12. Evaluate: 212-3V+1 (a) (d) / sec (2) / (b) / sec (20) de dr 1 (e) rVI-1 dr dr 16+9r2 (c) sin t dt cos? t

Q: 5. S , dz dy dx 2 c3

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A: In this question we have to find the area enclosed by the curves.

Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: for disperesed of data we have to find median for weight 59 65 65 67 69 here odd number of…

Q: I. Evaluate the following integrals. 3.x5 dx V2 – x3 1. - 2* + e2" sin(2") dx sin(2") 2. 2x + 3 dx…

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Q: vertical asymptote z=0 S'(z) > 0 for z -3, (z # 0) f"(z) 0 for z > 0

A: Let's find.

Q: Question 6 Use differentials to find the approximate value of y: (2x 1) when x = 0.98. O (E) None of…

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Q: Find Valke of nhegal Sxdx X dx

A: To evaluate the given integral

Q: 1 1 1 dx x+2, x+1

A: We can solve this as follows:

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: To find out the relative error in the lateral surface area of the cylinder.

Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t2)" on the interval [-1,3] by…

A:

Q: (t- 1)* 24 24 4 24 24 4 1 85 84 g5 84 82 O Option 1 O Option 2 24 24s 12s² + 4s3 + s4 12s2 + 4s3 + s…

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Q: (D² + 4)y= 4 cot 2x

A:

Q: Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

A: Explanation of the answer is as follows

Q: S e6m sin m dm Integration by Parts

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Q: 1 (s +1)(s² + 1) - cos t + sint) + cost – sin t) Option 1 Option 4

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Q: 1 dx, if possible. State whether the integral converges or diverges. 4

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Q: d of Variation of Parameters: [D² - 8D + 16]y = e4%sec2 %3D

A:

Q: set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

A: To find the equation of the tangent line at x=3pi/4.

Q: the

A: We have to choose the correct option from the given options according to the given information

Q: A. For each of the following functions z, find and дх 2. z = tan 出一郎

A: Explanation of the answer is as follows

Q: B. Solve as indicated. 1. Find the geometric mean of 28 and 112. 2. Find the geometric mean of 7 and…

A: To find the geometric means for the given data. The formula for the geometric mean of x1,x2,...,xn…

Q: Find the volumMe generated by revolving the area bounded by the giveN Curve and avd lines y = x', x…

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Q: B. For each of the following functions z, find and dx²' dyðx' axðy' dy2 1. z = 2x² – 5xy + y²

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Q: Let F(x) = (f(x))² + (f'(x))², F(0) = 6, where f(x) is a thrice differentiable function such that…

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Q: y = e-x" and the x – axis is revolved about the y - axis.

A:

Q: Find the length of the curve 7(t) = (2 cos(4t), 2 sin(4t), t) for –2 <t s8 Give your answer to two…

A: As we know that; The expression for the length of the vector-valued curve; L=∫abx't2+y't2+z't2dt And…

Q: Determine the first derivative for each of the following functions. Remember to "Tidy" up your final…

A:

Q: Find the Laplace Transform of the functions 1. e-2t (cos t + 3 sin t)

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: x2 - x 1+ 3x? – 2x3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 12. A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 f/sec. Assume the…

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Q: m³ +4m 3. S (1–m*)ž

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Q: mine the value(s) of x where the slope of the tangent line is horizontal. Use exact valı…

A:

Q: he Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 Ciuo Hooim

A: Here we have to use linear approximation rule.

Q: Give me an example of Properties of Definite Integral.

A: We have to give an example of definite integral using property

Q: a?z B. For each of the following functions z, find a2z and ду? a²z дх? дудх' дхду" 1. z = 2x2 – 5xy…

A:

Q: 5 sin(0) – cos(0) dO Evaluate: со

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Q: (x, y) = (1, –1) { 1 Show that the function f defined by f(x, y) x2 + y (x, y) # (1, –1) x + y is…

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Q: derivatives power series

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Q: 1 f(x) 1+x 1 f(x) 1- x 2 f(x) 3 — х x² f(x) x* + 16

A: Given that the series the  To find the Power series

Q: Evaluate sin (44º) + cos (29º) using differentials. Refer to special triangles.

A:

Q: Solve the initial value problem for r as a vector function of t. Differential equation: = - 22k 2 dt…

A: On solving this we will get:-

Q: hi, in no.1, instead of y=x2 + 2, you entered y=x2-2, so is the graph right? the point is supposed…

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Q: 2. Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB.

A: ProjBA=B⇀.A⇀A⇀

Q: 3s + 2 4s2 + 12s + 9 3 4 + 4 stet 3 2 Option 1 Option 2 3 2 4 + tet 4 3 2 Option 3 Option 4 None of…

A:

Q: iSy dx dy 3.

A:

Q: III. GRAPH ANALYSIS: The graph of f is shown below. Use it to answer A, B, and C. -7 -$ -4 -3 -2 1 2…

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Q: (D² – 2D – 3)y = 64xe³*

A: The given differential equation is:D2-2D-3y=64xe3xWe will solve this by method of undetermined…

Q: 2x determine the derivative of f(x) = 3 X

A:

Q: VI. Determine all the relative minimum and maximum values, and saddle point/s (if any) of the…

A: Given,  h(x,y)=x3-3x+3xy2

Q: Find the Inverse Laplace of the following 6s – 4 s2 – 4s + 20 2e-24 cos 4t + 8e " sin4t Option 3…

A: Explanation of the answer is as follows