after t hours is given by v(t) == 3t"+2t. Find the distance the particle travels during the first 4 hours.

Q: Plot the following functions over the defined domain. Range is at all values of y c. y = x5 + 4x* –…

A: Given function f(x) =x5+4x4-3x3+2x2+x+1   , 0≤x≤5

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = Va2 – x2 R…

A:

Q: Graph 1 Graph 2 Graph 3 24y 6. 4+ 4. + -8-6-4 4 6 -8 -6 4 4 6 2. -4+ -4- -6. -8 -8- OYes OYes ONo…

A: Given that -

Q: 1 dx ((Va)² – 16 2 x² .

A:

Q: Show that la 1 1 1 a 1 - (а + 3)(а - 1)3. - 1)³. %3D 1 1 a 1 1 1 a

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Q: 2" is convergent. The series 2 n=1 h+1

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Q: За - 2 lim x3 - 1 O 2 O does not exist 13 8.

A: lim      (3x-2)/(x3 -1) x -- ∞ here ∞/∞ form so we use la hospital rule we differentiate above and…

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: 立 O EXPONENTIAL AND Table for an exponential function The funcuun g is defined by the following…

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Q: If R is the region bounded by y = x* – 1 and y = -x² – 1, find the volume V(S) of the solid S…

A:

Q: Find the general solution of the following nonlinear first order variable separable O.D.E.: xdy –…

A: Please see the answer below.

Q: cos³ x .3 S dx 1+ sinx

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Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

A:

Q: Sketch a graph of a function that satisfies each of the following. (Feel free to use the circles to…

A: Answer is in step 2 and it is done by using the given conditions.

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti +t²j dt

A: We have to calculate value of given integration

Q: Let f(x) = Vx. Find the equation of the tangent line to f(x) at a = 49 %3D Using this, we find our…

A:

Q: ind, if any, the local maximum and minimum values and the saddle point(s) of the function f(x,y) =…

A: To find, if any, the local maximum and minimum values and the saddle point(s) of the function fx,…

Q: By the series test: n=1 n´ +6n+3 6.

A: To determine whether the given series converges or diverges.∑n=1∞5n2+6n+3

Q: Textbook Videos [+] Given the function below f(x) = V 196x + 539 Find the equation of the tangent…

A: The given function is  f(x)=(-196x3+539)1/3, At x=1.

Q: Which of the following series is convergent? 00 (-1) 4. n=1 O None of them. 00 2(-1) 6. n=1 00 6. 11…

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Q: 5. In antidifferentiation, the formula § x" dx + Cis valid if? %3D (n+1) А. nER В. п# 1,п€ R С. п€…

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Q: Are the following convergent or divergent? Show your work and state the reason 100 11) Ση n=0

A: The summation of n, n from 0 to 100.

Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z = -13. Find the following. 1. A vector…

A: The given planes are: x-10y-2z=3 and 2x-y+z=-13 Let us assume z=t on the line of intersection, where…

Q: x- 1. a. Find the derivative of y =

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain of vector function.

Q: Solve (x² + 1) + 2xy = dy 2 dx x2+1

A: The given equation is;  (x2+1)dy/dx +2xy =2/(x2+1).

Q: Εvaluate: 1. E2. (2) 3i+1 31+

A: You have submitted multiple questions. According to Bartleby policy, I'll solve only the first…

Q: Find the gradient of the function at the given point. Function Point F(x, Y, z) = Vx + y² + z? (8,…

A:

Q: graph of the function arccsc( x

A: We can graph the function as below.

Q: Find the area of the region that is enclosed by the cardiod r = 16 + 16 sin 0. %3D

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Q: (Show your solution) Compute the inverse of the function f defined by f(x) V+ 2. Determine the…

A: We have to calculate inverse of a function  And the domain and range of the inverse function.

Q: 5. Determine the intervals on which f(x) = -5x* + 40x³ – 5 is concave up or concave down using…

A: 5.The given function f(x)=-5x4+40x3-5 Note:    Multiple questions are given, we are answered with…

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = - 1 and x = 8 is…

A:

Q: Water is fallins on a surface vettins A Greuer arca that is expanäns at a rate of 9/S. hov fost is…

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Q: se Exact Differential method (Rule II) to solve : x² – y²)dy = xy dx.

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Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Find the deri votive e

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Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: Work Problem 1 (a) Sketch the surface generated by revolving the line y = x/2, 0 <x < 6, about the…

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Q: 1150 15" 26" The total length of a windshield wiper arm is 26" The wiper blade itself is 15" The…

A: shaded area = total area - mechanisum area shaded area = θπR2/360 - θπr2/360 where R = 26 r= 15 θ =…

Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

A: We can solve this as follows:

Q: A barge is being pulled by two tugboats that are 118 feet apart, as illustrated. Find the angle…

A:

Q: Find the taylor series for f(x) about x=3 15) f(x)=x^3-10x^2+6

A: This question can be solved using the concept of expansion of Taylor series.

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y², (6,…

A:

Q: Find the sum of the series 18 54 2+ 5 +... (if it exists). If the sum 125 - 25 does not exist,…

A: I am attaching image so that you understand each and every step.

Q: graph of the function arcsec(x).

A:

Q: (e) Compute y' if y2 = xe + ye-

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Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = e^t…

A: Just put the exponential term value from one equation into the other and easily eliminate the…

Q: x² - 4 lim 1-2 +2 O-00 O 4 O 4 O 2

A: Use  a2-b2=(a+b)(a-b)