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Q: The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. Use linear a...

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Q: (d) E(-1)"n²(0.8)"

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Q: Determine whether given differential equation is exact. If it is, find the solution. (x + y) dx - (y...

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Q: 3) Consider the function f(x) = 2r3+3a² – 7 (the same function as in problem 2). %3D a) Find the int...

A: Here we have to check the concavity and points of inflection.

Q: Let f(x, y) = x?y? and e(t) = (t, t³) (a) Calculate: Vf•d (t) = d (b) Use the Chain Rule for Paths t...

A: Solve by chain rule

Q: 4. Using the "final value theorem" predict the final value in time for signal having the following L...

A: The Final value theorem states that, limt→∞x(t) =lims→0 s X(s)  We have, limt→∞ f(t) = lims→0s F(s) ...

Q: Find the derivative of the function y = 9 tan(2x). dy dx 11

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1...

A: Solution:

Q: Find the derivative. f(x) = 9 . 7* f'(x) =

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Q: I need to evaluate the follwing integral or state that they diverge

A: The given integral is ∫02dxx3

Q: A particle moves in the xy-plane along the curve represented by the vector-valued function r(t) = (4...

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Q: b)€G)=Shメ+7cosx しxt 2. 2. 2x-+3x-2 ニ

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Q: 3. Determine the cross product of the two vectors U and V. The components of two vectors U and V are...

A: We have to find

Q: Use the definition of the derivative to find r'(t). r(e) = Vi + i - 3k 3tk r'(t)

A: =>r(t)=f(t)i +g(t)j +h(t)k

Q: Can you provide atleast 5 average or complex examples of Ordinary Differential Equations?

A: I listed 5 example of ODE with answers.

Q: Find the derivative of f(x) = 2e%.

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Q: 1) (1.E) to nolisu Please write the equation for the line shown abo

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Q: d Find (2*). Type In(x) for the natural logartihtm dx function.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Assume that your company generates an annual profit of 2 million dollars per year, and part of that ...

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Q: Find the identical expression for the following. ​(1 − sin4θ)/(1 + sin2θ)

A: We have to determine identical expression as below 

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,...

A: Given:- Y1 = x2+2x+3 Y2 =2x+12 To find:- Area between given curves

Q: 1- x sinh Find the derivatives 1+x

A: Derivative of the inverse hyperbolic function formula: -  ddx(sinh-1x)=11+x2

Q: Determine whether given differential equation is exact. If it is, find the solutior (у Iny — e*) dx ...

A: The given differential equation is: y ln y-e-xydx+1y+x ln ydy=0 The objective is to find whether the...

Q: . Find the solution of the following differential equation. 6y" – 5y/ – y = 0, y(0) = 2, y'(0) = 1.

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Q: Consider the following initial value problem: y'' + 4y=1, y(0)=1, y'(0)=2 (a) Let y(t) be the solu...

A: Given initial value problem  y'' + 4y=1, y(0)=1, y'(0)=2

Q: (a)Find the equation of the tangent line to the curve f(x)=6x^2-5x+3 at the point where x=2. (Use th...

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Q: in triangle ABC, c = 30, a = 36 and b = 18. find the radius of the circle tangent to the side c and ...

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Q: Q2. Limits and Continuity (a) Show that the following limits do not exist. xy cos y 4a²y (i) lim (ii...

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Q: How long was ₱30,000 invested at a bond growing at an average rate of 8.25% compounded monthly if it...

A: Given, P= 30,000 A= 50,000 r=8.25%=0.0825 n=12(compounded monthly)

Q: Differentiate with respect to the variable x. You do not need to simplify your answer. Show your wor...

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Q: Find the derivative of f(#) v5-tan(r)

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Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to th...

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Q: Solve the system of equations by any method. -4x + 32y = 12 x – 8y = -3 Enter the exact answer as an...

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Q: The standard height from the floor to the bull's-eye at which a standard darlboard is hung is 5 feet...

A: Missing dart on actual graph.

Q: Determine whether given differential equation is exact. If it is, find the solution. (5x + 4y) dx + ...

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Q: Use implicit differentiation to find dx xy = 8y %3D dy II

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Q: A manufacturer can sell x items at a price of rupees 5-х each . The cost price 100 of x items is Rs ...

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Q: Find the indefinite integral. [(sec e tan ()i + (tan t)3 + (2 sin t cos t)k] dt Integrate the given ...

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Q: At what points is the following function continuous? 3 x° + 8 x+2, x+ - 2 x? - 2 f(x) = - 3, X = - 2...

A: The given piecewise function is: f(x)=x3+8x2-4,          x≠2,  x≠-2-3x=-26x=2

Q: Find all local extreme values of the given function and identify each as a local maximum, local mini...

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Q: (c) The planes r + 2y – 32 = 1 and 2x + 4y- 62 =1 are parallel. (d) In general, if u(t) and v() are ...

A: We need to choose true or false.

Q: A wire 10 meters long is to be cut into two pieces. One piece will be shaped as a square, and the ot...

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Q: Find the derivative of the function at the given point in the direction of A. f(x.y) = 7x + 8y, (-3,...

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Q: help with a, b and c please

A: We have to find the points on the ellipse that are farthest from point (1,0).

Q: Use the method of Lagrange multipliers to find the absolute extrema of f if f (x, y, z) = x2 + y? + ...

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Q: (a) Let f(r) = sin (1) Find f'(x). f'(x) = (b) Let f(r) = sin (ar). Find f"(x) f'(x)=

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Q: x = 1 – t², y = t – 2, –2 <t< 2

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Q: What is the general solution of 3 (3z + y') dz – 2zydy = 0?

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Q: Use implicit differentiation to find the specified derivative at the given point. dy Find dx at the ...

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Q: Find the solution of the differential equation that satisfies the given initial condition. dP 5V Pt,...

A: Given query is to solve the initial condition differential equation.