Find the vector r(t0); then sketch the graph of r(t) in2-space and draw the tangent vector r(t0). ■11. r(t) = t,t 2; t0 = 2

Q: f(x)= 4 tan² (x-2)

A: f(x)=4tan2⁡(x−2)f′(x)=ddx4tan2⁡(x−2)Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power…

Q: Problem #2: Find the Laplace transform F(s) of (41²-7)².

A: f(t) = (4t2-7)2We have to gind laplace transform of f(t)i.e....F(s)

Q: Example 4: w=x²y+y+xz_x= cos(0) y=sin(0) z=0² dw Find dt

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Evaluate the integral. √x²+5 dx x2

A: To evaluate the integral ∫x2x2+5​​dx, we can use the substitution method. Let u=xx2+5​​, then…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time interval…

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Q: 2. Compute the sum of the shaded areas. The shaded areas are half circles. Assume that the pattern…

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Q: For each of the following tables, complete the table And Answer the questions that fo X Process y 0…

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Q: Use the given transformation x = 2u+v,y=u+ 2v to evaluate the integral [] (2y = x) dA where D is the…

A: To find:- ,where D is the triangle region with vertices

Q: [ (sec y) (tan y (sec y)(tan y - sec y) dy

A: (secsecse  se secCWhere , C is constant of integration.

Q: 3 3 Consider the function f(x) = 23 x7 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

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Q: Reflect? Stretch/Shrink vertically? Stretch/Shrink horizontally? Shift up/down? Shift left/right? by…

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Q: A graphing calculator is recommended. Graph the functions on the same screen using the given viewing…

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Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: existence of lim

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Q: h(x) = sin x cos x on [0,2].

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Compute the value of the following improper integral.

A: Therefore, the required answer is ∫1∞​9x2e−x3dx=e3​=1.103638323514326964Explanation:Step 1:  Step 2:…

Q: (Calculator allowed) Find the area of the surface formed by revolving about the 0 = given interval.…

A: area = 2π(√122)/485 (e11π -22) (option A)Explanation:First calulate area for r= eaθ   Now Put a = 11…

Q: We begin by finding the EL equation for the auxiliary functional S[y] = = - S₁ 12 dx (xy2+ Ay - λy)…

A: Please see the attached image for an explanation. Thanks.Explanation:

Q: A pair of parametric equations is given. (a) Sketch the curve represented by the parametric…

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Q: 5 A polar curve is given by r = (3-cos(0)) What is the rectangular equation of the tangent line at 0…

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Q: 1. (10 pts) Use the following graph of y = f(a) to answer each part: 1 -2.1 Y a (a) Determine the…

A: Answer of every question is given below.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the iterated integral (4x+y)2 dydx

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Q: Let s(t)=4t to the thrid power+30t squared+72t be the equation of motion for a particle. Find a…

A: Part(a) :  v(t) = 12t2+60t+72 Part(b) :  t = -3 and t = -2 Part(c) :  a(t) = 24t+ 60Explanation:

Q: (9) y 2*+2 4 15 (11) y: (

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Q: Determine whether the statement is true or false. True False If lim_a = an 0, then Σ a, is…

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Q: In (x³ – 2x² - 5x+6) -

A: The given function

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Ex 2. i) Determine whether the Mean Value Theorem applies to the function f(x) = 7-x² on the…

A: f(x)= 7-x2We have to check for M.V.T theorem and also find the values

Q: Use implicit differentiation to determine dy/dx given the equation x squared+y to the fourth power…

A: The objective of this question is to find the derivative of y with respect to x, denoted as dy/dx,…

Q: Let F(x, y) = 2x 2yi + 3xyj, and C be the boundary of the square with corner points (±1, ±1),…

A: The objective of this question is to find the flux of the vector field F across the boundary C of…

Q: Əz Əz Əz 2. Find where Ju' Iv' I w z = x² + xy³, x = uv² + w³, y = u+ve".

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Q: Find f'(x). f(x) = (8+ Inx)³

A: The objective of the question is to find the derivative of the function f(x) = (8 + ln(x))^3. This…

Q: 5) The electrical Power given in Watts (W) produced in a certain battery is given by P= 144 r (r +…

A: Given that the electrical power given in Watts (W) produced in a certain battery is given by ,where…

Q: iven f(x,y)=- use differentials or a linear approximation to approximate the value of y' +1 f(1.01,…

A: The given function is

Q: 5. Use the midpoint rule with m = n = 2 to estimate ff f(x, y)dA, where the values of the function f…

A: The objective of this question is to estimate the integral of a function f(x, y) over a region R…

Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s, as a…

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Q: 1. Find fr (1, 1) and fr (1, 1) where f(x, y) = 6√/2x4 + y³ − 2x+5xy.

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Q: A function m is a [Select] The [Select] of functions ƒ and g if m(x) = ƒ[g(x)]. of m is the set of…

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Q: Assignment 10: Problem 7

A: 12Explanation:To find the minimum value of the function f(x, y) = x² + y² subject to the constraint…

Q: Use the method of Lagrange multipliers to prove that the rectangular box with maximum volume that…

A: The objective of this question is to prove that the rectangular box with maximum volume that has a…

Q: A student did not watch a few of this unit's lesson videos. This is the solution to the problem the…

A: Power Rule of differentiation is given by  here, n is a real number and x is a variable. Here a, is…

Q: 2 4-y²² #13 Given S² S√4-y 0 0 (y) ddy (a) Write down inequalities. in xy representing the region R…

A: 4πExplanation:Step 1: Step 2: Step 3: Step 4:

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A: To find the area of the region inside the blue circle  butoutside the red circle  shown below.

Q: Let f(x)=sin(x), find each of the following: find the second derivative, the thrid derivitie and the…

A: The objective of this question is to find the second, third, and fourth derivatives of the function…

Q: Find a vector v with initial point (-3, -4,0) and terminal point (-6, -5, 3). Then find a unit…

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Q: how would you solve this? This is a non-graded practice. The correct answer is E I just don’t know…

A: Detailed answers show blown Explanation:The area under the velocity curve represents the distance…

Q: I just need this checked and corrected please

A: Given:curve To find:Find the integral for arclength and surface area.Here a=0 and b=3, f(x)=

Q: Write the complex number in polar form with argument between 0 and 2. 8 + 8i

A: To write the complex number in polar form with argument  between .