converges or diverges. α) by apply the Limit Comparison Test to determine whether the given series Σ (7) Σ Σ sin α n=1 sin(1/n) √n

Q: -1 19 1,0 1,0 3

A: The given graph is:

Q: A curve passes through the point (0, 3) and has the property that the slope of the curve at every…

A: The curve passes through point ( 0 , 3 ) The slope of the curve at every point p is twice the y co…

Q: Find the locations of any absolute extrema for the function whose graph is shown to the right. At…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the domain…

Q: nd the open intervals where the function is concave upward or concave downward. Find any inflection…

A: If f ''x>0 then fx concave upwards.If f ''x<0 then fx concave downwards.Inflection point where…

Q: . Determine the corresponding Cartesian equation. [ L1: = [4,-3, 5] + t[2, 0,3], t € R and L2: 7 =…

A:

Q: Consider the function. f(x, y) = 18 – Find a unit vector u orthogonal to Vŕ(9, 5). U= Calculate D…

A:

Q: 17. Find the unit vector ofd = [–3, -7, 4]. a) [-3,-7,4] b)=[-3,7,4] 7 4 示

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: Can someone explain how -2(.003)x +120 turns into 120/.006 please? It's the last step and i don't…

A: .

Q: The graph of f(x) is shown below. 12 8 4 0 -4 -8 -12 (a) A NE 2-4-6-8-10-12-14 Use the graph to…

A: Integration is the area between the curve and the x-axis (when dx exists). So we can break the area…

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: find the absolute maxima and minima of the f(x) .

Q: Find the first partial derivatives of f(x, y) = sin(x − y) at the point (-5,–5). - A. fz (-5, -5) =…

A: Here we have to find the partial derivative of the given function  f(x,y)=sin(x-y) at a point…

Q: The second edition of a textbook was 491 pages long. By the time it got to the sixth edition, the…

A: Let  n  = number of edition  The second edition of a textbook was 491 pages long. By the time it got…

Q: The graph of a function f(t) is given below. 100 80 60 40 20 0.5 O -98.35 O 100.12 93.47 O 71.84…

A: Area by integration

Q: The graph of f(x) is shown below. 12 8 4 0 -4 0. -8 -12 Z A NI 4. 6-8-10-12, H Use the graph to…

A:

Q: 10. Determine the equation of the tangent to y = x² - 4√x at x = 4.

A:

Q: Estimate the area between the curves y=2x   and   y=0.5x^2 Use a graphing calculator.

A:

Q: 0 71 ² sinos sin² 0 dp do pdo

A: Given that a triple integration and we solve this integration by using general property of…

Q: This question concerns the following exercise. Exercise Prove that the limit e sin(3x) 20 giả –sinh…

A: Limit and continuity

Q: 29. Indicate on the (x, y)-plane which ordered pairs (x, y) satisfy the following systems of…

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

Q: 2 2 [² F(x) dx = [² f O True O False f(t) dt.

A: ∫02f(x)dx=∫02f(t)dt

Q: Follow-up Questions 1. Explain why log, 1=0. Hint: Use exponentials! 2. Explain why log, a' = x is…

A: These are multiple questions. And we can do only 2 so i am doing only first you can repost another…

Q: FInd the tangential and normal components of the acceleration. r(t) >= [10sm &t+3] ₁ + [10 cost-2]j…

A: We have differentiate given vector to find velocity vector and again differentiate to find…

Q: Find the linearization of the function f(x, y) = x√√y at the point (5, 49). L(x, y) =

A:

Q: The figure shows the velocity of an object for 0 ≤ t ≤ 12 and the rectangles used to estimate the…

A:

Q: Write the equation for the plane. The plane through the points P(5, -3, 10), Q(-3, -2, 29) and R(-1,…

A:

Q: Determine the equation for the horizontal asymptote for the graph of f. 3x²-x+2 52x²+x-5 a. lim x→∞…

A:

Q: Find a parameterization (z(t), y(t), z(t)) for the curve y=4-3x that is parallel to the zy-plane.…

A: A curve y = 4 - 3x4 .  Which is passing thought the point (0, 4,-2) and parallel to xy-plane. When…

Q: 8. The position function of a particle is given by s(t) = 2t³ + 4t² — t, where time, t, is in…

A: Given, xt=2t3+4t2-t a.  To find the velocity function, differentiate the position function with…

Q: If f(x) is even and 5 [₁(f(x) - f(x) 8) dx = 8, find -5 5 [²³F(x) f(x) dx.

A: ∫-55fx-8dx=8 ∫-55fxdx-∫-558dx=8 ∫-55fxdx-8∫-55dx=8 As, ∫dx=x ∫-55fxdx-85--5=8 ∫-55fxdx-8×10=8…

Q: 20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8)

A:

Q: woman drives 10 miles, accelerating uniformly from rest to 60 mph. a) Graph her velocity versus…

A: The formula for the acceleration is rate of change of velocity, ie. a=vf-vit

Q: Answer true or false. (a) If ²f(x) dx = 6 and g(x) = 2f(x), then • в'я O True O False (b) If a = b,…

A:

Q: Find the length of the curve on the given interval. r = 2 a cos 0 0 ≤0 ≤ T Arc Length = 2π[? ] Hint:…

A:

Q: 7. Find all solutions to the equation cos x secx = √2 cos x in the interval [, 2π).

A:

Q: Find the derivative of: y= (x-1)^6(x^4-x-50)^7

A: y= (x-1)^6(x^4-x-50)^7

Q: A price ceiling is given along with demand and supply​ functions, whereD(x) is the​ price, in…

A: D(x)=92-x, S(x)=26+0.5x, Pc=34

Q: 5. The conjugate of 2√7-√√3 is: a) √3-2√7 b)-2√7 + √3 d) 2√7 + √3 c) √7 + √3 6. In R³, the standard…

A:

Q: 7. 8y = x², y = √x; about the y-axis hout the x-axis

A: Given curves are: 8y=x2 and y=√x We have to find the volume expression when it is revolving about…

Q: Find the directional derivative of f(x, y, z) = 2³ - x²y at the point (-1, -2, 4) in the direction…

A:

Q: Find the partial derivatives of the function fx(x, y) = fy(x, y) = = f(x, y) - 5y - x -7x-5y

A:

Q: Following function be f(x,y) = x2 + y2, with x(s, t) = (s + 1) / t and y = (t2 + 1) / s. Determine…

A:

Q: In AABC, A = 48°, AB = 27 feet and BC = 21 feet. How many such triangles can exista

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Given: f(x)=9+17x-12x2 We are required to find: The critical numbers of the function.

Q: The velocity function of an object is given below. Velocity is measured in feet per second and time…

A: Application of integration

Q: Calculus Connections Project 1: Proving Properties of Logarithmic Functions (Using Properties of…

A: These are multiple questions. And we can do only 1 so i am doing only first you can repost another…

Q: Evaluate

A:

Q: Find the limit. lim (x, y)-(9,9) y #9 1 0 3 O 15 xv+6y-9x-54 y-9

A:

Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P…

A: PV=CP=150 kPAdPdt=20 kPa/minV=600 cm3

Q: use the parameter to write eah rectngular equation as a pair of parametric equation   y= x^2/4 +…

A:

Q: 110 1.0

A: