Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.) (0, 0, 25), (10, 10, 0) (a) parametric equations (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.)

Q: >(6k – 4)(7k + 3) - k=1 Enter your answer as a number without any arithmetic symbols. Sum =

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Q: Find all partial derivatives of w = x sin(yz) – z In(xy)

A: To find all the partial derivative.

Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: Let f(x) = 1, for all x E (0,1). Is f continuous on (0, 1)? Is f uniformly continuous on (0, 1)?…

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Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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Q: Find the arc length of the parametric curve. x = 24 cos(t), y = 24 sin(t), z = 7t; 0<t< T L =|25

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Q: Find the x-value maximizing the shaded area on the interval 0 < x < 18. One vertex is on the graph…

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Q: Q2// Solve the following differential equation: e²y dx + 2(xe²y – y)dy = 0

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Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

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Q: Determine the value of 7A+5B if 19x2 + 43x + 14 Cr + B (x+1)2 A (x – 1)(x +1)? Answer:

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Q: x²+x dx (x²+1)(x+2)

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Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

Q: Use Chain Rule to find ds given w = Vr² – 2y + z² and r = cos (st), y = -2s Int and z = s –

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Q: From the graph below which statement is true?   (A) not a function (B) function; range: R (C)…

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Q: Use the mean value theorem to prove the inequality for all a and b: |sina – sinb| < |a – b|.

A: Let, f(x)=sin x then the function is continuous and differentiable for all the real numbers hence on…

Q: Begin with the Maclaurin (Taylor) series: cos r = 1 - 2! 4! 6! (a) Evaluate cos 0. (b) List the…

A: According to the guidelines, we are instructed to answer 1 question or 3 sub question,the others can…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Find the area that the curve encloses and then sketch it. r = 11(1 + cos ?)

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: -1

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Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. LV16 – x² dx

A: Here we have to use areas to evaluate the integrals.

Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Maximize z = 3x…

A: Here, the feasible region by the curves x+y≤1034x+y≤160y≥23x,y≥0 is:

Q: B: .A card is drawn from a well shuffled pack of (iv) a card of diamond (v) a king or a queen

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Q: upper hall of the unit sphere x =) = 32'i+3xj-3 y'k.

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Q: Solve the differential equation dy 1 dx Зу3 By the method of separating the variables

A: To solve the given differential equation.

Q: Let g(x) = | f(t) dt, where f is the function whose graph is shown. y f 4 4 20 (a) Evaluate g(0),…

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Q: In order to evaluate Vr2 – 10x + 29 dx, the correct substitution is Ox=-5+2 tan(t) Ox=2+5tan(t) Oa =…

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Q: n 9 = k=1 Note: Your answer should be in terms of n.

A: Solve the given

Q: consider a function f (x) vihose derivative f"(x) is continuous as shown belowr. Graph of f'(x), NOT…

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Q: The u(x) that converts the equation below into an exact equation x\dy + (2x?e" + 1) = 0 ey + y) dx…

A: Let's find.

Q: Evaluate the definite integral. 12 dx 25 + 2x 2

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Q: Below is a graph of f(x) = sin x. Find the total area trapped between the curve f(x), the x-axis,…

A: Follow the procedure given below.

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: Given that a card is drawn from a well-shuffled pack of 52 cards To find the probability of (iv) a…

Q: Let й -, й- where A and Bare some constants. Given that ü+ 50 = find the value of the product A.B.…

A: A. B=48

Q: Use the properties to evaluate the integrals. S (1+) du 1.

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Q: Evaluate y' of the given functions: (х-4) y = x2

A: Here is the solution:

Q: In order to solve with we first After where c is the y' we have - 3x² ex 2y - 5 the variables. This…

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Q: (a) [1.1] (b) [1.1] (c) [-0.1] (d) [-0.1] (e) [2.99] () [-2,99]

A: We have to find the value

Q: Find an equation for the tangent plane to the surface given by f(x,y)=÷(4x² – 2y²) at the point…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 11)i + tj; t = 11 T(11) : N(11)

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Q: A 16 cm x 10 cm open rectangular box is to be constructed by cutting square corners out of a piece…

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Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

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Q: Select all of the following graphs which represent y as a function of z, 24 REEF

A: Graphs are given, we have to find a graph that represents y as a function of x.

Q: 1 dx x+1 1

A: Evaluate improper integral

Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: To show whether the given statement is true or false .

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) : (t…

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

Q: A-28. 3. |A| = 3, B = 8, and the angle formed by A and B is 45°. Determine A - 2B

A: We have to solve above question

Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

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