H m/HIL= L In the diagram, mHGL 164°, and mIJK = 52º. Determine the value for each of the following. For each one, identify a theorem, corollary, postu- late, or definition that you used. m/HML = m/HMI = m/L= M m/N = K

Q: Find the length of the polar curve r = 8 sin³ (0/3) on 0≤0 ≤π/4.

A: The arc length of a polar curve r=fθ between θ=a and θ=b is given by  ∫abr2+drdθ2dθ Given: r=8sin3θ3…

Q: Write the infinite series using sigma notation. -10 + 10 5 10 + + 25 10 125 + 10 + 625 n

A:

Q: 2. Solve the equation for x. Pay attention to the domain of the natural log: In In x + ln (2x + 1) =…

A:

Q: Level 2: Graphing Inequalities 2) Graph the following inequality. Decide if the points are solutions…

A:

Q: Given that the graph of f(x) passes through the point (4, 10) and that the slope of its tangent line…

A: ginen slope is  2x+7 passes throught  (4,10)∫xndx=xn+1n+1+cslope =f'(x)=2x+7

Q: Evaluate (Hint: First use the substitution u = √x dx √x and then use integration by parts).

A: let u=xdxndx=nxn-1du=12xdxdx=2xdudx=2udu

Q: Un n→∞ Un If lim Σun is divergent. n=1 n= no conclusion can be made. = Both 0 and Un = Un is…

A:

Q: Identify the inflection points and local maxima and minima of the function graphed to the right.…

A: Solve the following

Q: on’t graph. Just what are the inflection points and relative min/max?

A: here , we have some properties of a function f(x) ,  then ,  we have to find its inflection point…

Q: The Maclaurin series is given by the formula f(n)(0)xn fx = [ f(n) (0)x² n! n=0 Find the Maclaurin…

A:

Q: Use polar coordinates to calculate s D √x2 + y2dA where D is the region in the first quadrant…

A:

Q: d/dx(ln|x|)

A:

Q: Determine if the sequence find its limit.) 1 { ( ₁ + 3 / 2 ) ² } 3n is convergent. (Hint: see if you…

A:

Q: 3. Solve the IVP X 7 = (-43) ², x(0) 2 - (-²3) -5 =

A: Solve the following

Q: Use the Divergence Theorem to compute the net outward flux of the field F = (-2x,y, -2z) across the…

A:

Q: 1+ sin.x cos²x -dx =

A:

Q: 9. Determine whether the following series converge or diverge: a) Em=o -2n

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 402 #3 p. 303) A particle is moving on the x-axis with velocity given by v(t) = -3t² + 18t - 15. and…

A:

Q: The forces F₁, F2, F, acting at the same point P are said to be in equilibrium if the resultant…

A:

Q: Select all that apply about an integral. Represents the area between the function, the x-axis, x=a…

A: Option first and second are correct about integral ... Option 3rd and 4th are not correct about…

Q: Consider the indefinite integral (25 - 2)5 This can be transformed into a basic integral by lettin…

A: ∫xndx=xn+1n+1+cdxndx=nxn-1

Q: Find the equation of the ellipse with foci at (0, ±10) and vertices (0,± 8)?

A:

Q: Find the Taylor series generated by fat x = a. f(x) = 4x² + x² +4₁ a = -3 The Taylor series…

A:

Q: A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A:

Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or…

A:

Q: Evaluate the integral 20 fx³² (x³ – 5) 2⁰ da by making the substitution u = x = x³ – 5. + C NOTE:…

A:

Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.019 per…

A:

Q: Let f′(x)=√x−2 and suppose that f(9)=4. What is the value of the constant term in f(x)

A:

Q: Which of the following sequences represents an arithmetic sequence with a common difference d = -5?…

A: Here, it is to find the arithmetic sequence with a common difference d=-5 .

Q: Find the most general antiderivative for the function Note: Don't enter the +C. It's included for…

A:

Q: h I 3) If you want $12,000 ten years from now, how much would you have to invest now at 15% interest…

A: Given query is to find the monthly payment.

Q: The amount of trash, in tons per year, produced by a town has been growing linearly, and is…

A:

Q: Consider the indefinite integral ¹ / = (x5 - 2)5 This can be transformed into a basic integral by…

A:

Q: Below is the graph of a function f. -2 H

A:

Q: sin(2x) = - 1/2 for 0 ≤ x ≤ 2pi

A: Given query is to find the solution for the x.

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A:

Q: 1. Convert each of the following radians to degrees and sketch the angle measure: a. π/6 b. π/4 C.…

A:

Q: D.f'(x) is decreasing at x = | I E. The slope of f(x) is positive at x = F. The slope of f'(x) is…

A: We know f'(x) decreasing when f''(x)<0 The slope of f(x) positive when f'(x)>0 The slope of…

Q: Convert the Cartesian equation (x-3)²+(y+1)² = 4 to polar form.

A: Given equation:- x-32+y+12=4

Q: 1. Y = 2x³ +3 (x4 - 3) ³

A:

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A:

Q: Compute the given integral. farctan(e)de- - +C

A:

Q: A small object is thrown from a balcony. Find v(t), the velocity of the object at time t, if a(t) =…

A:

Q: Use linear approximation to approximate 1.1 to 6 decimal places

A: GIVEN :1.13

Q: (2) Compute the volume of the solid between the surfaces z = 100 − 4(x² + y²) and z = 0. - 4(x² +…

A:

Q: xsec xsecxtanxdx

A:

Q: 1. Find the formula for the inverse function of f(x): f^(-1)(x) Express as f^(-1)(x)= ƒ(x) = √−2x −…

A:

Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

A: let the length of square is   x meter given  dxdt=4 msec.there for area of square is  A=x×x=x2

Q: 29) y = 2x + 1; [1, 3] 9+ 8+ 7+ 6- 5+ 4+ 3+ 2+ 1 A) 7.5 2 3 4 5 X B) 12.5 C) 5 D) 10

A:

Q: Which of the following is the antiderivative of f(x) = tan (A cos x + cotx + C B -In/cos.x+C (C) D…

A: