Consider the vector field F <4x + 7y, 7x + 6y > Evaluate = r(t) = t²i+t³j, 0≤t≤2 Calculator .L.F. Check Answer F. dr along the curve C:

Q: 5. Calculate lim f(x), where x+1+ f(x) = = its 12.05 (c)-2 (d) 2 (e) does not exist 5A 5B if x 1 x-1…

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Q: Solve the triangle. A What is the length of side a? 10 33° 20 a= (Round to the nearest whole number…

A: The given triangle has an angle measure ∠A=33° and side lengths b=10, c=20. We have to find the…

Q: Let f(x)=√x. (a) Use linear approximation at x = = 125 to approximate f(124.7) = 124.7. The Linear…

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Q: 1.F S F = (e sin y, e cos y, yz²) S is the surface of the box bounded by the planes x = 3, y = 2, z…

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Q: (5) Find all real solutions of: (a) x²7x8=0 (b) x² - 7x+8 = 0 (SHOW YOUR WORK)

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem…

A: We need to use Euler Method to find the first three approximations for the given initial value…

Q: xy² (x,y)-(0,0) √x² + y² lim I

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Q: (10) Solve for x: 22x-1+1=5 (SHOW YOUR WORK)

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Q: A Ferris wheel rotates around in 30 seconds. The maximum height above the ground is 55 feet, and the…

A: ft=AsinBt-C+D ⇒A=Amplitude⇒C=phase shift⇒D=Vertical shift⇒B=2πT,T= time period

Q: Please quickly The equation (Picture 1) is defined as the set of points equidistant from the point…

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Q: 1. Write the first 5 terms for 1 -|~1/2 Xn

A: PLEASE NOTE THAT AS PER OUR COMPANY GUIDELINES WE CAN SOLVE ONLY THE FIRST ONE . ASK THE OTHER…

Q: find derivative of f(x) O none of these answers ○/(x² + 1) (2x) O O 4x 33/(x²+1) 2x 3 (x²+1) = √√(x²…

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Q: 2x² Find the absolute maximum and absolute minimum of the function f(x) = = 5 Provide your answer…

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Q: 4 3 Evaluate F F - dr along the curve C: 7 (t) = 3 cos(t)i +3 sin(t)j, 0≤t≤. 4 Consider the vector…

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Q: Given that (a) (b) Prx [ FLX f(x) dx = 3 and f(x) dx 2 [²(x [²Px) dx - [Px) dx f(x) f(x) f(x) dx =…

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Q: Find the absolute maximum and minimum of f(x) = x² + 218 on the interval [³].

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (10, 12, -2) (60,24,156)

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Q: Use the ratio test to determine convergence or divergence. If the ratio test is inconclusive, use…

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Q: Using derivatives find the absolute maximum and minimum of the following function over 1 ≤t≤ 25.…

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Q: 2. Find y'" if y=-2x³4x-3

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Q: Bianca invested $5000 in an account that pays 5% annual interest. Write a function that represents…

A: Let y is the amount  x is the years  SI =( P* R* T)/100  We have  P= principal = $5000  R = rate =5%…

Q: xy Find the linear approximation to the equation f(x, y) = 5, 8 approximate f(4.12, 8.17) f(4.12,…

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

Q: Use Green's Theorem to evaluate Jo F-nds, where F =√x+4y, 2x + 4y) C is the boundary of the region…

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Q: Find​ E(x), ​E(x^2​), the​ mean, the standard deviation and​ variance, over the given​ interval, of…

A: The probability density function and the interval is given below               fx=113…

Q: Evaluate fry³dx + a²dy, where C is the rectangle with vertices (0,0), (3,0), (3,5), and (0,5)

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Q: 3) Solve KHG30 r(t) = y(t) = r(0) = 2, y(0) = 3 (Using Method of Eigenvalue/Eigenvectors)

A: NOTE: Refresh your page if you can't see any equations. . the given matrix is  take…

Q: 13. Let C be the curve with parametric equations === P²+2, v=P²-1, 15152 Find the length of the…

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Q: [x+y+z=0 Solve the system of linear equation 3x+ 5y + 4z = 5 using the following four methods:…

A: given system of equation can be expressed can be represented in matrix form as AX = B where…

Q: Consider the vector field and the curve C below. F(x, y) = (5 + 8xy²)i + 8x²yj, C is the arc of the…

A: F→x,y=5+8xy2i+8x2yj

Q: /17-√5 + Y³ 5 y dy = +C

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Q: Consider the functions f(x)=8arcsin(52) g(r)=16arctan (a) Find the derivatives of f(x) and g(x).…

A: This topic is related to inverse trignometric relation and their derivative.

Q: Suppose you drop a ball from a window 45 meters above the ground. The ball bounces to 65% of its…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)"…

A: apply alternating series test  an=1ln9n    limn→∞1ln9n=1ln9·∞=1∞=0

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: The marginal cost C'x=-0.06x+83

Q: amount of material possible. (Hint: The surface area of a cylinder is S = 2πr2 + h(2πr), and its…

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Q: (7 pts) (a) The fourth Taylor polynomial for () is f(x) = ln (sec(x)) at a = In where Co = C1 C₂ =…

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Q: π (14) Find the exact value of each of trigonometric functions for = – 4 sin (-7)= sec (-) = tan…

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Q: A square-based, box-shaped shipping crate with a volume of 16 cubic feet needs to be constructed at…

A: A square based box  Cost of material used for side $p per square feet  Cost of material used for…

Q: Find the divergence of the vector field F = div F = Calculator Check Answer

A: F=yx2, xy3

Q: 15. A 30 N force is required to hold a spring 20 cm beyond its natural length of 15 cm. How much…

A: Given:A force of  30N is required to hold a spring that has been stretched from it's natural length…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y v=√1+ e*,…

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Q: (40) Find one negative angle coterminal to angle = 7″. 6

A: Angle = 7π6

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives f…

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Q: Use the method of corners to solve the linear programming problem. Minimize C = 5x + 7y subject to…

A: x+3y≥154x+y≥16x≥0y≥0

Q: Find (4x + 2y)dA where R is the parallelogram with vertices (0,0), (5,-5), (2,1), and (3, 4). R Use…

A: Use the given transformation x=5u-2v and y=-5u+v to find the given prallallograme integration value.…

Q: The function f(x) = 2x³ − 21x² + 36x + 1 has derivative f'(x) = 6x² — 42x +36. - f(x) has one local…

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Q: ind the general solution of the recursive relation n = 14an-1 — 49ẩn-2, n ≥ 2. an α10 (7)" + α20…

A: To find the general solution of the recurrence relation

Q: 3. Calculate lim 8118 (a) 13/8 13- 21e 9e +8

A: Given data: limx→-∞13-21ex9ex+8

Q: In this problem, p and Care in dollars and x is the number of units. A monopoly has a total cost…

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Q: (6) Given the function f(x) (4) (-2) = = 1 x +3 and g(x) = x², find: (fog)(x) = (gog)(x) =

A: Given f(x)=1x+3  and g(x)=x2, we need to find: