,1). ● Find the set of parametric equations of the line parallel to…

A: Both questions are solved.

Q: If f(x) = 10x + 17, find f'(-3).

A: Given,  f(x)=10x+17 f'(x)=10

Q: 1- Find the inverse of 2=2-51.

A:

Q: Use the slopes of tangents to determine whether the function -6x2+36x is increasing, decreasing, is…

A: Given function, f(x)=-6x2+36x We know that function is said to be increasing when f'(x)>0, and…

Q: d dx A.sinh(Inx) B.–sinh(Inx) sinh(Inx) C.- X -cosh(x) D. X cosh (Inx) =

A:

Q: T/6 3 coss 3x dx

A:

Q: 1-² dx dy dz se ³ 1 xyz 2-fff(x+y+z)dy dx dz TL 3-fff₂y sinz dx dy dz 6 -2

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: The curves C1 and C2 are both symmetric with respect to the polar axis. Each of these curves is…

A:

Q: lim f(z) = #t * NE

A:

Q: Use Simpson's Rule to evaluate the following. n = 10 +3 1 dx J-3 1+x²

A: SOLUTION-

Q: Let u = 1-16x². For the integral with respect to u, one limit of integration will be 1. What is the…

A:

Q: Compute : , log,(cosx) d dx - sin x A. (In 2). cos x 1 B. (In2).cosx -(In 2). sin x C. COS X -In2 D.…

A:

Q: To test an individual's use of a certain mineral, a researcher injects a small amount of a…

A:

Q: 2. Evaluate 3 dx -) S (x+5)(2-3)dx, (b), (c)²-22²-da, J ■) x³ −2x² −4 −1+ int: (c) 1 + ² + ²/1/2 x³…

A: Topic:- application of integration

Q: The integral A / B © S D x² + x dx can be transformed to which of the following using trigonometric…

A: Explained below

Q: dx 3-2x-x² L

A: According to our guidelines we can answer only one question. Other questions can be reposted.

Q: 5) ( cos 'x dx -1 Where: u = cos(x) dv = dx

A:

Q: dx The integral can be transformed to which of the following when trigonometric substitution is…

A:

Q: S₁ + Sa cos²0 de 01/2000 sin ²0 de csc ³0 de + Sc 01/se sec ³0 de The integral dx (x²+4)² can be…

A: We have to solve above integral

Q: Use double integral polar coordinates to find the area of the portion of the surface 3z = xy that…

A: Given problem:- Use double integral polar coordinates to find the area of the portion of the surface…