Given the force fieid F, find the work required to move an object on the oriented curve. F= (y, z, x) on the curve r(t)=(cost, sint,t) for Ostsa/2.

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A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

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A: Given query is to find the time taken to double the investment and amount after 10 years.

Q: 3. Sketch the graphs of y = 4e -x, x = 4, x-axis and y-axis. Shade the region bounded by the curves.…

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A: Here the question is to find the first and second derivative of the function f(x) = 12cos2x. To find…

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Q: Solve 1Ge follouing disferential eguatiug 2 dy ty= elx xy メー1

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Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: We will use Numerical divided differences method to find the first derivative at x=2.

Q: Let y tan(3x + 6). Find the differential dy vwhen a 2 and da 0.4 Find the differential dy when z 2…

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Q: The function f(x) = 6(x – 5)²/3 increasing on the interval and is decreasing on the interval The…

A: f(x)=6(x-5)23

Q: Suppose that F(x) = f(t) dt, where V5 + uo du. f(t) = Find F" (2). F" (2) =

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Q: ||r(t) × r"(t)|| Use the formula K(t) to find «(t). r(t) = 5 cos(t)i + 5 sin(t)j + 4tk K(t):

A: Given rt=5costi+5sintj+4tkWe need to find kt by using the formula:kt=∥r't×r''t∥∥r't∥

Q: Let Ax) = 2x - 7x +4x. %3D a. On what interval(s) is f'(x) > 0? b. On what interval(s) is fx)…

A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

Q: Step 4 Since u = 6 – 4x, then converting back to an expression in x we get the following. (Remember…

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Q: Fundamental Theorem: Let f(x) = [ Jcos (In t)dt . Find the value of f'(æ). %3D

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Q: Find the derivative w = sin* y cos*y a. sin³ 2y cos 2y b. sin² 2y cos 2y c.sin 2y cos 2y d. sin 2y…

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Q: 12. Show that a rectangle with given perimeter has maximum area when it is a square.

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Q: A contour map is shown for a function fon the square R- (0, 2) - (0, 2). 46 56 48 WebAssign Plot 30…

A: We need to estimate values.

Q: [xe

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Q: a) Determine the position function, s(t), of an object if the acceleration is a(t) = 3t , v(2) = 0,…

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Q: (-2æ)" En=1 (5n)! Find the series' radius and interval of convergence

A: The given power series,∑n=1∞-2xn5n!

Q: If f(x, y) = -x³ +y - 3xy + 9x2 +y, then in the of obtaining its critical points we obtain the…

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Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) а. Find the…

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Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A: Answer to the subparts are given ,

Q: Test the series below for convergence using the Ratio Test. 4 0.5" T=D1 The limit of the ratio test…

A: Given query is to applied ratio test.

Q: 7. Find the length of the curve y (r + 4)/2 on the interval [0,3] 8. Set up, but do not evaluate, an…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 4. Find the divergence and curl of the following vector function: F(x,y, z) = ( arctan(ry),…

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Q: Find the arc length of the graph of r(t) = ev#ti + e¬V%tj+2tk, 0<ts v2In 5 NOTE: Enter the ezact…

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Q: 20 For the sequence an n+1' its first term is 10 20 its second term is 3 its third term is 5 its…

A: Given :an=20n+1

Q: Question 5 > Find the value V of the Riemann sum V = > f(ck)A¤k k=1 for the function f(x) = x² – 2…

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Q: Use series to estimate the integral 1-cos x dx x2

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Q: Use synthetic division to show that c is a: a. P(x)=x'-4x² + 5x – 2; c = 2

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Q: d sin x 1 dt| = dx et + 5 cO X 1 1 1 (A) esinx + 5 (B) e* + 5 (C) (esinx + 5) cos x (D) e sin x

A: We know that integration power rule is given as - Integration of xn is nxn-1.   Here i attached the…

Q: Find the partial sum for the firs 4, 10, 16, 22, ... い +6 +6

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Q: A produce and distributor of gift cards produces z boxes of cards per day at an average cost C (z)…

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Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

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Q: A farmer has 2,000 feet of fence and wishes to build two identical rectangular enclosures, as in the…

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Q: Simplify the expression log; 175.

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Q: Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by: (vi, v2) O (W1, w2) :=…

A: The objective of the question is computing the values.

Q: Determine whether converges or diverges. If it converges, find the sum. Paragraph U - Ay + v ...…

A: We have to find out sum

Q: Q1\ Differentiate the following (choose two only) 1)z = sin (3x + 1) 2)f (x) = 3cot-12t 3)y = e 8*…

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Q: Which series helps us to derive the discretized form of the governing equations? a. Taylor series b.…

A: (a) Taylor series expansion is normally used to discretise governing equations.

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: continously compounded formula:A =P er tA=final amountP=Principal amountr=ratet=time (in…

Q: Find the 11th term of the arithmetic sequence. $1264.02, $1946.38, $2628.74, ... a11 = $ (Type an…

A: This is a problem of arithmetic series. Please follow the procedure given below.

Q: For problems 3 & 4 find the arc length function for the given vector function. 3. F (t) = (f', 2r°,…

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Q: x1 x2 x3 x4 x5 x6

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Q: 10. f(x) = x² + x + %3D 1 x2

A: Derivate both side with respect to x

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for 00. /3+5x2 (a) lim 3+11a V3 +…

A: LetL=limx→∞ 3+5x23+11xDivide x on N and DL=limx→∞ 3x2+53x+11L=limx→∞ 3x2+5limx→∞…

Q: Solve the following equation in the complex variable z: |z|2 = 12 − |z| and draw the result on the…

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Q: 1.2. Find the x-values for any points on the curve y =f(x) with horizontal tangents. 1. Let f(x) =…

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