A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form Ax - y + C = 0? Indicate the sign for negative coefficients

Q: (a) x = 4t, y = – 3+ 3t O (x, y) = ( – 3, 0) + 1(3, 4) ai + bj = - 3i + t(3i + 4j) O (x, y) = (0, 4)…

A:

Q: THe rate of U.S. per capita sales of bottled water for the period 1993–2003 could be approximated by…

A:

Q: show

A:

Q: dz (a) Find of the following functions: dx 2+1 +cos y? = sin(y'+ 22z) COS 7 ZX %3D

A: Solving

Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

A:

Q: a. rdt1.0: sending side

A: Note- I am answering the question as per diagram as further details does not mentioned in your…

Q: How many man hours are required to load a freight car with 40 tons of product packaged in 100-lbs…

A: Total load=40 tons 1 ton in US=2,000lbs 40 tons=80,000lbs

Q: 5-e xp 2x 2x e du= 2e2x

A:

Q: Solve. y" + 36y = u;(t), y(0) = y'(0) = 0 %3D S f(t) 9(t) for t > 5* for t < 5 The solution can be…

A:

Q: Given f''(x) 16 sin(4x) and f'(0) = 3 and f(0) = 5. - Find f

A:

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. f(x) =…

A:

Q: y2, the y axis and y 1, rotated about the line y = 2. The rectangular elements are parallel The…

A:

Q: Determine the slope of the line tangent to y = x+1 at x = 1 3x2

A: y = (x+1)/3x2 slope = dy/dx dy/dx = (3x2(1) - 6x(x+1))/9x4 slope at x=1 dy/dx = (3 - 6(2))/9 dy/dx =…

Q: B. Evaluate the following .5 |x² – x - 6| dx -5 1.

A: The question is determine the question is evaluate the definite integral. Note -  As per our…

Q: Consider the series (z – 9)6, (z - 9)8 E4. = (2 - 0)2 + (- 9)“ E, = (z - 9) + +... 3- 2! 9.3! 27- 4!…

A: This question can be solved using the concept of general term of series.

Q: From Rogawski ET 2e section 10.2, exercise 12. Write S = E 1 as a telescoping series and find its…

A: The summation of 1/[n(n+1)] , n from 7 to infinity.

Q: Solve the initial value problem. + x, x > 0; y(1) = 5 y = y = - 2x- +5 2x y = 2x2 2

A:

Q: Find all points the graph of f(x) = 2 sin x + sin?x where the tangent line is horizontal on

A: Solved below

Q: 5. y" – 3y' +2y=0; y1 =e*, y2 = e2x; y(0) =1, y'(0) =0 %3D -

A: Here is the solution:

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

A:

Q: Write the equation of a sine or cosine function to describe the graph. Ty 3 3 3 3 -1+ -2+

A: topic- trigonometric functions

Q: Evaluate. (Be sure to check by differentiating!) 1 dx, x - 2 4 + 2x

A:

Q: The graph of y = 2x1/3 + x4/3 changes its concavity at: 1) nowhere 2) both (0,0) and (1,3) 3) (0,0)…

A:

Q: Use the comparison test to verify that the following series converges: 1 Σ n=1 5+n4

A: We have to check the convergence

Q: Problem 5 Find the general solution of the following equation: y" + 2y'- 15y = 0. Find the…

A:

Q: 28 74.6°

A: Given query is to find the vector components.

Q: Find a formula for the general term a n of the sequence, assuming that the pattern of the first few…

A:

Q: Write the equation of a sine or cosine function to describe the graph. y = || 1 -2 |-3 - -4-

A: The given graph can be obtained by stretching the graph of y = sin x  vertically by a factor of 2.…

Q: ques

A:

Q: Sketch the region of integration. (Select the correct graph.) "In 3 dy dx In y y y

A:

Q: Consider the sum In(2.25) · 0.25 + In(2.5) · 0.25 + In(2.75) · 0.25 + In(3) · 0.25 + In(3.25) · 0.25…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = In(x2 + 5x…

A:

Q: dz(r, s, h, k). / 7. Test for relative maxı.na and minima and classify the critical points of the…

A:

Q:

A: We have to check convergent of series

Q: Find a formula for the slope m of the graph of f at the point (x, f(x)). Then use it to find the…

A:

Q: Evaluate

A:

Q: From Rogawski ET 2e section 10.2, exercise 25. Use the formula for the sum of a geometric series to…

A:

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges…

A:

Q: As shown in the figure below, Ann is standing 36 feet from the base of a leaning tree. The length of…

A:

Q: Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1…

A: topic-  area bounded by curves

Q: 2. There is an element from the group Qu of order: (a)3 (b) 5 (c) 6 (d) 4 The correct answer is (a)…

A: We know order of an element in a divides the order of the group. We know center of Sn is trivial for…

Q: A region bounded by f(x) = 3 - x, y = 0, and x = 1 is shown. What is the volume of the solid formed…

A:

Q: 3. Four inhabitants of a small island return from a vacation infected by a contagious disease. The…

A:

Q: Compute the area enclosed by the curves. You must show your work. 1 y = x, y = x³, %3D 6. 2 312

A:

Q: 2. In each part, match the contour plot with one of the surfaces in the accompanying figure by…

A:

Q: Use the formula k(t) = ||r' (t) × r"(t)|| to find k(t). 13 ||r(t)||* r(t) = t'i + t6j K(t) =

A:

Q: 4. Sx2(x3 -3)³dx dv 5. S7 v+7)3

A:

Q: Find all points on the graph of ƒ(x) = 2 sin x + sin?x where the tangent line is horizontal

A:

Q: Determine how many terms should be used to estimate the sum of the entire series with an error of…

A: Use the  Alternating Series Estimation Theorem and solve the problem.

Q: A distributor purchases industrial fans for $175 each. Its profit is 8.00% on selling price and…

A: Given: Mark up is 30% on the selling price. Hence selling price = 175 / (1 -30%) = $250