(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z? = 14, (1, 3, 2) %3D (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox- 1 У - 3 z - 2 %3D %3D 14 14 14 %3D 14 14 14 Ox-1 y - 3 1 Ox - 1 = y - 3 = z - 2 OX = Y = z 1 3 2 z - 2 3 2

Q: from straight shoreline. There is a floating and 4 Km Jack is land from shoreline from on an 3Km…

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 4· 10…

A:

Q: Use the graph of f(x) to determine whether the function is one-to-one. If it is, find a formula for…

A:

Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

A:

Q: Xi -3 -1 0. -2 1 f(xi) 7.1 -4.3 -3 -2.6 -0.6 Given that the above data was extracted from the…

A:

Q: (6e + 6x°+ 4 cos a + 2)dx 6e + x° + c 4 cos a + 2x +

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: Determine the points of inflection for the function y = 2x' – 3x² –12x+2 (show an interval chart or…

A:

Q: The amplitude of y = sin x is ____________________ units.

A: Topic = Functions The amplitude of y = sin x is 1 unit.

Q: Find rye"ty dyda

A:

Q: nd d²x/dt² as a function of if 4 = 7x sin x.

A: Given query is to find the derivative of the the expression.

Q: Problem3. Solve 4 + 3log(2x) = 16. %3D

A: We can solve the equation as below using properties of log.

Q: Use the Integral Test to determine whether the infinite series is convergent. Σ n2 n=19 (n3 + 6) ?…

A:

Q: |(3e" + 5z" + 6 cos a + 2)dr = 3e" +a* + 6 cos a + 2r + c ez - a + cos a + 2+c 3e* + 25 + 6 sin z +…

A:

Q: 2-x )Use the guidelines of this section to sketch the curve y3x-12VX.

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the limit of the 4 n + 2 sequence lim . Show your work. V2 n+4 n- 00

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Quly Please Solve the tollowing the paots of gntegoation dt 2 t#3 2t+1 dt (モ+4)t+2) (= हवंये स

A:

Q: e piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

A: Given query is to find the Indicated integral.

Q: Find the absolute maximum value of f(x) = x² - 2x +9 over the interval [0, 5] |

A: Given problem:- Find the absolute maximum value of f(x) = x2 - 2x + 9 over the interval [0,5]

Q: Given the triangle below, find the exact value for sec(@). 13 12

A:

Q: The graph of the function f is given. y 24 18 y = f\x) 12 6 12 18 24 30 36 (a) Use six rectangles to…

A: Midpoint sum = h∑i=0n-1fxi+xi+12…

Q: 10. Find the average value of the function f (x) x + Vx %D on the interval xe[0,8]. Graph on Desmos.

A: Given problem:- Find the average value of the function f(x)=(1/2)x+x(1/3) on the interval xe [0,8].…

Q: Evaluate the definite integral. n/2 sin*(x) cos(x) dx = -n/2

A:

Q: 1. Which of the following is a solution to the equation sin (x) + 2 = 1? 270 degrees 180 degrees 60…

A: Given problem:- Which of the following is a solution to the equation sin (x) + 2 = 1? 270 degrees…

Q: Answer the following True or False. Let f(x) be a continuous increasing nonnegative function. Then…

A: Let f(x) be a continuous increasing nonnegative function.Then the left endpoint Riemann sum…

Q: Note: Below we are using t as the variable for angles instead of 0. 1 Consider the following…

A:

Q: The function gives the cost to manufacture x items. C(x) = 25,000 + 50x + 800 ; x = 150 Find the…

A: We want to find average cost per unit of manufacturing.

Q: Find the derivative of the function. h(x) = e2x2 - 7x + 3/x %D h'(x) = ||

A:

Q: Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot with…

A:

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q)=−0.03q^2+6q−48 where qq is…

A: Given problem:- Suppose the Sunglasses Hut Company has a profit function given by P(q)=−0.03q2…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: A table of values for f, g, f ', and g' is given. f(x) g(x) f '(x) g'(x) 3 2 4 2 1 8. 7 3 2 9. (a)…

A: Consider the table

Q: Airport B is 300 mi from airport A at a bearing N 60°E (see the figure).A pilot wishing to fly from…

A:

Q: Find the tangent plane at P = (xo, Yo, Zo) = (1,2, 8) to the graph of f(x,y) = 2x?y+ y² %3D

A:

Q: Find the indicated derivative. In this case, the independent variable is a (unspecified)…

A:

Q: Problem 5. What is the correct form of the partial fraction decomposition for the following…

A:

Q: The region D = {(x, y) : 0 < x < 1, 0 < y <1– x} represents in R?: Select one: A circular region. O…

A:

Q: Quly Please paots of antegation Solve the tollowing the 17 3. 3

A:

Q: Find the absolute maximum value of f(x) = x? 2x + 12 over the interval [0, 4] -

A:

Q: Solve the inequality. (Enter your answer using interval notation.) 4x2 - 16x 2 0 Graph the solution…

A: 4x2 -16x  &gt; 0 x(4x-16) &gt; 0 x &gt; 0    and 4x -16&gt; 0 x &gt; 0    and   x &gt; 4 so here…

Q: Determine the instantaneous velocity of the object when t = your answer. 3. Include units on

A: Instantaneous velocity involves derivative.

Q: integral is 3 1 y IT (6 x² y -4 e')dxdy= ? -1 y 942 O - 16e3 + 5 932 O - 16e + 5 None of he others…

A: Given query is to find the value of the integral.

Q: Write the sum using sigma notation: A 9+ 13+17+21+-..+ 37 > B, where 72 A

A:

Q: Consider the geometric series 2n+1 Σ 25 (-3)" n=0 a) I: i What is the first term of the series First…

A:

Q: 15. Which of the following functions has an asymptote located at x = 2 cosine sine tangent cotangent

A: We have to choose the correct option from the given options

Q: Evaluate the iterated integral " (3x + y) 2 dyda

A:

Q: 3x2 + 2x – 10 A + -1 B C al I x3 + x? - 10x + 8 dx using x+4 x- 2

A:

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (4, 0,…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point.   g(x, y) =…

Q: Find the Maclaurin series of the function. f(x) = In (1 – 6x) %3D Choose the Maclaurin series. 6"x"…

A: f(x)=ln(1-6x)f(0)=0f'(x)=11-6x(-6)f'(x)=66x-1f'(0)=-6f''(x)=-36(6x-1)2f''(0)=-36f'''(x)=432(6x-1)3f'…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (5, 8, –1) Vw(5, 8, -1) =…

A:

Q: 2. Find the arc length of x =t?, y = (6t +9)2 from t = 0 to t = 4.

A: