Sdx/(1-2x) = 1/2 In[1-2x + C Select one: O True O False S(8x + 2x) dx = 2x4 +x2 Select one: O True O False

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. sin…

A:

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. 4x? + 9x?…

A: The given equation,     4x2+9x2=25, 2,-1

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: topic - application of derivatives

Q: 4. y = tan¬1(3x) cos 1 4x 5. y =

A:

Q: 4. [V40-4v-v² dv

A: Please see the answer below.

Q: 2)Given :f ( x ) = 2x3-3x2-36x+14 Find the critical numbers.b)Find the relative (local) extrema.

A: Given,            fx=2x3-3x2-36x+14To find : a Find the critical numbers.                 b Find the…

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After 60 minutes,…

A:

Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 + 2.

A:

Q: f (x) = x³ – 23 6x + 1. | e sure to verify the c

A:

Q: Given: -8 17 cote = %3D

A:

Q: The base of a three-dimensional figure is bound by the semi-circle y = V9 x. Vertical cross sections…

A:

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

A:

Q: 2. The solution to the equation below is x = 2 and x = 5. cos? æ – 7 + 10 = 0 O True O False

A: The given equation is:

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (7, 3, 40)…

A:

Q: Use THIS standard form for a tangent plane: - fz (x1, yı) * (x – x1) – fy (x1, yı) * (y – y1) + (z –…

A: Given

Q: Constraint:

A:

Q: 5)Let f ( x ) =3x4 + 4x3 Find the derivative. b)Find the critical numbers.

A: Given problem:- 5)Let f ( x ) =3x4 + 4x3   a) Find the derivative.   b) Find the critical numbers.

Q: Let k(x) = tan−1 x. Find the value of k(9)(0), the 9th derivative of tan−1(x) at x = 0.

A: Given

Q: lim n 4x3-4x+1 lim X→3 x-1 x²-6 lim X→-1 3x-1

A:

Q: Find the unit vector of n = (-4,-3) . 45 35 5 5 4 3 14 3\ 5'5, 45 35 5

A:

Q: 2. Vy-2+1 dy

A: ∫vn dv = vn+1n+1+C

Q: 22+88

A: The given data is: 22+88 To find the value of the sum.

Q: x²+1, xs1 f (x) dx if f (x) = 2, raluate x> 1 A) 10 20 B 3 12 8 D 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4)Given f(x) = 2x/(x2 + 1) a)Find the derivative. b)Find the critical numbers .

A:

Q: Find the limit of s(n) asn→ 0, 4 s(n) = n3 n(n + 1)(2n + 1) 8

A:

Q: 1 dx so that the integral evaluates to - 3x2 integral / Ae2*- 2x³ – 3x² Replace the letter A in the…

A:

Q: dy S4ト9-とト」

A:

Q: The base of a three-dimensional figure is bound by the x-axis and the line y = -2x +3 on the…

A:

Q: B and C

A: Topic:- application of derivatives

Q: earning Task 1: Determine the derivative of the following. x*y + 2y3 = 3x + 2y %3D

A:

Q: The integral of the given function f (x+6)dx is (x+2)2

A:

Q: Given f''(x) = 4x – 5 and f'(– 3) = 3 and f( – 3) = 6. Find f'(x) = and find f(3)

A:

Q: For 6. the region bounded by the given curves is rotated about the specified axis. Sketch the region…

A: Given

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A:

Q: of

A:

Q: Directions: In implicit differentiation, we differentiate each side of an equation with wo variables…

A:

Q: Suppose we have f (x, y) = x + 1' What is the level curve for f (x, y) = 5 ? (a) a parabola (b) a…

A: Let's find.

Q: Choose the correct speed and direction of a plane with a velocity of (5,-12). 13,113° 17,293°…

A:

Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2 – 3x². h None of these -X 6x O -6x O 3x

A:

Q: Y = 2 Arccos ( 1 -) + v4x – x²

A:

Q: The integral of the given function f x2 dx is (9-x2)2

A:

Q: Suppose the position of a particle is given by parametric equations x(t) = t³-2 and y(t) = 5t2. %3D…

A:

Q: 1 Зех [e2n* + 23c] dx

A:

Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x) - cos (2x) 2. y =…

A:

Q: dx + (x – y + 4)²dy = 0

A:

Q: You fianested $10o00 pt 32 pinterest fer year, fomfounded Seanic prnuallye Aftea'Houwmosnig years…

A: topic - compound interest

Q: Suppose the position of a particle is given by parametric equations x(t) = t3-3 and y(t) = 2t2. (a)…

A: Solution: x(t)=t3-3  and y(t) = 2t2

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A:

Q: Given (x,y)=4xy−x4 −y4 −3 Find the relative maximum, relative minimum. and the saddle point of f (if…

A: