11. Given x = 1 + t, y = 6, z = 3t + 7, the direction vector of the line is: a. (1, 0, – 3) b. (1, 6, 7) c. (5, 4, 3) x+2 12. Given *+² = = 27, the direction vector of the lines : a. (2,0,- 7) b. (3,- 5, 2) c. (5, 4, 4) d. (0, 0, 1) d. (1, 0, 0)

Q: Evaluate In x x (4 - In² x) - In 14- In² x | +C - 2 In 14-In² x | +C 12 -dx In | x (4- In²x) | +C In…

A:

Q: Use any method to determine whether the series converge. ∞ 1 (2) Σ 4k k=1 The series (5) Σ k=1 The…

A:

Q: 5. Two people on bikes are at the same place. One of the bikers starts riding directly north at a…

A: Two people on bikes are at the same place. One of the bikers starts riding directly north at a rate…

Q: Express the repeating decimal as a fraction. 0.474747...

A: Let's express as a fraction.

Q: a. [CO²2 2 cos²x√4 tan x tan² x da

A:

Q: nverse for the following functions. If it does not exist, show why. f(x)=2x-1 f(x)=√x-3 f(x) = |x-1|…

A: Topic:- calculus

Q: Two families went to Rollercoaster World. The Brown family paid $170 for 3 children and 2 adults.…

A: Disclaimer: Since you have asked for the handwritten solution but currently we are not providing any…

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny [the Low +¹Y2 ex+y dxdy 0

A: See the details solution in below

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

A:

Q: √√3 ल dx 1 + x 2

A: The given integral is 1/(1+x2) limit from sqrt(3) to sqrt(3)/3.

Q: -Q3/As the function f(x,y) = at (-1,2) xy 1 + x² + y² is Continuous

A: Here we have to check the continuity of the function at the given point.

Q: D) Find the parametric and symmetric equations of the line through the points (1,2,0) fic and sym of…

A:

Q: Given an acceleration function a(t)=, find velocity and position functions, given that v(0)= and…

A: We have to find solutions

Q: 4. Draw a sketch of the following angles. Identify the acute related angle (a) and draw the related…

A: Topic:- trigonometry

Q: Evaluate 1¹ 1 - cos 2x sin 2x dx In | csc 2x + cot 2x | -ln | sin 2x | +C In 1|csc 2x-cot 2x |--In |…

A: The given integral is: I=∫1-cos2xsin2x   As we know the common integrals; 1). ∫cscxdx=lncscx-cotx+C…

Q: A particle is moving on a straight line with the acceleration and initial velocity a(t) = 2t - 2,…

A:

Q: My - Nx If = =Q, where Q is a function of x only, then the differential N equation M + Ny' = 0 has…

A:

Q: The Cartesian coordinates of a point is (4, - 4√3). This point in polar coordinates can be…

A:

Q: Solve the following LONG DIVISION 6x³5x249x equation by using + 60 = 0

A:

Q: (a) Find where x² + 3xy + y² = 3 at (√3,0). da

A: topic- implicit differentiation

Q: Cn = COS * ´π(1+4n)` 2

A:

Q: Scotxde = f COS X sin x -dx

A:

Q: 6dx S: ³√x² x-

A:

Q: Solve for y esec(4y²-6y+14) = 3x + 1

A:

Q: Q1 (a) Interchange the order and evaluate the integration a+c 2x fa* ft* xy² dydx 0 a-2 c-6

A:

Q: What is the derivative of y = log, sec(e²x) Dxy = 2 e² tan (²) Dxy = 2 (log, e) e²x sec(e) tan(e) D,…

A:

Q: wal u a Write the vector shown below as a combination of vectors and 7 shown above. a Vector - 21+ V…

A:

Q: An electron is placed in electric of intensity 10^4 Newton per Coulomb. The electric force working…

A: Given : E = 104 Newton per Coulomb Force F is given as  F = qE

Q: What is the mass of body if the exerted force of 10 N is accelerated by 5 m/sec^2? O 4.5 kg O 1.5 kg…

A: Find mass of body

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: Describe and graph the regions in the first quadrant of the x1x2-plane determined by the given…

A:

Q: 2. Raya Is making a closed rectangular jewelry box with a square base. She is using two different…

A:

Q: Determine the critical point/s of f(x) = ln(x2 + 4x + 14) on [-4, 2]. ΟΧ -- -2 Οχ -3

A: Given, f(x)=ln(x2+4x+14) on [-4,2]

Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

A:

Q: Solve the integral. Show your solutions. Sỉ XUÂN ĐÃ

A: Given :∫13xe3xdx

Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny ex+y dxdy 0

A:

Q: Get a similar question = y = 5√x. and the change in y, Ay when x = 2 and Ax = 0.2 nd the…

A:

Q: dx √3 1 + x² ||| A B I✔ E & X Ⓡ 3

A:

Q: Q4- Solve the following differential equation: (1 + x²) dy + (y - tan-¹(x)) dx

A:

Q: 5. Find Oz дz дх and if x - z = arctan(yz) defines z implicitly as a function of x and y. ду

A:

Q: Calculate Differentiate. 1 = 2 z² + 1 f(z)

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: Find the Maclaurin series for f(x) = ln(1+r) using the definition of a Maclaurin series. Also, find…

A:

Q: EVALUATE S 4x²-x+4 x³+x²+2x+2 dx

A: A detailed solution is give

Q: Find the value of b for which the differential equation (yelory + x) dx + (bxe¹0ry) dy = 0 10xy is…

A:

Q: Find critical point of f(x)= 24x^2/3-8x

A: Find derivative of given function.

Q: f(x csc² 2x − x cos 2x)dx

A: Given problem:-  ∫(x csc2(2x) -x cos(2x)) dx

Q: Given the function f(x) = {2ª 2x x 2 which statement is FALSE at x=2? O The derivative from the…

A:

Q: J (11x + 17) dx 2x² + 7x - 4

A: We have to find Integration of given Integral.

Q: Please write the complete solutions. Upvote will be given! Consider the region bounded by y = x3, y…

A: Please write the complete solutions. Upvote will be given!   Consider the region bounded by y = x3,…