3 xp- 4.

Q: Use the formula k(t) : ||r() × r"(t)|| to find K(t). %3D r(t) = t²i + t®j %3D

A: Given that,     r(t)=t2i+t9j

Q: 8. Evaluate the limit of (4x^2-x)/ (2x^2+4) as x approaches a. a. 2 b. 4 с. а

A: We have to find limit.

Q: Calculate the upper sums Un and lower sums Ln, on a regular partition of the intervals, for the…

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Q: Find dy ldk 3x xナ+ チ= +メ

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: Let f(x) = 10x + ax² + e2×. Compute f()(x). %3D (Use symbolic notation and fractions where needed.)…

A: We need to find the 7th order derivative of the function f(x) given by

Q: 1. Find the area enclosed by the given curve, the x-axis, and the given ordinates. (a) The curve y =…

A: To find the area of enclosed region.

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: topic- derivative of a function

Q: E-10: Let f(x) be a non-constant polynomial satisfying the relation f(x).f (y)= f(x)+f(y)+f(xy)-2,…

A:

Q: Find the limit.

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Q: Q1) Suppose w = x = cos? t, y = sin? t, z = dw Evaluate at t = 3, by using the Chain Rule dt

A:

Q: Evaluate with out hoH LnX lim

A: The given limit is: limx→1lnxx-1   As we know from the Taylor series with center 1:…

Q: lim Max Ax Ef xi Ax, , is equivalent to lim Efa+iAx)Ax with Ax = 5 _b-a 1. The Riemann sum, AX, n00…

A:

Q: You will calculate L5 and U5 for the quadratic function y 2² + z + 14 between z = 0 and z = 2. Enter…

A: To solve the following problem

Q: Find the inverse function G for the function F(x) = (x-1)/7 in the real numbers. Show all steps.

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: Q1) Suppose w = +, x = cos? t, y = sin? t, z = ; dw at t = 3, by using the Chain Rule Evaluate dt

A: Topic = Derivative

Q: 2. Solve the following initial Condition Problems: dy а. dx Vry, y(1) = 2. || b. y' = x + y, y(0) =…

A:

Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

A: This question is related to Straight line, we will solve it using given information.

Q: f(x) = In(x4 + 1)

A:

Q: Let D be the region enclosed by y = 5x, y = x and x = 1. The volume of the solid formed by •…

A: Here we have to find the volume .

Q: Find the area of the shaded region. r = Vcos 20 r = 14 cos 0 NOTE: Enter the exact answer. A =

A: Area of shaded region .

Q: Question 3 [CLO-1] The table attached shows the preference schedule for an election: Number of…

A: Given question:- There is no condorcent candidate for the preference schedule

Q: Evaluate the integral by choosing a convenient order of integration: x cos(ry) cos (Tx) dA; R= x (0,…

A:

Q: cos 20 7. S -do sin 0

A:

Q: The total sales, S, of a one-product firm are given by S(L,M) = ML - L², where Mis the cost of…

A:

Q: Find the length of the curve of the graph of the indicated function. y = In(sen x), between points…

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Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. f(x) = 4,…

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Q: y = 6x³ – x-4

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Q: Determine the general solution to the vector differential equation r' = Ax with A = [2030-40 -30 2]…

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Q: Find the inverse of the function. f(x)= 9 + sqrt 4x -4

A:

Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

A:

Q: There is a function                                                           f(x,y)=3√x3 + y.…

A:

Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: 1-6 Use an appropriate form of the chain rule to find dz/dt. 1. z = 3x²y*; x = r^, y = r² 2. z =…

A:

Q: A thermometer reading 60° F is placed in an oven preheated to a constant temperature. Through a…

A: Let T represents temperature of thermometerand S be the constant temperature of oven.  t represents…

Q: Use Green Theorem to Evaluate y x²dx – x²dy where C is left half of x² + y² = 25 %3D

A:

Q: 10. Determine if the series converges or diverges using a Comparison test based on a Taylor…

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Q: Find the solution of the following BVP given that y(0)=2 and y(1)=0. d’y_12dy. dx +36y = 0 dx

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Q: ?Which of the followng equations is an exact differential equation +1) dx - xydy 0 2xydx + (2+x) dy…

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Q: Which of the following is the solution of ди +2- ди Ox 0 = a) u(x,y)= e"-2x b) u(x, y)= (2x + y)³ c)…

A:

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

A: By using the Shell Method to compute the volume of the solid obtained by rotating the region in the…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: As we know that; The critical number of the function, y=gy can be determined by solve the equation…

Q: Full the following blanks (Undetermined Coefficients method) by the suitable solution 1. If y" + y =…

A:

Q: (). 4. (a) Find the length of the curve y = } cosh(2r) from point (r, y) = to (x, y) = cosh 2 Hint:…

A: Given problems:-

Q: An object is moving with velocity (in ft/sec) v(t) = t – 16. Find the displacement and total…

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Q: Solve the equation .11 y" + 3y + 2y = x2

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Q: * This equation is an example for linear equations dy = x²e* y dx False O True O

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: Vx-x (-X dx 4. x3

A: