onding to the given vector equation. r(t) = (P -1)j+ 3tk, -1sts1

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A: Given parametric equation of curve x=1+t   y=et2we want to find equation of tangent at  ( 2, e)

Q: "f(z) = -6x f'(3) = : %3D then =?. x+3 (Answer accurate to 2 decimal places.)

A: Topic  = Derivative

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A: Explanation of the answer is as follows

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A: The average value of the function f(z) on the interval a, b is  1b-a∫abf(z) dz.

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A: To find differential equation.

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Q: 1150 15" 26" The total length of a windshield wiper arm is 26" The wiper blade itself is 15" The…

A: shaded area = total area - mechanisum area shaded area = θπR2/360 - θπr2/360 where R = 26 r= 15 θ =…

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Q: dx (x – 2)Vx² – 4x +3 dx sin-1xV1- x2 L. cos(sec xVx2 – 1 -x) dx 2/V3

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: area =s(s-a)(s-b)(s-c) where s = (a+b+c)/2 s= (12+17+9)/2 s= 19 area = 19(19-12)(19-17)(19-9) area =…

Q: Use an iterated integral to find the area of the region. dy dx = y 6 5 4 3 2 1F -1 1 2 4

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

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Q: ) Consider the integral TTY sin dydx. orl o g roloi T tiv ane b onqua Aanitoom wtelole 211 Z08-11 a…

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Q: 4. Find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x) over the…

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Q: Solve (x2 + 1) + 2xy = dy 2 dx x²+1

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Q: 1 dx ((Va)² – 16 2 x² .

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Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Simplify arccot1. 4 no solution

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Q: Given the following general solution 2(R + 1)(R + 3) A (a+ 1) - 5 (R – 1) A] x" = 0 R = 1 If we…

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Q: find the indefinite integral of (3lnx)/x dx

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given;  Minimize :(x, y) =x2+y2 Constraint: x+2y-20=0.

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A: Just put the exponential term value from one equation into the other and easily eliminate the…

Q: Select the answer option that corresponds with polar coordinates (3, –150\degree). so 90° WIN 45° 7…

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Q: x2 - c2 x c -3

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Q: Find the general solution of the given linear differential equation. y'''' − 2y''' + 5y'' = 0

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Q: APPLICATION: 1. A pigpen is to be enclosed using 640 m of fencing along three of its sides, the…

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Q: Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify…

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Q: 2² + y° = 1 = 2' - y %3| = z + y? = 1 +E z = I +y ² + y² + z² = 1 = 2° + y? circular cone sphere…

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Q: Evaluate arccot(tan 4). 2л 4

A: We will evaluate the trigonometric expression in the following step.

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Q: Two models, R, = 7.21+0.62t and R, = 7.21+0.47t, are given for revenue (in billions of dollars per…

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Q: 9 Determine whether the series 9. 9. +...+ 9. +... is convergent or 100 1002 1003 100" divergent. If…

A: 9100+91002+91003+.....+9100n+...common ratio:a2a1=a3a2=1100First term: a=9100common ratio:…

Q: Q2/ Find S*(4 – 3x) sinx dx -

A: Given: I=∫0π/44-3xsinxdx   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And…

Q: The function f(x) = x* + 8x has O a local min at x = -6 and a local max at x = 0. O a local max at x…

A: Use second order derivative test for finding the local maxima Or local. Minima

Q: Find the taylor series for f(x) about x=3 15) f(x)=x^3-10x^2+6

A: This question can be solved using the concept of expansion of Taylor series.

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Q: at = 5? What is the instantaneous slope of Y = %3D - 25 25 15

A: A detailed solution is given below

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

Q: graph of the function "arccot(x)".

A: We have to draw the graph of the function "arccot(x)".

Q: Suppose f(x) = – 2x – 2x - 8. Compute the following: A.) f(- 3) + f(2) = B.) f( - 3) – f(2) =

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