Suppose that z = x/y, where x and y are differentiable functions of u and v such that x = dx/dv 3, у %3D 1, Әх/әи = 4, дх/дv — — 1, and дy/дv — — 2 when и — 2 —2, ду/ди -2 when u = and ν - 1. When u = 2 and v = 1, Әz/ди and az/av = dz dz

Q: sin x dx 1. V2-cos2x

A: integration

Q: 3. At 2:00P.M, a thermometer reading is 80°F is taken outside where the air temperature is 20°F. At…

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Q: z = 0, y = 1, у %3D1, z = x² + y? y = x².

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Q: Given the function g(x) = 6x° + 72r² + 270z, find the first derivative, g' (1). gʻ(x) = Notice that…

A: g'x = derivative of gx with respect to x g''x = derivative of g'x with respect to x if at  point…

Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). ||r'(t)||³ r(t) : = 11 cos(3t)i +11 sin(3t)j +…

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Q: 2 2 of

A: Please see the answer below.

Q: Describe the graph of the equation. r = -6i+ (1 – t?)j + t k O It is a parabola in the plane z = -6,…

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Q: Given that 5i is a zero of p, write the polynomial in factored form as a product of linear factors:…

A: Given that the polynomial is a6-11a5+65a4-331a3+1024a2-1400a+600 and 5i is a zero of the polynomial.…

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Differentiate the following functions: i. v = 15/7(12/7+ 3t) (2x – 9) f(x) = x + 4 ii. iii. y =…

A: We can solve this as follows:

Q: Obtain the value of P3 (x) using Rodrigues' formula d" P,(x) = (x² – 1)" (2")n! dx"

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Q: 13. Explain in your own words what a limit is. Use several diagrams and be sure to consider lim…

A: This is a problem of limit. Based on the general formula we will answer the question.

Q: Evaluate the limit sin 9x lim I0 sin 3x

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Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

A: We can solve this as follows:

Q: The function f(x) = – 4x* + 6.24x² + 53.784x + 1.62 is increasing on the open interval ( It is…

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Q: t the end of 8 years, Beth will have approximately S Do not round until the final answer. Then round…

A: Use half yearly compounded formula.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. F(x) = xe¬x²/128,…

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Q: 12 Given: F : =â, determine F•â. 2

A: r→=xa^x+ya^y+za^zr=x2+y2+z2a^r=r→r

Q: Solve for X in the equation, where -4 -3 A = and B = 5 3 -3 -2 -5 ABHTOMA RD 2X + ЗА 3 В

A: The given matrix,A=-4-3203-3 and B=0250-2-5

Q: If 10% of a radioactive substance disintegrates in 4 days, what is its half-life

A: Follow the procedure given below.

Q: y = 2 ||

A: We have to find the derivative of the function y = 1-x2ex2

Q: Determine an expression, in simplified form, for the slope of the secant PQ with P(1, 2) and Q(1 +…

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Q: dx 4. S

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Q: A bacteria culture is growing at a rate of r(t) = 8e0.6t thousand bacteria per hour after t hours.…

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Q: Evaluate the indefinite integral. x2 dx V0.2x3 + 2.7 + C

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Q: QUESTION 3. a) Find the general solution of y" - 2 --= 0

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Q: у" - (а + В)у' + авy %3D 0

A: Given

Q: d) Classify the differential equation as separable, exact, homogeneous, or Bernoulli. The equation…

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Q: 3. Find the absolute maximum value of the function f(x)=- 1+x2

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Q: Find the area of the region outside r = 5 + 5 sin 0 , but inside r = 15 sin 0.

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Find the domain of r(t) and the value of r(to).

Q: Suppose we are given an integral of the form f f(g(x)) · g'(x) dx. We can transform this into…

A: The objective of the question is choose the correct option.

Q: 2/ Find the value of the limit: lim x/*,

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Q: Determine the value of c for which 42 8n lim (1+ n00 cn

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Q: velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2 - 2t…

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Q: Find S(sin20cose + cos30)d0

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Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A: To find the area of the region enclosed between the two curves.

Q: The Inverse Laplace Transform for 5/3S - 2/ ((3(s+3)) is

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Q: d= 3 m

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Q: d²y 2. Find the second derivative, dx² a. x = t² + 1 and y = t³ b. x = - t2 + 2 and y = sin(t+ 1)

A: Let's find.

Q: Match the vector field with its graph. F(x, y) = yi 5 -5+ 5 5 -5+

A: Given data÷

Q: Question 1 Area bounded by the curves y=e", y=e", x=0 and x=In2 A 604/9 B 502/9 304/7 304/14

A: Ara of the above bounded curve is given by

Q: Consider the polar curves C2 :r = 4 cos 0 and C3 : r = 4 sin 0. %3D (a) Determine the slope of the…

A: C2: r=4cosθ       red colorC3: r=4sinθ        green color

Q: Find f(-5e3* + VE)dt

A:

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from z = 0 to r = 1…

A: The curve y=3x32-4, from x=0 to x=1

Q: A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second quadrant…

A: Suppose the line is: xa+yb=1 where a and b are the x and y intercepts respectively. Now, it passes…

Q: An oil tank is being drained for cleaning. After t minutes there are Vlitres of oil left in the…

A: Determine the rate of change of volume at the time t = 10??

Q: ) Find for the following functions (choose five only): dx 1. y = 2* + e2x-1 2. y = sec x tan x 3. y…

A: We can solve this as follows:

Q: 12. S,(s² – 1) sds 13. (1² - t) dt

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Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

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