The force F has a magnitude of 8.7 kN. Express F as a vector in terms of the unit vectors i and j. Next, determine the x and y scalar components of F. F = 8.7 KN 28° Answers: F- (i Fx= Fy= A (-5,-7) i y, m 1 I MI x, m i+i kN 2 kN 2 j) kN

Q: To find the blue shaded area above, we would calculate: b [ f(x) dx = area Where: a 1 f(x) ■ Area ■…

A:

Q: Given vector u= (4, -1) and v = =(2, 2), determine the value of u - 4v. Click and drag copies of the…

A:

Q: Find the derivative of the following function. f(x) = e⁹x + 7 In (5x − 2) 9x f'(x) = (Simplify your…

A:

Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

A: Given: y=4+3x We are required to find: An inner function u=g(x) and an outer function y=f(u) such…

Q: Physicians often treat thyroid cancer with a radioactive form of iodine called iodine-131 (1311).…

A: For a patient treated with 125 mCi (millicuries) of I131, the radioactive level  R (in mCi) after t…

Q: A population numbers 15,000 organisms initially and decreases by 5.6% each year. Suppose P…

A:

Q: (b) For what value(s) of a can you form two triangles? 9 9 0 < a < 15 (c) For what value(s) of a…

A: We have find the conditions for one triangle ,two triangle and no triangle.

Q: Consider the following curve. r² = sin(20)

A: We have to find out the area of the shaded region.

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 6 sin(t). The initial…

A:

Q: Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. x-1…

A:

Q: Write a polar equation of a conic with the focus at the origin and the given data. 7 3' hyperbola,…

A: The polar equation of a conic section with  focus at origin, eccentricity e and the equation of…

Q: Use the definition of continuity to determine whether f is continuous at a. 1 8) f(x)=- x2-7x a=-1…

A: Given, fx=1x2-7x To determine whether the function f(x) is continuous at x=-1

Q: Find f'(x) for the following function. Then find f'(2), f'(0), and f'( − 7). f(x): = - 6 X f'(x) =…

A: f(x) =-6/x Find f'(2), f'(0) &amp; f'(-7)

Q: Determine whether the series's converges or diverges

A: we have given series ∑n=1∞ 9n3+10n

Q: The figure gives the time it takes a Mitsubishi Eclipse GSX to reach speeds from 0 mph to 100 mph,…

A: The graph plotted gives the times that it takes a Mitsubishi Eclipse GSX to reach speeds from 0 mph…

Q: 2 dx 2-x

A:

Q: Test.QuestionSheet State the domain, vertical asymptote, and end behavior of the function. Enter the…

A:

Q: Find the limit. lim x→-9- lim _6-←x - 8x x +9 - 8x x +9

A:

Q: Find the general solution for the differential equation. dy = = 12xy dx The general solution of dy…

A: dy/dx =12xy Find general solution of dy/dx = 12xy y =?

Q: Calculate the double integral over SS, (x² + 2y)dA, D is bounded by y = x, y = x³, x ≥ 0

A: ∬Dx2+2ydA ,D is bounded by y=x,y=x3,x≥0 Graph

Q: A ski shop predicts sales of S(t) = 14 + 9 cos os (26) thousand dollars during week t of the year,…

A:

Q: Evaluate the following limit x sinh x cos 3x - 1 1. lim x-0

A:

Q: Test the series for convergence or divergence using the Alternating Series Test. √n 4n+ 5 Identify b…

A:

Q: Evaluate the following limit 1 x − 1 1. lim x→1+ 1 ex - e

A: limx→1+1x-1-1ex-e

Q: or So 17 + dt Find the first three terms in the power series for The first three terms of the power…

A:

Q: Show whether or not the following limit exists: lim (x,y) →(0,0) xy ³ x² + y²

A: The given limit is lim(x, y)-(0,0)[xy3/(x2+y6)].

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 7x + 19 between x =…

A:

Q: 4. Using the properties of the exponential function show that lim log x² x-0 =

A: Given that            limx→0log x2=-∞   Applying log rule:        logex=lnx           =limx→0+lnx2…

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial…

A:

Q: ㅠ Si F. ¹ · dỡ where F = (3z, 0, −2x), and C' is given by r(t) = (t, sin(t), cos(t)), 0 ≤ t ≤ ñ…

A:

Q: What is the meaning of int x in #39? Is the solution same on how to solve the remaining problem…

A: What is the meaning of int x

Q: 11,13 The expression log Alog(z) + Blog(y) + Clog(2) where A= can be written in the form B= and C=

A: Given Logarithmic Expression log( x13y13z16 ) Formula used log( xy ) = logx - logy log( xy ) = logx…

Q: = 3 to 6 using a Right Endpoint approximation Approximate the area under the curve y = x³ from x =…

A:

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A:

Q: Given vector v = (2, 4), find 3v. Answer: Submit Answer

A:

Q: The force on a particle is described by 8x³ - 2 at a point x along the x-axis. Find the work done in…

A:

Q: Write an equation for the function graphed below y TY 9

A: Vertical asymptotes at x=4 and x=-2 so in denominator we have function like  (x+2)(x-4)

Q: Find / (+62+3) de + C

A:

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.005t² +0.9t, where…

A:

Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

A:

Q: A model used for the yield Y of a crop as a function of soil nitrogen level N is Y =N/1+9N^2 where N…

A: Y is yield of a crop. N is the soil nitrogen level. Y = N1+9N2N≥0   We have to find the maximum and…

Q: You are given two sets such that a set is not a subset of other. If you have to prove this,how do…

A:

Q: 1 - Use the graph of ƒ (x) = below to find a number & such that |ƒ (x) — 0.5| < 0.2 whenever 0 < x −…

A:

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The…

A: Radius of the silo for minimum cost. *given :- cost of metal dome = 2*cost of cylindrical concrete.

Q: Given vector u = (6, 3) and v = (1, 3), determine the value of 4v – 2u in component form. Answer:…

A: Given vector u= 6,3 and v=1,3, determine the value of 4v- 2u in component form.

Q: Find for the parametric curve c(t) = (Use symbolic notation and fractions where needed.) dy = dx t=3…

A: C(t)= (t-1-4t,3t3) We have to find dy/dx at t=3

Q: What is the common ratio of the sequence 832, 208, 52...? A B C -4 -14 D 4

A:

Q: ind the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. x-16…

A: Find the vertical, horizontal, and oblique asymptotes.  G(x)= x4-16x2-2x

Q: Find the area of the region enclosed by y = 3x and x = 3-y². Use horizontal strips to find the area,…

A:

Q: Simplify the following expression. X X X [ 1 + 2 at (Hint: [ 1 + 2 at = [ 1 + 2 at + J / 1 + 2 at dt…

A: Given that ddx∫-xx1+t2dt. We have to simplify this expression.