Given w = xysin(z*), x- s-t, y = s°, z= t°. Find dw = xsin z ysin z O Option 1 Option 2 aw - -ysin z Option 3 none of the above

Q: x²-4 6. f(x) = si x # 2 x-2 5 a. Halla el Dominio b. Evalúe: 1) f (0) 2) f (-3) 3) f (2) si x = 2

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Q: 3. Use g(x)=e* (x-a) and g'(x) =-2e (x-a)(x-ax-1) to answer the questions. a) Find lim g(x) and lim ...

A: This question is based on Finding limits using L hospitals rule.

Q: Find the limit (if it exists) or select it does not exist. 10y2 (x.y)-(0,0) x + y lim O A. O B. Limi...

A: We can solve limit as follows  

Q: dfy dy and dx dx? Use implicit differentiation to find 3x+ 2y² = 4

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Q: - 0.13t If C(t) = 79.8t e ng of a drug in a person's systemt hours after the drug is administered, h...

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: 1. Find the derivatives of each of the following functions. (a) f(x) = cos rInr Of(z) = In(cos ) %3D...

A: Given: (a) f(x)=cosxlnx

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Solution is written in below steps.

Q: If I have a C(t) = 55te^-.3t measures the concentration in ng/ml, what is the peak concentration of ...

A: This question can be solved by applying the concept of maxima and minima.

Q: Does the following series converge or diverge? - 3n? Σ 2 n=1 O The series diverges. O The series con...

A: This question can be solved by applying the concept of ratio test.

Q: x2 + y2 + 1)dx- (xy +y)dy =

A: Follow the procedure given below.

Q: Sketch the region enclosed by the given curves. x = 3y2, x = 4 + 2y2 y y 12 10 8 6 6 8 10 12 2 1 2 y...

A: The region is enclosed by the curves,x=3y2, x=4+2y2

Q: 1. Differentiate. Do not simplify. 7 a. f(x) =- 2x3 5x6 8x b. f(x) = 2Vx – 3x c. f(x) = (2x – 1)³(5x...

A: Note: As per our guidelines , we can solve first three subparts . please repost remaining subparts.

Q: ædx + ydy = (x² + y³)dæ a² + y? = Ce?= a² + y} = Ce=2s Option 1 Option 2 1 In (a² + 3°) = C in (z* +...

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Q: Given w = xysin(z ), x=s-t, y = s?, z= t2. Find . aw 2xyzcos z? aw az 2yzcos z? Option 1 Option 2 aw...

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Q: Find the parametrization for the line segment joining the points P(0,8,3) and Q(0, - 8,3). Draw coor...

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Q: (x – 3y + 3)dx + (3x + y + 9)dy = 0

A: Given differential equation, (x-3y+3)dx + (3x+y+9)dy =0

Q: Given the curve h(x)=x2−7, find the point on h(x) is closest to the point (57,−7). Enter your answer...

A: topic -curve and distance from a point

Q: 3. Use integration to determine the formula for the "equatior: given that : F(t) = ( 2t , 12e" , sin...

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Q: 6 36 36-y Top: y +z 36 Here is the region of integration of the integral dz dy dx. Rewrite the integ...

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Q: 4. t(x) = (x - 3)3 5. h(x) = -x² 6. f(x) = V=x 7. f(x) = 2x2 %3D

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Q: Test for convergence or divergence, using one of the tests listed below. n(n + 2) O converges O dive...

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Q: (2v2 + 4u²v)du + (4uv + 3u³)dv = 0

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

A: In this question we have to find the solution using logarithmic differentiation.

Q: (u4+v4)du - uv3dv = 0

A: Follow the procedure given below.

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 5....

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Q: a sin a + In v ) da + tan adv = 0 cos a (In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(A...

A: The solution is given in the next steps.

Q: Cavalieri's Principle states that if a family of parallel planes gives equal cross-sectional areas f...

A: We will use the  Cavalieri's principa to find the volume of the required surface.

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 0....

A: Surface area generated by revolving a curve y=f(x) about the x-axis from x=a to x=b is given by, S=2...

Q: Explain what it means to say that: lim_ h(x) - o and lim h(x) 13.7. - x → 5 x →9+

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Q: 6 3 Consider the function f(x) x2 = 0. Let F(x) be the antiderivative of f(x) with F(1) = Then F(x)

A: We can find the antiderivative of the given function by using the following formula.

Q: 1. The Average Rate of Change ("ARC") to. Given that f(x) = -2x² +4, what is the ARC: 1) From 0 to 2...

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please ...

Q: Two business students at Brock University decided to open a small company together to sell their own...

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 sin(x) + 3 cos(x), 0...

A: Solution: f(x)=3sin(x)+3cos(x)       on the interval: [0, 2pi] Take the derivative to both sides of ...

Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 14 cubic centimeters ...

A: For the solution follow the next step.

Q: ow far is the centroid of the area bounded by the curves y = e^x, y = e^-x, and x = 1 measured from ...

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Q: A tank, shaped like a cone has height.10 meters and base radius 3 meters long. It is placed so that ...

A: We have to find work done  to pull out all water from tank.

Q: Write the exponential equation - 10y in logarithmic form. QUESTION 17 5х — 1 Rewrite the expression ...

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Q: At the beginning of an experiment, a scientist has 108 grams of radioactive goo. After 150 minutes, ...

A: Solved below

Q: Topic: First order differential equations Analyze what solution you will use whether it is bernoulli...

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Q: Determine the signs of f' and f" for each of the intervals. y = f(x) A Bc'D'E'F'G

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Q: Use the Lagrange multiplier method to determine the maximum and minimum values of f(x,y) = 4x2 + 10y...

A: We use Lagrange multipliers method to find the maximum and minimum value of f(x,y) .first we find ou...

Q: dy 7. dx cos(x + y), when x = 0,y = 4

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Q: 6. Evaluate any 5 of the following 6 integrals. 1 dx 2+1 dr gª +1 (a) (b)

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Q: quotient (and remainder - if necessary). (2x3−x2−13x−6)÷(x+4) quotient= factored form=

A: Given query is to perform synthetic division.

Q: Suppose for a particular commodity, e=1.7 and that currently 50,000 units are selling for $12 each. ...

A: Solution is written in below steps.

Q: Differentiate the following function. f(x)=(x^4-4x)^2 f'(x)=

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