find the inverse, domain, range, and asymptotes for F(x)=4x-1-2

Q: Evaluate F. dr. F(x, y) = 7xi + 8yj C: r(t) = ti + V4 - t²j, -2 sts 2

A: Use line integral concept

Q: In chapter 10, we will be solving system of equations. Most of the time, we solve system of linear…

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Q: FIND THE INTEGRAL OF YOUR ANSWERS IN 2a and 2b  Note: My answer on 2a and 2b will be found on the…

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

Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

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Q: In x 6. lim, x

A: Solution:

Q: Sketch the region R and evaluate the iterated integral (x, у) dA. - 2x + 8y) dy dx y y 2.0- 2.0- 1.5…

A: In this question, Firstly, we sketch the region and after that find iterated integral.

Q: Let f (æ) = (In(z³ + 1))". Find the slope of the tangent line at x = 1. (Give your final answer as a…

A: The slope of tangent to a curve y=f(x) at a point x=a is given by f'(a)

Q: Evaluate the improper iterated integral. x2 dy dx 1 + y2

A: Given: I=∫03∫0∞ x21+y2dydx As we know that; ∫11+x2dx=tan-1x+C And ∫a·fxdx=a·∫fxdx, where a is…

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: Here,  a→(t)=3t i^+6 sin(t)j^+cos(2t)k^⇒v→(t)=∫3t i^+6 sin(t)j^+cos(2t)k^dt⇒v→(t)=3t22 i^+6…

Q: Evaluate the iterated integral. T/4 '5 y cos(x) dy dx

A: A detailed solution is given below

Q: 3 da Evaluate a+2 A. 3 B. 2 С. 1 D. 0

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Q: Find div F if F(x, y, z) = (x² + y) i + z² j + (ey - z) k. 2x - 1 O 2xy i +k O 2x i -k 2хy - 1

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Q: ri(t) - r2(t)] = ri(t) × r2(t)] dt

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Q: (4D* – 4D³ – 23D² +12D+ 36)y = 0

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z =…

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Q: n 1) Use the Integral Test to determine whether the series is convergent or divergent. n² +1 n=1…

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Q: 3+ x2 ' Find the vertices of the rectangle with maximum area. Vertices = Enter your answers as a…

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Q: 7. For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y =…

A: We have to find the values of m.

Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4, 2)…

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Q: E1 Fnd all of the Porst order partial derivatives Toll wing fanctions. a)そ= x+5y x Sin (y). b) fexy,…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

A: Given

Q: Let F(t) = Find a parametric equation of the line tangent to F(t) at the point (111, 648, - 4.394)…

A: Let r→t=4t3+3, t5+5t4, -2 ln3tTo find the parametric equation of the line tangent to r→t at the…

Q: In chapter 10, we will be solving system of equations. Most of the time, we solve system of linear…

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Q: Find V · (V × F) if F(x, y, z) = 10 sin xi + 7 cos(9x – 10y)j + 3zk. V·(V × F)

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Q: Find the area of the part of the circle r = 8 sin 0 + cos 0 in the fourth quadrant . Answer :

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Q: 6 foND THE EXACT LENGTH Of THE zt -2t PARAMETRIL y(e)=1+4t CURVE X= e te

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Q: let f be the function given by f(x)=kx/(x^2+1), where k is a constant.  For what values of k, if…

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Q: e. Write a couple of careful sentences that describe the behavior of the temper- ature of the potato…

A: The given table is: t 0 15 30 45 60 75 90 F(t) 70 180.5 251 296 324.5 342.8 354.5 We have to…

Q: 2x² +2y? 11. Set up an integral that would calculate the volume of the solid bounded by the…

A: Given problem:- 11. Set up an integral that would calculate the volume of the solid bounded by the…

Q: lim (t i - 6 j +1° k). -5 (t i – 6 j + r² k) = i i+

A: Topic:- limit and calculus

Q: Verify Green's Theorem by evaluating both integrals Lr dx + x* dy = / dA ду x² dy ax for the given…

A: In this question we verify Green's Theorem                 i.e, verify integral  ∫C y2 dx +x2 dy =…

Q: Evaluate the double integral over the rectangular region R. 4xy dA; R = {(x, y): – 1 < x < 1, – 6 <…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the triple iterated integral. r2 xyz dx dy dz

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Q: Determine whether the improper integral diverges or converges. In x dx O converges O diverges…

A: Use integral test for checking the convergence of series

Q: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4, 2)…

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Q: integrate (2x + sqrt(x)) dx from 3 to - 6 A. 27 +2√3+4√6 B. 27 + 2√3 C. 27 - 2√3+ 4√6 D. 27-4√6

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Q: Find the first partial derivatives with respect to x, y and z f(x. y.2) - 3x°y - 9 xyz + 10 yz² %3D

A: Given

Q: Solve the initial value problem y′′−10y′+50y=0 for y(0)=1 and y′(0)=5. After getting the equation…

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Q: Find the standard equatron of the sphere with the given chara ct eristics center:(-1,7 9) radius: 6

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Q: The temperature at point (x, y, z) is given by T(x,y, z) = xy + sin(yz). Find the direction from…

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Q: /) Set up end eveluete fue defnite integrel for fue ared of tme Surfece fonmed by revoiving tme…

A: The graph y=x2, 2≤x≤8 revolving about x-axis

Q: sin °od 1. 2 (xex* +3x5+3x"-x²dx 2. 3. 6

A: I = ∫0π4sin5θdθI = ∫0π4sinθ·sin4θdθI = ∫0π4sinθ·1-cos2θ2dθ                         1------------Put…

Q: d²y of the following equation then simplify whenever possible. 3) Find and dx dx- x = 3em y = 4e-m

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Q: 6) Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: What is the equation of the tangent plane normal to x2 + y2 + z = 9 at the point (1, 2, 4)? O 2x -…

A: Given; f(x,y,z)=x^2+y^2+z-9  Point (1,2,4)

Q: Establish the identity. 3 csc0 4 cos 0 = 7 cot 0 sec 0 sin 0 Write the left side of the identity in…

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Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

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Q: Find the arc length of the parametric curve. 4 cos(t), y = 4 sin(t), z = 3t; 0<t<T L=

A: Here we have to find the arc length of the parametric curve.