Find the first partial derivatives of the function. f(x, t) = Vx In(t) 1 cln(t) 2Vx fx(X, t) fe(x, t) = ||

Q: Consider the function f which is given on its domain (0, ∞) by f(æ) = 182? (36x + 9) In(x). • Find t...

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Q: CoS y By-2) dy

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to g...

Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and t...

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Q: A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is t...

A: Given:     Volume = 516π 

Q: Solve the inequality involving absolute value. Please explain. |x- 2| + 6 ≥ 12

A: Given query is to find solution of the inequality.

Q: Complete the following steps for f (t) = t³ – 6t² + 4 a) Find f'(t). b) Find the critical points by ...

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Q: 2 x´ + 8)(6y – 1) = 0 find the third derivative

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Q: 4. If two resistors are connected in parallel, then the total resistance R, measured in ohms is give...

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Q: Find the Laplace Transform 1.ft'est

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: given the geometric series below, analyze whether it is convergent or divergent and then define the ...

A: Given geometric series 1/5 + 1/5^2 + 1/5^3 + ......... 

Q: Where did the value inside the circle go? Can you explain step by step? (-)m 2m 2m m=0 2 m! [(m+V+1)...

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Q: The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable c...

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Q: Evaluate the following integrals. 1 dx x²Vx2 – 9 3

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Q: Question 1: a) Find the definite integral (x + 1)(x - 1)dx -1 Answer: I = fa- b) Find the indefinite...

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Q: Use a parametrization to find the flux •n do across the surface in the given direction. S 2 F= - 2xi...

A: We have to find the flux using parametrization.

Q: Thomas has the following utility function over milkshakes (m) and smoothies (s): U(m,s)=m+3s Today...

A: Given:      U(m,s)=m+3s     Spending Total = 100

Q: 1. Find the first derivative of the function g(x) = 6x+ 27r'+36x. g'(x) 18x + 54r +36 2. Find the se...

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Q: find f ′(x) for each function. f (x) = 5x3 − x + 1

A: Let's find. 

Q: lim v2x +3x –4- V2x² –4

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Q: 15 tind the voleime of the solid senerated by revoling the following region about the y-axis, The re...

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Q: The limit below represents the derivative of some function f(x) at some number a. 10 sin(2 + h) – 10...

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Q: Use the definition of a derivative to find f ′ (x). f (x) = 5x − x2

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Q: 1. Find the equation of the parabola given the following parameters and draw the graph of the equati...

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Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where ...

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Q: Activity 1 Determine whether the following functions are continuous or not. If they are not, classif...

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Q: find deri vative gan -? () =

A: Given query is to find the derivative of the expression.

Q: Find a one parameter family of solutions of the following separable equation: dy 74 - 4 12r2 – 6e3r ...

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Q: 3. A wagon is pulled a distance of 48 metres by a force of 30N applied at an angle of 51° to the roa...

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Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y2 + 5xy – 2y + 4)dx + x(2x + ...

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 4 %3D 00 f(x) =...

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Q: One of the methods discussed in Chapter 2 leads to a solution of the following first order different...

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Q: Find the surface area of the volume generated when of y = x3, on the interval [0, 1], is revolved ab...

A: We have to find the surface area of the volume generated by the curve by rotating about the y axis.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 Pa(x) =

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Q: Let f(x) = V13 – x. Compute f'(4) using the limit definition f'(4) =| Find an equation of the tangen...

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Q: Activity 3. Solve the limit if the following given functions. Match Column A with Column B. Every an...

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Q: f(x) = 2x² – x + 6 for all values of x %D

A: Given function is, f(x)=2x2-x+6  

Q: Show that (sec x) = sec x tan x. Note: You may assume it is known that (sin x) = cos x and :(cos x) ...

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Q: A particle is moving in the velocity of v(t) = . Find the torsion of the particle's movement. Leave ...

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Q: Consider u(y) = |y – 2| – 2 on 0 < y < 4. Absolute Maximum value at y = Absolute Minimum value at y ...

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Q: 2x2+5 1. lim x→0 x²-3x-1

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Q: Let f(x) = 62? – 9. f(x) – f(a) Using the definition of derivative at a point, f'(a) = lim x - a ent...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Find your answer below 

Q: For vectors ā = (2,4,-1), b =(-1,3,2), calculate the vector projection of b on ā. %3D

A:  Vector projection of b→on a→=(a→.b→)a→Consider  a→.b→=(2×(-1))+(4×3)+((-1)×2)                      ...

Q: Determine whether the alternating series converges. k + 1 E(- 1)k+1, k=1 5k + 1 O The series diverge...

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Q: Evaluate the integral. S coth 7x) dx A) In sinh 7x *C B) In lanh 7x +C © } csch' 7x + C 7 In

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: - 2ry? = 0, y(0) = -1. The interval I of definition os (D) (-∞0, 0).

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Q: solution using Integrating Factors Found by Inspection y(x^3y^3 + 2x^2 − y)dx + x^3(xy^3 − 2)dy = 0...

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Q: Find the derivative of the following functions: 5. y = tanh 2x +coth 3x ans. y' = sech²2x – 2csch²3x...

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Q: Find * of the following implicit functions. 11. In y = e' sin x

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