/ Fullscreen 2. Find the area between the parabola y = x² – 1 and the line y = x + 5. Use integration method, Figure: Solution:

Q: Ship A is 50 nautical miles west of ship B. Ship A is heading east at 10 knots and ship B is heading…

A:

Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

A:

Q: 3 Consider the function f(x) Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(æ) =…

A: Here, the given function is: f(x)=5x3-3x6

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. CSC x…

A:

Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A:

Q: 6. (9x-6x'+7x²-Sx+15 dx 3x

A:

Q: Find the intervals on which f is increasing and decreasing. f(y) = sin y - y cos y on 2' 2

A: Find your answer below

Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…

Q: 6. The two figures are similar and regular solids. Find their mass if the sum of their mass is 120g.…

A: Given information: 1. Given pyramids are regular pyramids. 2. Both pyramids are similar. (Hence…

Q: 18. SHOW ALL WORK Find the square roots of - 1 + iV3. Leave answers as exact values. No decimals.

A:

Q: Find the direction cosines and angles of u and show that cos a + cos ß + cos y = 1. (Round your…

A:

Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

A:

Q: Let ā = (– 1, 4) and b = (4, 5). Find the projection of b onto ä. proją b > Next Question

A: answer is in next step

Q: 3. Is the function f(x) = csc2 + sec x- cosr even, odd, or neither? Show algebraically. %3D 4. Write…

A:

Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: 2 -x Evaluate lim x-2 x5 - 32 1/-60 O 1/80 O NONE OF THESE -80 O -1/80

A: The given limit,                 limx→22-xx5-32

Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

A:

Q: 4. So -dy Vy+1

A: To evaluate: ∫01yy3+1dy Substitute y3=u2⇒13y-23dy=2u du⇒13u4dy=2udu⇒dy=6u5du. As y→0⇒u→0, y→1⇒u→1…

Q: Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

A:

Q: Consider the function y= >x3 – 9x + 4. a. Sketch the graph of y= x3 – 9x + 4. b. Find and describe…

A: Let's find.

Q: Given the graph of the function below. Find the limit of the function as x approaches 5. * (3, 4)…

A: From the given graph, we have to find the limit at x=5

Q: Let <0,4,27 < 3, 0 , 1) What is the having the same direction B- ZA + c ? unit vector as

A:

Q: Evaluate the line integral fe 3y dx + z? dy + (25 - x) dz over the quarter of the circle of radius 5…

A:

Q: For the sequence defined by: a1 = 2 2 + 1 An %3D An+1 Find: a2 %3D a3 = %3D %3D esc ->

A:

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A:

Q: nd an equation of the tangent line to the graph of the function at the given point. 3x +5 f(x) = x -…

A:

Q: Question A vertical cylinder is leaking water at a rate of 8 m³/sec. If the cylinder has a height of…

A:

Q: y(x)=asin2x+bcos2x, where a and b are arbitrary constants, is solution of the differential equation…

A:

Q: Exercise 1.11: For each of the following differential equations, identify its order, degree, type…

A: Highest order derivative in Differential equation is called order of differential equation .  Degree…

Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

Q: 1. Find the rate of y with respect to x at the point (1, 7) if 7y – ry = 4. dy da

A:

Q: Let y = 2x + 2x +3. If Ar = 0.2 at a = 2, use linear approximation to estimate Ay %3D Ay Submit…

A:

Q: CURRENT OBJECTIVE Determine the limit at infinity of a polynomial function Question For the…

A:

Q: Use the identities cos 20 = 1 – 2 sin? 0 = 2 cos? x – 1 to help evaluate the integrals. | NOTE:…

A:

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

Q: From what I know when I was teaching high school students, they tend to use the so called "Two…

A: Let's find.

Q: Find the particular solution: y" + 16y' = 0, when x = 0, y = 0, y' = 0, y" = 1

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Calculate the work done by the field F when the object moves along the given path from the initial…

A:

Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: The given data is: ∫025x+10x2+4x+4dx

Q: Find the area of the triangle with vertices P(1,3,–2), Q(0, 0,0) and |R(3, 5, 1). NOTE: Enter the…

A:

Q: r(t) = cos(Tt)i– In(t)j+ vt – 6k; to =7 |

A:

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). f(C) = - (x + 1) (x² + 1) (3x² –…

A:

Q: Let C = (1,–3, 2) and D = (-1, 2, – 3, ). Find the following. (a) The cosine of the angle between D…

A:

Q: IM Given that > п+1 = 0.47199 determine the value of n3 n + 1 n=3 n3 n=5

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: If 0 = then sin(8) = cos(e) %3D Give exact values. No decimals allowed! Submit Question

A: Given θ=2π3We can convert given raidans to degree. So, 2π3=2*1803=120°120=180-60We know that…

Q: The world population at the beginning of 1990 was 5.3 bilion. Assume that the population continues…

A:

Q: The radical center does not existif the circles are concentric TRUE FALSE

A:

Q: 4. S ( 12 x³ + 15 x - 20 ) dx 5. S 10 x2/5 dx 6. § 3 ³V x8 dx 7. S ( 8 + 2 dx x3 x4. 8. S ( 2x³ -…

A: