Two people who want to meet each other will show up independently at a random time between 7am and 8am. They will wait for the other for 10 minutes and if the person doesn't show up they will leave.

Q: dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

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Q: Find the gradient of the function at the given point. g(x, y) = 5xev/x, (8, 0)

A: Follow the procedure given below.

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given lines are, x=8t+2,y=3,z=-t+1And x=2s+2, y=2s+3, z=s+1⇒x-28=y-30=z-1-1=t…

Q: V

A: Follow the procedure given below.

Q: A. Direction: Find the equation of the tangent line of the following functions at the specified…

A: As per our guideline we supposed to answer only first question with  3 subparts slope of the tangent…

Q: Evaluate the following double integral a) Evaluate 8xy dxdy=? 1 b) Evaluate the following integral…

A: A)∫12∫038xy dx dy=∫12 8yx2203 dy=∫1236y dy=18y212=18(4-1)=54

Q: Find an equation for the hyperbola with vertices (+8,0) and foci (+10,0).

A: Here we have to find the equation of the hyperbola with vertices ±8,0 and foci ±10,0

Q: 6 Write the equation in general conic form of the circle with center (2, 3) and r = 7 x 2 + y 2 -…

A: To write the equation of circle with the given center and radius.

Q: Find the arc length L of the graph of r(t). r(f) = t° i+ t j+V6r k, 3 <1 < 5 L = i

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Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: The first three terms of a sequence are given by 5x +8,-2r+1, x-4 (a) When x = 11, show that the…

A: If the ratio of the successive terms of the sequence is constant then it forms a geometric sequence.

Q: Find the standard equation of the circle whose center is at (2, 2) and that passes through the point…

A: Given: Center=(2,2) Passes through the point (5,7)

Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i+11 sin(t)j + tk; t= T N || ミ|N ミ|N

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Q: An object with an initial velocity of v(1) = 2 has an acceleration of a(t ) = %3D ( 2t – 1) What is…

A:

Q: The volume V of a right circular cone of radius r and height h is given by V =r?h. %3D (a) Find a…

A: Given the volume V of a right circular cone of radius r and height h is V=13πr2h.

Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. (A)…

A: To find the area of the region enclosed by the two curves.

Q: how to convert 27 inches into yards by finding an equivalent rate

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Q: d. dt d Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly…

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Q: What is the largest value of x for which the series (x- 3)" n°87 is absolutely convergent? Yanıt:

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Q: 4+x a) lim- 1+(3+ x)

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Q: 3. Find two different sets of polar coordinates (r. 8) for the point with Cartesian coordinates (x,…

A:

Q: Show the solution.  1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A…

A:

Q: Using the algebraic technique (no graphs!) we learned in this unit, find the slope of the tangent to…

A: Given

Q: Choose the integral that would find the area inside r = 3 sin 0 and outside r = 2- sin 0

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -54 -36

A: In this question we have to find integration by using triple integration.

Q: p(x) = sin x cos x %3D Select the correct response: O tan x O cos r – sin? r 2 O sin? r - cos? a x –…

A: To find the derivative of given function.

Q: Question 10 of 10 sin x g(x) = Select the correct response 1 /x cos x 2x cos x sin x - O Va cos x 1…

A:

Q: 1. The rodius of a circle is 9 centimeters. What is the area?

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Q: Find the volume of the solid that results when the region enclosed ... by the given curves is…

A:

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: f(x)=ln(x2)-0.7xl =0.5xu=21st iteration:  Here f(0.5)=-2.0863&lt;0 and f(2)=0.6863&gt;0  ∴ Now, Root…

Q: the position function, in meteres, of a particle that moves along a straight line is…

A:

Q: Describe the graph of the equation. r = 6 sin 9t i – 6 cos 9t j O Itis a circle of radius 6 in the…

A: Given curve  r= 6sin(9t)i-6cos(9t)j =xi+yj So, x=6sin(9t) , y= -6cos(9t)

Q: Use double integration to find the volume of the solid bounded by the cylinder x? + y? = 64 and the…

A:

Q: 3-x, x + 1 1. Let f(x) = 0, x = 1 Determine the following limit using the graph. limf (x) x-1 6 + 3.…

A: We can answer the question in the below steps.

Q: f the limit of the nth term of a series converges to 0, then the series onverges.

A: This is the false statement. So i am providing an example in my handwritten note, so that it'll be…

Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 are Select one: yi…

A: characteristic polynomial  r2 + 6r + 9 =0 (r+3)2 =0 r = -3 solution of this eqaution is y(x) =…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Directional derivative

Q: 2) Zy? + X :0 + x -1 :0

A:

Q: d d alculate dt r:(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt ne product directly…

A:

Q: Match the vector field with its graph. F(x, y) = yi KE y -5+

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Q: Question- Let R be the region bounded by x= y - 25, and x= 1. Then draw the region a evaluate the…

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Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

A:

Q: -3 d) de e) co f) dx x-2 + 4 cot x dx e2x - 1

A: Solution in step 2

Q: 1 (x-1)(2x3+2x2+3x+2) x3 (x+1) dx

A:

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: This question can be solved using the concept of point of inflection.

Q: Consider the following functions. f(x) = 6x – 5, g(x) = !! 3. Find (Fo g)(x). Find the domain of (Fo…

A: f(x)=6x-5  , g(x)=x3Consider(f∘g)(x)=f(g(x))             =f(x3)             =6x3-5…

Q: Determine whether the geometric series is convergent or divergent. If it converges, find its sum. 80…

A: Geometric Series : (3/4)0 + (3/4)1 + (3/4)2 + (3/4)3 + (3/4)4 + ........... 1 + 3/4 + 9/16 + 27/64 +…

Q: Find thee inverse function. of fcas_ 2x+3 らメープ

A:

Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A:

Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

A: We have to find x-intercep for the given Questions