Answer the question below: The student should identify the cartesian equation of a given plane that is tangent to the parametric surface R(x, y) =< y² sin x – 4, e*Iny, y³ – 2 tan x > at the points where (xy)=(0,1)

Q: Find the derivative of the function without using the Quotient Rule. y =

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Q: eract answers in terms of i,j and k. Same direction as – 2i +3j. - u =

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: dy J.1+ Vy+ a a + aln 2. a Idx 3. x³dx = a/x2 – 16 +V(x² – 16)8 + C - 16 4. V25 – x²dx av25 – x2 1 |...

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Q: Find the general solution to the differential equation. dx 130 dt : = 3r° (x² + 4) -

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Q: Evaluate the series or state that it diverges. 00 k = 0 Select the correct choice below and, if nece...

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Q: find the Domain and Range 1. f(x)=/2-x 2. f(x)=\x|–3 2x 3. f(x)=- r-1 4. f(r)= 2r-1 3x+9

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Q: dV E = dx d(a+bx) E = - dx E = -(b)

A: Consider  V=a+bxE=-dVdx

Q: tan(5x) (1) lim 40 sin(3x) sin(6x) (2) lim x-0 4x3 – 5x

A: 1) limx_0tan(5x)/sin(3x) 2)limx-0sin(6x)/(4x3-5x). 

Q: J sin³ycos ydy. Evaluate: cos y A cosy C 6 8 cosºy B cosoy +C 8 6 c) none of the given choices cosºy...

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Q: Question 7 A function is given implicitly by the equation 16ry– 6 = cx + y². a) Determine the value ...

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Q: Speedometer readings for a vehicle (in motion) at 9-second intervals are given in the table. t(sec) ...

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Q: Given lim f(z) = 5 and lim g(x) = 6, evaluate: %3D %3D lim (– 6f(z) + 6g(z)) = 66 z+7 lim (– 6+ 6f(x...

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Q: A particle moves in a straight line according to a law of motion s = f (t), t> 0, where t is measure...

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Q: 33 Calculate the volume of the solid produced by rotating the region enclosed by about the y-axis y ...

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Q: 3. (y+– 2xy)dx+ 3x²dy=0 (Using BDE)

A: I am attaching image so that you understand each and every step.

Q: Simplity and write the final equation in general form. y-5- -1x -(-7)) The eution of the parle e

A: We need to simplify the equation.

Q: Given cost and price (demand) functions C(q) = 100q + 42,000 and p(g) = - 1.9q + 870, how many items...

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Q: Use the first derivative to find all critical points and use the second derivative to find all infle...

A: Explanation of the answer is as follows

Q: The annual sales S of a new product are given by 6000t2 7 + t2' where t is time in years. Osts 3 (a)...

A: The answer is in below steps.

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your a...

A: Given query is to find the interval where graph concave up and down.

Q: Car 1 is heading due south from Mathtown at a rate of 41 miles per hour. Car 2 is heading due west f...

A: Explanation of the answer is as follows

Q: Given Cost and Revenue functions C(g) = q° - 8q + 53q + 5000 and R(q) = - 3q + 2400q, what quantity ...

A: Here, the cost and revenue functions are: C(q)=q3-8q2+53q+5000 &amp; R(q)=-3q2+2400q

Q: it x and y are both differentiable functions of t and find the required = 2 (x² – 3r) Find dy/dt whe...

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Q: Fln)(8) = (-1)"+1 (n²+3) n! Find the Taylor series for f(x) centered at 8 if Σ n = 0 8.

A: Find Taylor series. 

Q: A fire truck is to be added to a certain district. Which district should get the Fire truck?   Are...

A: Given: - A fire truck is to be added to a certain district. Area No. of fire Trucks Number of hou...

Q: n cost and price (demand) functions C(q) = 100g + 43,000 and p(g) = - 2g + 900, what is the maximum ...

A: Please refer to the image below

Q: From the following equation  2x^3+2x^2-16x+20 Find the following  Increasing and decreasing inter...

A: Explained below 

Q: A company produces a special new type of TV. The company has fixed costs of $478,000, and it costs $...

A: Let the demand function be p=ax+b Such that, a and b are constants. x is the no. of units being sold...

Q: Your are driving away from New Orleans. Your distance (in miles) away from New Orleans x hours after...

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Q: Find the first five non-zero terms of power series representation centered at x=0 for the function b...

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Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an an...

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Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 1...

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Q: 21. Evaluate [sin* 0] d0 3t 16 ||

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Q: The integral of x²Inx with respect to x is; A -(3lnx+1) +C ® (3lnx – 1) +C © 3lnx – 1) +C 3 D -(Inx ...

A: Product rule of integration : ∫u.v dx = u∫v dx -∫dudx∫vdxdx dlnxdx = 1x ∫xn dx = xn+1n+1 +C In Produ...

Q: Let the region R be the area enclosed by the function f (x) = 2/x, the x-axis and = 5. Find the volu...

A: Find your answer below 

Q: 2. Use the appropriate integral theorem (and state which one you are using) to evaluate Lr*y dr – ry...

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Q: Use the given information to determine the remaining five trigonometric values. Rationalize any deno...

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Q: State whether the function is a probability mass function or not. If not, explain why not. f= {(1,0....

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Q: tell

A: We have to find the following conditions according to the given information

Q: State whether the function is a probability mass function or not. If not, explain why not. f(x) = 1 ...

A: We have the following conditions for probability mass function. i) All values should finite and disc...

Q: Match the Integrals on the left side with the appropriate technique of integration to use on the rig...

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Q: he volume bounded by y = x², y = 0 and x = 2 rotated about the specified = specified orientation of ...

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Q: If a and b are unit vectors in R', show that ||a x b||? + (a · b)² = 1. %3D

A: On solving this we will get:-

Q: Question 8. Compute the indefinite integral using integration by parts. In xdx

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Q: The graph of y= f(x) (solid) and y = g(x) (dashed) is shown 6+ 4- -6 -5 -4 -3 -2 -1 5 -2- -3- -4 -5 ...

A: topic - limits

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not e...

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Q: Suppose lim f= 21 and lim g = 12. Select the correct value for lim (f g).

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Q: State whether the function is a probability mass function or not. If not, explain why not. f= {(2,0....

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Q: 1. Math the description of f(x) with the graph of its derivative f'(x) in the below figures. Give th...

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Q: A solid is formed by revolving about the y-axis, the area bounded by the curve x³=y, the y-axis and ...

A: Given: - A solid formed by revolving about the y-axis, the area bounded by the curve x3=y, the y-axi...