Solve the following equation: 16ª = 8ª+1 O 3 O-3 O 1

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = i

A:

Q: What is the value of the slope of the tangent line to the graph of y at the point (-1, -) O 1/2…

A:

Q: Qeustion 1 Let f(x) = x³. 1. Choose right endpoints in the Riemann Sum to express the area under the…

A: fx = x3∫01fxdx =limn→∞1n ∑i=1nfxi ; where xi = in                                     1∫01fxdx…

Q: Given: -(-3)"(х — 2)" Vn + 2 n=0 7 Use Alternating Series Test to show that the series converges…

A: See the answer below

Q: Determine if the improper integral In (x²) dx converges or diverges. If it converges, find its valu

A:

Q: 6x – 8x² – 5 · dr (2r – 1)(4r² + 1) (c)

A: Student has specifically asked for the solution to the Question(C). Hence that problem is answered…

Q: x2 — бх + 9 dx V6x – x2

A: We have to find value of given Integral

Q: I. Evaluate the following integrals. 1 1. -d.x x(9 – In² æ)5/2°

A: Given

Q: 4). | (5 sin 2x) dx = 2

A:

Q: Solve the problem. wensor.bru 28) Determine the sign of the trigonometric values listed below. (i)…

A: we know that sin θ   is negative in 3rd  and   4th  quadrant quadrants. tan θ   is negative in 2nd…

Q: Q2) Solve the D.E xdy + (2y – xª + 3x)dx = 0

A:

Q: Convert dzdydx Into an integral of cylindrical coordinates 45 hardzdrde Option 1 Option 2 Option 3…

A: To convert the given integral into cylindrical coordinates.

Q: Are the lines x = 11–10t, y = 10–5t, z = 4–0 O No O Yes

A: Given: x=11-10t,y=10-5t,z=4-6tx=5-11t,y=5-t,z=9+8t

Q: alculate the integral, assuming that 6 f(x) dx = -13 and f g(x) dx = 36. %3D %3D Give your answer as…

A:

Q: 1 Find the sum of the following convergent series: > L n? – 3n + 2 - n=3

A:

Q: the differential equation dy/dx + y/x = y^2 is solved via the substitution z=y^-1, the resulting…

A:

Q: Which of the following vectors are not linearly independent? 日L O B O A

A:

Q: Find y' if 3x2- (ry?) = 2y.

A: y' = ? 3x2 -(xy2)1/2 = 2y3 3x2 - x1/2y = 2y3 differentiate with respect to x 6x - y/2x - xdy/dx =…

Q: Why do we most often settle for just answering if a series converges instead of trying to find its…

A: This is a problem related to series and sum calculations. Based on the general concepts we will…

Q: 8x2 – 5 dx (2 — 1)(4г2 + 1) 6х —

A: To sove the following integration by using partial fractions.∫6x-8x2-52x-14x2+1 dx

Q: Sketch the graphs of the function f and g f(x) = x2 + 2, g(x) = 1 Find the area of the region…

A: Sketch the graphs of the function f and g f(x) = x^2 + 2, g(x) = 1 Find the area of the region…

Q: Find dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

A:

Q: Convert the angle in radians tc 11) 7.09 12) V6

A:

Q: Vx2 – 4 dx

A:

Q: Find the value of 7x²e-3 Determine whether ) (7n’e- ) n=1 Enter C if series is convergent, D if…

A: Let's find.

Q: 2.x3 – x² + 2x – 2 dx x² (x² – 2x + 2) - -

A:

Q: To test the series - 4n e for convergence, you can use the Integral Test. (This is also a geometric…

A:

Q: IV. Determine if the given is convergent or divergent. n Σ #2. (n² + 1)2 n=1

A:

Q: If uxv=uxw, u÷0 then O None of the choices O v=w+ ku O u=v+ kw Ow=u+ kv

A: u x v = u x w v = w but u is any other value so  v = w + ku

Q: O Use the Fundamental Theorem of Calculus to find the derivative of the function h(x) = cos 0 de.

A:

Q: Find the derivative of the following functions and simply it whenever possible. y = ln(x+3)4

A: Please see the answer below.

Q: : s ech[In cosx]tanx dx Evaluate: A None - 2 tan-1(cosx) + C 2 tan -1(e cosx) + C CoSx (D - 2 tan…

A:

Q: lim (sin r)tan z T/2

A: Given problem :- Identify the indeterminate form and evaluate limx→π-2sinxtanx

Q: m m 2m + 1. m=1 т m 2m + 1 m=1 Do the following converge or diverge?

A:

Q: Consider the following. u = (-2, -6, -7), v = (-8, 1, 9) (a) Find the projection of u onto v. (b)…

A:

Q: Given: an = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent. (a)…

A:

Q: 2. Find dy/dx: a. 3x? – (xy²)½ = 2y³ b. у%3D (сosx — ях)4x*

A:

Q: Find the area of the following regions. Graph the function and indicate the region in question: 2)…

A:

Q: 570 8. The demand function of an electronics company’s car stereo is p(x) = . Find the 2x+7 consumer…

A:

Q: 00 3n+1 6n-1 n=0

A: topic - geometric sequence

Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 at time t = 0, what is the…

A:

Q: 6. Find the surface area generated by revolving the curve x = 5 cos' t, y = 5 sin' t, 0sts, about…

A:

Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx 0

A:

Q: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

Q: Use upper and lower sums to approximate the area of the region using the given number of…

A:

Q: Q4) Find plane area inside the polar function r 2 and outside the polar function sin -0) +1 in first…

A:

Q: Evaluate: x2 1. dx (x²–25)7 5

A: LetI=∫x2x2-2552dxI=∫1x2-2552x2dxApply integration by…

Q: I. Evaluate the following integrals. 1 1. d.x " J r(9 – In² r}5/2"

A:

Q: Determine whether the following series is convergent or divergent. 3- Vn (a) n=1

A: Solving

Q: Determine whether the given converges or diverges. n 2n +1 n=1

A: We can solve this as follows: