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Calculus

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Q: Can you help me solve this problem?

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Q: Find the limits by rewriting the fractions first.

A: Given lim(x,y)→(2,-4)y+4x2y-xy+4x2-4x

Q: Start with the equation sin(?) = cos(?). Use the unit circle interpretation of the circular function...

A: Given sin(α) = cos(α) Use the unit circle interpretation of the circular functions to fi...

Q: The radius of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of change ...

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Q: a. Find the local extrema of the function f(x) = 3 cos 2x + sin 2x on the interval 0SXSK, and say wh...

A: It is given that, f(x)=3cos2x+sin2x , on 0,πWe have to find the local extrema.

Q: By sketching the graph and using integration, find the area of the region bounded by, p*y² = x°(2P –...

A: P4y2=x5(2P-x) To Find: Sketching the graph and using integration, find the area of the region.

Q: Need both portions

A: Given, x=5cos(2t),y=5sin(2t),0≤t≤π2

Q: If x moves from a to a nearby value a + dx, how do you estimate the corresponding change in the valu...

A: If x moves from a to a+∆x, then the corresponding change in the value of a differentiable function f...

Q: find general solution of differential equation

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Q: 3z+5z2 Find the residues of f(z) = (2z²–4)3*

A: To Find: The residue of fz=3z+5z22z2-43 Concept: Residue at pole:Let fz has a pole at z0 of order m,...

Q: Solve : 3x2 - 27 = 0

A: Given, 3x2-27=0 Adding 27 on both sides we get, 3x2=27

Q: The purchase value of an office computer is $12,500. Its annual depreciation is $1875. Find the valu...

A: Given- The purchase value of an office computer is $12,500 and its annual depreciation is $1875. To ...

Q: y=

A: Given that: The points are - 3, 38 and ( 2, 12).

Q: Find the derivative of the function. h(t) = 8 ln(t3)

A: The given function is ht=8 lnt3. Obtain the derivative as follows.

Q: Find dy/dx. X = x = t?, y = 8 – 2t dy dx

A: givenx=t2 and y=8-2tdydt=-2dxdt=2t

Q: A cone circumscribes a sphere of radius 5 inches. If another sphere circumscribes this cone, what is...

A: To Find: If another sphere circumscribes this cone, what is the minimum surface area of this sphere ...

Q: Rewrite expression without absolute value bars. |√2 - 1 |

A: Given, 2-1

Q: Find the future value and interest earned if $8804.54 is invested for 9 years at 7% compounded semia...

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Q: Please help me! Thank you!

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Q: Use the given zero to find the remaining zeros of the polynomial function. (Enter your answers as a ...

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Q: 1. Given the indicated parts of triangle ABC, find the exact values of the remaining parts a.) β = 4...

A: Given values of the indicated triangle ABC are, (1) β =45° and c = 30 Let us consi...

Q: 1. Find the exact value a. cos (5π/4) b. cos (-11π/6) c. tan (5π/6) d. tan (-π/3) e. cot 120° f. cot...

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Q: I need help solving absolute maximum value and local maximum values.

A: Given, The graph of the function We have to find the absolute maximum and local maximum

Q: 15.3 4

A: F(x,y) = yexyi + xexyjF(x,y) = Pi + QjwhereP = yexyQ = xexy∂P∂y = 1+xyexy∂Q∂x = 1+xyexyHence∂P∂y -∂Q...

Q: #82 only

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Q: 15.4 10

A: Green's theorem is a vector identity which is equivalent to the curl theorem in the plane. Over a re...

Q: Calculate the probability of being dealt the following poker hand. (Recall that a poker player is de...

A: Determine the sample space N(S). Number of ways of selecting 5 cards out of 52 cards = 52C5So, N(S)...

Q: Calculate the deriv L tan2tdt d_ dx II

A: Derivation of is calculated as shown below

Q: Solve the differential equation. xy' + y = 20Vx

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Q: Problem 1: A general equation is given to determine the dependent variable S: S = KT – TL + T² + 100...

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Q: 15.7.1

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Q: Find the solution of the differential equation that satisfiesthe given initial condition.

A: Given information: The differential equation is dPdt=Pt. Calculation: Solve the given differential e...