Multiply, and express answers using positive exponents only. 3z1/8 (527/8-4216)

Q: When a Rational Function has been simplified and graphed, it shows: 3 Vertical Asymptotes, 2 Points…

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Q: Element X has a half-life of 10 days. If we currently have a 25 ounce sample of Element X, how long…

A: NOTE: Refresh your page if you can't see any equations. . the half-life of the element X is p=10…

Q: The unit tangent vector for the parametrized curver (t) = (8, cos 2t, 2 sin 2t) at 0 < t < 2n is

A: To find the unit tangent vector

Q: Estimate f′(1)f′(1) where f(x)=x^3+1x^2−19x+4 to within one decimal place by using a small enough…

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Q: (D² + 4D + 8)y = 1 - 3x

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Q: Given the equation of parabola y² + 4x - 2y - 11 = 0, find the following: A. Standard form / Vertex…

A: Solution is here

Q: integral

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Q: EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²- 8x +9 at the point (2, -3).…

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Q: Find f=V 3 √x + y 6 02 f дудх

A: The given function is: fx,y=x3+y6   As we know that; The Chain rule: fgx'=f'gx·g'x The Power law:…

Q: Use the given function value and the trigonometric identities to find the exact value of each…

A: Topic = Trigonometry

Q: Q₁ Find the angle between every two vectors below ( Vate b) f-3i+2k and g=4i+4j-2k

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Q: Find the second derivative of y = e²x sin(3x)

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Q: Differentiate. y=9*• log 3x

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Q: Evaluate the integral. *π/4 [" sin ³(x) dx

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Q: Solve for x, y and z using (a) Cramer’s Rule, (b) Inverse Matrix Method

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Q: a.) √ 1 csc² x+sec² x cosx-cos³x - dx

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Q: Evaluate I si sin³(x) cos³(x) dx .

A: We have to evaluate  ∫sin5x cos3x dx.

Q: Finding the critical point(s) of f(x) on the given internal. f(x)=(2^x)sin(x) on [-2,6]

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Q: Now using L'Hospital rule evaluate the following: sin x tan x a) lim x →0 x³ b) Evaluate the limit…

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Q: . If the money is invested at a rate of 5% compounded continuously, when ill the amount triple?

A: Given: Interest = 5%

Q: rdp-(p+pr) dr = 0

A: Given :rdp-p+prdr=0

Q: dw dt = x²y = xy³, x = cos(t), y = et Find: @t= 0, when w =

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Q: 7- 7+3 7-2 + 3 北

A: Solution ) ( y + 3 )/( y - 2 ) + ( y - 3 )/( y + 1 )  L.C.M. of ( y - 2 ) ( y + 1) = ( y - 2 ) ( y +…

Q: waluate the triple integral III. zdV where E' is the solid bounded by the cylinder y² +29 and the…

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Q: Write the standard form of the equation of the circle with the given center and radius. Center…

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Q: Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: Given, z=xy+y ln(xy)

Q: Hi. It's kind of hard to understand the transcript. Do you have a handwritten solution? Thanks

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Q: 9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross-…

A: The given figure is shown below: A few more vertices were introduced in this figure.

Q: J x2 9-2 dx

A: Given ∫x29-x2dx

Q: Evaluate the following, using INTEGRATING FACTOR. (ex+y - y) dx + (x ex+y + 1)dy = 0

A: We have to solve the differential equation by integrating factor  (ex+y - y) dx + (x ex+y + 1)dy = 0…

Q: 15-16 Find the domain of each function. 1 - et² 15. (a) f(x) (b) f(x

A: Please refer to the image below

Q: A. If x² + 6xy + 3y², then y' is x+3y 3(x+y) B. 3x+y 3(x+y) If y = sin(x - y) find y'. cos(x-y) A.…

A: Here is the solution:

Q: 2. Consider S: x¹e² − yz² + xy = 0, where z is a differentiable function of the - two independent…

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Q: The curvature of a plane parametric curve x = f(t), y = g(t) is given by |x y - yx| [x² + y2]3/2…

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Q: If an IRA is a variable-rate investment for 15 years at rate r percent per year, compounded monthly,…

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Q: The distance (in feet) of an object from a point is given by s(t)=−5t^2+1where t is in seconds.…

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Q: Evaluate the limit: lim x-6 x² + x - 30 x + 6

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Q: Use a grapher to find all local maxima and minima and the values of x where they occur. Give values…

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Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

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Q: Qs Find the limits below ( a) lim(x,y)-(0,0) x2+y² 4xy²

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Q: Evaluate the following summation: Σk=0 (a + dk) Where x =8, a =7, and d = 3

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Q: 히증

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Q: 1. Evaluate the following integrals a) f16 V₁+√ dr dx b) f dx x+√√xn-m¹ where m and n are natural…

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Q: A. dne 3x5-4x²+1 X-00-7x³+x2+2 B. 0 Evaluate lim A. R The domain of y log(1-2x) is B. (-00, C., +00)…

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Q: Rewrite each of the following as a power function in the form kx", or state that it is not a power…

A: Given, 5x3;x3;72x

Q: x², and x = y³ (x) ≥ (0)| y = x

A: Given data:- The given equations are, y=x2x=y3 Where, x≥0

Q: What is the general solution of the differential equation below when x > 0, y > 0.  dy/dx = -x2y2

A: A detailed solution is given below.

Q: Let F(t)=sin(5t)i+2tj+t^3k and G(t)=t^6sin(5t)i+t^3j+5 ln(6t)k,find F(t)×G(t).

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Q: 7+3 + 4-2 Y-3

A: SOLVE THE GIVEN

Q: Iculate zu for z=₁₁₁x = e Z X 2u cos(3v), y = e²usin(=

A: We are given  z=2x-yx+3y, x=e2ucos3v, y=e2usin3v we have to evaluate zu=∂z∂u