1. Determine the area of the region under the curve y=x√(x² - 1) 2. Determine the area of the region between y=x²-4 and y = -3x²

Q: 2) S (x³ - 7) dx

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Q: 3. Suppose [ f(2)dx = 36, So r)dr the following: a. b. f f(x)dr 50 f(r)dr = 12, (2ƒ(r) + +12g(r) -…

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Q: Solve, finding all solutions in [0,2x) or [0°,360°). 2 sin‘x+ sinx=0 2

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Q: Use logarithmic differentiation to find the derivative of y y = X X+7 OA. OB. O C. (3)√ 2 7 O D. X…

A: topic- differentiation properties of log used:log(ab)=blog(a)logab=log(a)-log(b)derivative formula…

Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: The parametric equations for the paths of two projectiles are given. At what rate is the distance…

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Q: Find z = f(x, y) and use the total differential to approximate the quantity. (1.96)2(8.98) 2² (9)

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Q: Use la definición de derivada f'(x) = lim 1-0 7x + 2-5 Envie sus computos a Blackboard. De ne For…

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Q: Consider the following. w = xy cos z, x = t₁ y=t5, z = arccos t (a) Find dw/dt by using the…

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Q: 1. Describe what it means for a relation to be a function. Provide an example of a function, and…

A: Description given below with example

Q: = Find the area of the region bounded by the curves y on the interval [0, 1] as seen in the shaded…

A: This question can be solved using the concept of area bounded by curves.

Q: Evaluate cos/dx 2 1) co S

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Q: Question 3 a) b) [ Find the limit, if it exists, or show that the limit does not exist. lim…

A: a)limx,y→0,07x2+2y2yb)limx,y→0,049x2-98xy+49y27x-7y

Q: ections at the given point

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Q: Find the exact values of sin 20, cos 20, tan 20 and the quadrant in which 20 lies. tan 0 = sin 20 =…

A: Solution of given question is written in below steps.

Q: (b) pre every x + 2 if x≤2 2 F(x) = ) + x² = (x +7 if x>2 - CX pie where I on 5) Sketch the function…

A: The Solution is given below

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: Show your complete solution: Evaluate the triple integral pl+y² xdtdydx 1-x S S T 2y

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Q: Evaluate 1) |x-2| dx

A: To find out the integration.

Q: 4. The process of finding a general formula for the slope of a line tangent to a certain curve is…

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Q: D O 1.909 Question 14 Find the length of the plane curve given below. r(t) = 5cos(t)i+5 sin(t)j, [0,…

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Q: onsider the following. w=x^2/y ,  x=t^2 ,  y=t+1 ,  t=3 (a) Find d2w/dt2 using the appropriate…

A: Given :w=x2yx=t2  y=t+1t=3

Q: 2/4 + ²/81 + ²/1/729 t. Ⓒ274

A: 2.Solution:29+281+2729+.......29+292+293+.......this series is geometric series.Common…

Q: Explain whether or not the Quotient Rule should be used to find the partial derivative. Do not…

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Q: 1. f√√x²dx 2. Jdx 3. (2x + 3)² dx (4x²–5x+6) 4. S x² 3 5. f ( t + 1)²³ dt S dx

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Q: 25. If f(5) = 2, then f-¹(2) =

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Q: 4. What are the values of A, B, C, and D so that 1 a. A = b. A = C. A = d. A = HALA00 B= C= B B 1 8'…

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: Find both first partial derivatives z ² = In ( \ ) (No Response) (No Response) az əx дz ay

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Q: The mess in a house can be measured by M(t). Assume that at M(0) : = 0, the house starts out clean.…

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Q: The graph of the *derivative* of F is given below. 0 -1 1 2 F'(x) Given that F(0) = -4, find F(6). 3…

A: Find function f by integrating given function and then eliminate value of constants

Q: b. Stan ³0 sec²0 do

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Q: The region is bounded by the curves of y = x² and x = y². Find the integral in line y = -1. Use…

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Q: Determine la derivada de ƒ (x) = 5 sec x − √√3 csc x - Llene los blancos (sombreados de azul claro)…

A: I have stated the used formulas in the solution

Q: A 10​-foot ladder is leaning against a vertical wall​ (see figure) when Jack begins pulling the foot…

A: Here we have to find the rate of change.

Q: Use a sum or difference identity to find the exact value of the expression. tan 75°

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Q: lim f(x) = 5 and_lim_f(x)=5, but f(3) does not exist. X-3 X-3* What can you say about lim f(x)? X-3…

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = sin x + 1…

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Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(2² +1²) dA…

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Q: 3y What is the equation of the curve that passes through the point (1, 3) and has a slope of ○ y =…

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Q: Use the half-angle identities to evaluate exactly. sin 112.5° sin 112.5° = (Simplify your answer.…

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Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places.…

A: This question can be solved using the concept of convergence and divergence.

Q: Find the indicated limit by using the limits lim (x,y) → (a, b) [f(x, y) - g(x, y)] lim (x, y) → (a,…

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Q: Find the radius of convergence, R, of the series. R = Î n = 1 I = n2n Find the interval, I, of…

A: We have to find out interval of convergence

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: Describe the level curves of the function. z = x + y, c = -6, -5, 0, 1 The level curves are parallel…

A: Solution is given below:

Q: The straight line beams between the radar dish and the drone registers a distance of 32 km. What is…

A: Given: the triangle ABC in which there is 90 degree angle at A      Use: sin(θ)=…

Q: A. B. Evaluate the following integrals using substitution method: (³-1) ²/3 √2 5.² 0 √r sin (1 + x²)…

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