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Q: Calculate the derivative indicated. d*y dx4 Ix=6+ Y = 9x-3/4

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Q: If x^2/36 + y^2/25 = 1 and y(1) = 4.93, find y’(1) by implicit differentiation.

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Q: Find the absolute extrema of f(r) = x/4 x on the interval [-1, 2]

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: Find the dimensions that give the largest area for the rectangle shown in the figure. Its base is on...

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Q: Describe how to find the inverse of a one-to-one function.

A: we have to describe how to find the inverse of a one-to-one function. let a function be y=f(x),then ...

Q: angle between A and B.

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Q: dy + P(x) = Q(x) A. Write the given D.E in the standard form de P (X) = b. Q(x) = a. O = eS P dx %3D...

A: Consider the equation

Q: Use logarithm differentiation to find day/do for the function

A: y=x3+5e2x2x-1taking log on both sidelogy=logx3+5e2x2x-1apply log propertieslogy=log(x3+5)-loge2x-12l...

Q: Lana drove from Iowa City to Smallville at a speed of 50 mph. On the way back, she drove at 75 mph....

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Q: A hot air balloon is tethered at an angle of elevation of a/6. The rope holding the balloon is being...

A: Given Data: The angle of elevation is: α=π6 The rate at which the rope is being brought is: dxdt=-4 ...

Q: Find u ∙ (v × w) if u = ⟨1, 1, 1⟩ , v = ⟨2, 1, 0⟩, w = ⟨0, 0, 1⟩

A: Given: u=1,1,1, v=2,1,0, w=0,0,1 we know that scaler triple product S.T.P. of given three vectors x1...

Q: How to solve these questions?

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Q: Maximizing Profits The quantity demanded each month of the Walter Serkin recording of Beethoven's Mo...

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Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (I...

A: Given function ft=2t+1t

Q: The logistic growth function models the percentage, P(x), of Americans who are x years old with some...

A: Given: Px=901+271e-0.122x

Q: Consider the following. f(x) = 3x√(4-x2), [-2, 2]a. Use a computer algebra system to differentiate t...

A: Consider the given function, fx=3x4-x2 used differentiation formulas, ddxxn=nxn-1ddxconstant=0ddxCfx...

Q: The cost C (in dollars) for ordering and storing x units is C = 8x + 200000 What order size will pro...

A: The cost for ordering and storing x units is shown below, C=8x+300,000x What order size will produce...

Q: Find the average rate of change of the function over the given interval f(t)=2t+3 [4,6] = Compare...

A: Consider the given function: ft=2t+3 ; 4,6 Here, the objective is to find the average rate of change...

Q: Find a formula for the nth term of the sequence:

A: We have to find the formula for nth term of the sequence: 51,82,116,1424,17120...... Here we have to...

Q: The area on the first quadrant bounded by the parabola x2 = 8y, x = 4, and the x – axis is revolved ...

A: the area on the first quadrant bounded by the parabola x2=8y, x=4, and the x axis is revolved about ...

Q: Evaluate the Triple Integral

A: Given, the region E lies below the plane z = x and above the triangular region with vertices 0,0,0, ...

Q: ces of “roti canai" in a da

A: Makcik Kiah is a roti canai seller . The daily profit that she can obtain in RM is given by function...

Q: $20,000 invested for 14 years compounded at 8% semiannually results in how many compounding periods ...

A: Given principle amount(p) = $20000 Interest rate(r) = 8% = 0.08 Compounded semiannully(n) = 2 Time i...

Q: 1. (a) The matrix I = is called an matrix. (b) If A is a 2 x 2 matrix, then A X I = and IXA = (c) If...

A: We know that matrix representation of identity matrix is as follows: 10012×2 Here order of matrix is...

Q: A rectangle has one side of 10 cm. How fast is the area of the rectangle changing at the instant whe...

A: Given that: Let the one side of rectangle is (a) = 10 cm and the other side of rectangle is (b)= 18 ...

Q: Suppose that the differentiable function y = f(x) has an inverse, that the graph of f passes through...

A: first we find equation of line which passes through (2,5) and slope (m)=1/4 y-5=m(x-2) y-5=14(x-2)4y...

Q: Please very soon full explanation

A: The equation for an+2=-12an+1+12an where n≥1. Isolate the value of an on one side of the equation an...

Q: a. Express the volume of the wedge in the first octant that is cut from the cylinder y2+z2=1 by the ...

A: a) Express the volume of the wedge in the first octant that is cut from the cylinder y2+z2=1by th...

Q: i) What is the degree of f ?ii) Determine the zeros of f and their multiplicities.Also, determine wh...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: 53-54 - Solving a Matrix Equation Solve the matrix equation by multiplying each side by the appropri...

A: 53. The matrix equation is 3-2-43xyzuvw=10-1213

Q: In problems determine by inspection at least two solutions of the 1. x dy/dx =2y, y(0)=0

A: Given: xdydx=2y, y0=0 for solving given differential equation we will use variable separable method

Q: X dy/dx =y

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Q: Chicago has a temperature of -7 degrees Fahreneheit ( °°F). It is colder in Boston than in Chicago. ...

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Q: Find the general solution to the given differential equation. (Use C for the constant of integration...

A: Given differential equation is dydx=x3y

Q: The set of all points in a plane that are equidistant from a fixed point is a/an_______ . The fixed ...

A: we know that the set of all points in a plane that are equidistant from a fixed point is a circumfer...

Q: Integrate G(x, y, z) = x over the surface given by z = x2 + y for 0 ≤ x ≤ 1, -1 ≤ y ≤ 1.

A: The function is fx,y,z=x2+y-z=0 ......1 Gx,y,z=x ...

Q: Let sin t = a, cos t = b, and tan t = c. Write the expression sin(-t - 2π) + cos(-t - 4π) - tan(-t -...

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Q: 8. ( Consider the curve defined by the equation y" = 529. %3D Use logarithmic differentiation to fin...

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