dv 4.)Prove that f -Incosv + Insinv + C sinvcosv

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A: Please follow the next step.

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A: Given the function is f(x) = 2x2,if  x≥1ax-1,if  x<1

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Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the…

A: Please see the below picture for solution.

Q: Find the nth term of the arithmetic sequence (a wh a, = 4; d = What is the nth term of the…

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. Write the given…

A: To find out the value of integral using the midpoint rule.

Q: -2- At the point shown on the function above, which of the following is true? O f' > 0, ƒ'' > 0 Of'…

A: If the second derivative is positive then the graph of the function is concave up.

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is the last two digits…

A: Permutation: Permutation:  The permutation is a method of arranging objects in a specific order.…

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A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: 16 Indicate the general rule for the arithmetic sequence with a3 = 8 and a8 = 33. a n = 2 + (n -…

A: The nth term of an arithmetic sequence is an = a + (n - 1)d  a is the first term. d is the common…

Q: Step Solve for c. Use inverse trigonometric functions to find the value of c guaranteed by the Mean…

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Q: FP Use the Fundamental Theorem of Calculus to evaluate: /2 13. xp x zJ55 9/u5

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Q: Determine the convergence or divergence of the series. (If you need to use co or -0o, enter INFINITY…

A: limn→∞ sech(n)=limn→∞ 2en+e-n=limn→∞ 2e∞+e-∞=limn→∞ 2∞+0=0limn→∞ sech(n)=0

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Q: 6. The rate of growth of a particular population is given by dp 50t? - 100t3/2, where P is the…

A: Given problem:- The rate of growth of a particular population is given by (dp)/(dt) = 50t2 - 100t3/2…

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Q: Use L'Hospital to determine the following limit. Use exact values. In r lim glnz

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Q: dy if 6 + sin 2y = dx 2y + 3x by using implicit differentiation. 2y + 3x Find Hence, find the…

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

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Q: 12 Let y24xー4x+3 le) Find the eauetion.of the tangent Iine to the graph of the fuuction att x-2; O…

A: We have to find tangent line

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A: On solving this we will get

Q: 33) Find tue ared ef tue Serface formed by revolving thecirele r= f10) = 10 C6s Q f10) =10 Cos Q…

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Q: y = x and y =x+2 ve the area about the line x = 3. Using cylindrical shell method, the volume of the…

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Q: 6x² +19x+13 2x +5 5.

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Q: Consider the system of differential equation x1' = t°x1+ 9 sin(t)x2 x2' = e*x1+ t°x2 Write the…

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Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, 00).…

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Q: Find the limit. 421 (a) lim 7+ 17 (b) lim x-0 X 3

A: Topic = Limits

Q: Use the limit comparison test to determine if the series converges or diverges. 00 22) E 6n3/2 + 7n…

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Q: exdll Values of the six trigonometric functions of the angle. (-7, -4) sin 8 =-0.496 cos e =-0.868…

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Q: (2, 4) y = 2x ng a vertical element of area, he area of the shased region is gven by the integral

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Q: dy (1- y)

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Q: 1) Find dy/dr by implicit differentiation. tan n'(xy"+y)= x

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A: Explained below

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