What is the area under the graph of y = 2- x on the interval -2, 1]? X 543-2 44 1 2 4 5 O 6 13 15 548 3/2

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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A: The hypotenuse of a right triangle is 45 in.The sum of the lengths of the legs is 9 in.

Q: 1. Consider the graph of the function f(x) = 1.a. Is the function f (x) continuous at x = 1? Justify…

A: We need to find if the function is continuous or not in given interval.

Q: Use the Quotient Rule to find the derivative of the function. See Examples 4 and 6. 6t? - 5 f(t) :…

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Q: Solve for what is asking (show complete solution). Your final answer must be in POLAR FORM. 2. Find…

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Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

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Q: (2x3 – xy? – 2y + 3)dx - (x²y + 2x)dy = 0

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: Find the length of the arc from 0 = 0 to 0 = 2n for the cardioid r = f (0) = 2 – 2 cos 0.

A: Solution if r=fθ  has a continuous first derivativefor α≤θ≤β then length of polar…

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Q: Find the curve given by x = vt and y =(? – 4), t 2 0 find the slope and concavity at the point (2,…

A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0

Q: Find the area of the region between the graphs of f (x) = 3x3 – x² – 10x and g(x) = -x2 + 2.x, %3D -…

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Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: Give the curve r = 3 cos 0 a) Find the points on the given curve r = 3 cos 0 where the tangent line…

A: Explanation of the answer is as follows

Q: Consider the following function. f(x) = -x2 - 10x – 9 Find its average rate of change over the…

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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: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 6) %3D

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

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Q: (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the ezact answer.…

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Q: Find the mass of the sphere x2 + y2 + z2 = a2 where the density at any point is two times the…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

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Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t < T L = ||

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Q: Find the gradient of the function at the given point. 2 = In(x2 – y) - 9, (2,3) Vz(2, 3) = Need…

A: This is a problem related to derivation. Please follow the procedure given below for solution.

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

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Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

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Q: Q1. Choose the correct option: a) Let f(x) = |x]. Then at x = 0, the function f(x) is: %3D (A)…

A: This is a problem of limit and continuity parts. Please find the solution below.

Q: Consider the following. u = (6, -1, 0) v = (-2, 3, 0) %3D %3D Find u x v. Determine ifuxv is…

A: Let's find.

Q: C. VARIATION OF PARAMETERS 1. (D² + 1)y = secx tanx 2. (D2 – 3D + 2)y = 1 1+e-x

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Q: Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

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Q: Find the Taylor series centered at r 3 for the given function. f(r) = In(x + 2) a) Find the…

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Q: Step 2 6i If x = -2, then each x = -2 + jAx = -2 + 6i Step 3 Using (1 + 3x) dx = lim (1 + 3x,) Ax,…

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

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Q: I need some help with this question. Thank you :)

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Q: Find u v, u·u, ||v||², (u · v)v, and u · (3v). (5, -2, 4), v = (0, 7, 5) U = (a) u V (b) (c) ||v||?…

A: The given vectors,  u=5,-2,4, v=0,7,5

Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

Q: 里() t² + 5 1 lim t一+05t2 +6'2t (?, ?)

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Q: The population of a southem city follows the exponential law Use this information to answer parts a…

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Q: E(0.1)" -1 + (0.9)"] n=1 Determine whether the given sequence converges or diverges. If it…

A: Given series ∑n=1∞ (0.1)n-1 +(0.9)n

Q: 6) (7 tarr-3/2 x secdx dx

A: Here we have to solve the given integration.

Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. 2i 17j…

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Q: MULTIPLE CHOICE. Read and analyze the questions then write the letter that corresponds to your…

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Q: Consider the following differential equation. (x2 + y2)y′ = y2 Let  f(x, y) =  y2/x2 + y2 .  Find…

A: This is a problem of differentiation of the function. Based on the general formula we will answer…

Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t< T L = %3D

A: To find the arc length of the parametric curve.x=8 cost, y=8 sint, z=6t; 0≤t≤π

Q: Question A spherical balloon is being filled with air at the constant rate of 10 cm'/sec. How fast…

A: This is a problem related to rate of changes. Based on the formula of volume of sphere we will…

Q: Give the curve r = 3 cos 0 b) Find the points on the given curve r = 3 cos O where the tangent line…

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

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Q: A racecar travels northward on a straight, level track at a constant speed, traveling 0.750…

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Q: 8. xy +y2 - x2y' 0

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Q: Solve the given differential equation by separation of variables. dy - ху + 4y — х - 4 xp ху — 5у +…

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