Find the points on the surface 6x² + y² – 3z² = 4 where the tangent plane to the surface is parallel to the plane 2x + 7y – z = 6.

Q: Solve the problem. Solve the differential equation model of a population growth: dP 0.5P. dt O P(t)…

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Q: Find the area bounded by the graphs of the indicated equations over the given interval.     y=−ex​;…

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Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. S sin“…

A: To evaluate : ∫sin4⁡3xcos⁡3xdx Let I = ∫sin4⁡3xcos⁡3xdx Let sin3x = u Differentiating both sides we…

Q: Let the functions 13:R-¬R, with 3 メー X2 Proove that. V(4xs) =3 (Vx{)-4 (Vx)

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Q: Differentiate. 9. y e 10. y- e

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Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

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Q: Find the required limit or indicate that it does not exist. lim o+ (in (t6), 12 in t O 6i O Does not…

A: We have to find out

Q: 2) (-2)77"= 5h hzo

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Q: 1. Maximizing. Determine the region R in the xy-plane that maximizes the value of SR S(9 – a2 –…

A: To determine the range .

Q: Evaluate the integral 29 (2° – 2) dx -y making the substitution u = x° – 2. + C NOTE: Your answer…

A: Given query is to find the integral.

Q: lEvaluate the integral ×+ス de . x²+2x linlx?Cx+z)e X+2 (x+2)²|&7C Dinlx (x+2)I +c E) Inl x て) 12

A: Topic = Integration

Q: Given u = ( 5, -3, 8) and v (k, 2, 4) calculate k, by using only vector | = 2 7| concepts, where…

A: Topic = Vector

Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B=26°. (The figure is not…

A: Sine Laws : asin A=bsin B=csin C

Q: If {(=)dz = f(x)dx f(x)dx + f(x)da f(x)dx, what are the bounds of integration for the first…

A: Solution:

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Q: 1 for convergence, you can use the P-test. (You k2 k=1 To test the series could also use the…

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Q: P(0, 0, 0), Q(6, 6, 3)

A: answer is in next step

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Q: Solve the differential equation for general solution dy = - dx V y = 14x + C O y = /14x + C, or y =…

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Q: 10 10 If f(x) dr = 17 and f(x) dr= 12, then f (x) dr =5 A True B False

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Q: Plz

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Q: Calculate xz dS, where S is the cylinder (including the top and bottom) x + y = 16, 0 < z < 5. %3D

A: answer is in next step

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A: Given, y= sqrt(25-x²) y= 4

Q: Find ag and a, for the following geometric sequence. 4 4 12, - 4, 3 9 a5 = (Simplify your answer.)…

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Q: Given the supply function   p=​S(x)=10e0.02x−1   find the average price​ (in dollars) over the…

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Q: Answer is incorrect

A: Apologies for the inconvenience. In the second last line there was a calculation mistake.

Q: 22. (x+1)v2r-1 dr

A: Note: According to our expert guidelines only one individual question is to be answered kindly…

Q: Question 27 The position vector of a particle is r(t). Find the requested vector. The velocity at t…

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Q: x²+x dx x2+1

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: Here, the area bounded by the curves y=4+x, y=0, x=0, x=16 is given by: A=∫016∫04+xdy dx

Q: 162 + 1 Compute the given integral. 1 +C 16x2 + 1

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Q: 7. Let f(x,y)=9-x² – y² a. Find the maximum value of the directional derivative at the point (1,2)…

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Q: The sum of the digits of a three-digit number is 11. The tens digit is three times the hundreds…

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Q: The astroid curve below is defined by the parametric equations x(t) = 2 cos' t, y(t) =2sin't.…

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Q: The company can sell the item for $90,000 each. a) Write a cost function C(x) and a revenue function…

A: Given query is to find cost function, revenue function and profit function.

Q: -2 12) Find the sum of the Series 2".30" A C) D) 2 E) 9

A: Let    I= ∑n=1∞2n3-n-2Rewriting 2n3-n-2=2n3-n3-2                                  =2n3n×132…

Q: 5. 7=-7ī -14]- 21k, p=(-4,8,12) 6. i = (5,0,-2). = (4,-7.10)

A: if  their dot product is  equal to zero then they are orthogonal

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A: Given query is to find series converges or diverges.

Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. -dx…

A: using method of substitution

Q: Evaluate the definite integral. (Round your answer to two decimal places.) 1 9 (cosh(x))² dx

A: cos h(2x)=cos h2x +sin h2xcos h(2x)=2cos h2x -1cos h(2x)=1+2sin h2xcos h2x =1+ cos h (2x)2

Q: Evaluate the integral by making the appropriate substitution: u = NOTE: Your answer should be in…

A: On solving this we will get:-

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Q: V10x – 7y – 10 Find lim by rewriting the fraction first. 10x - 7y – 100 (x,y)→(10,0) 10x - 7y + 100

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Q: 12 and sin 0 < 0, find (Please show the solution.) 5 If tan 0 = %3D - (a) sin 20 (b) cos 20 (c) tan…

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Q: Find the equation of the tangent line to the curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: 6. lim (sinx)*

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Q: 5. Use a Maclaurin series derived in class to obtain the Maclaurin series for the given function.…

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Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B 26°. (The figure is not…

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Q: 2. lim (e* – 1)lnx

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Q: Find the exact average value fave Of f(x) = V4 - x between 0 and 2, then find an exact number c in…

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