3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0) perpendicular to the plane x+2y+2z=13 h. The line through (2,3,0) perpendicular to the vectors u=i+2j+3k and v=3i+4j+5k i. The x-axis. j. The Z- - axis.

Q: Consider the improper integral and the propositions dx J = = 6of foo x² + 3 1- The integral J…

A: Find out the correct statement.

Q: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

Q: i can't understand the text. can you please write it on the paper? thank you

A:

Q: Find the exact value of each of the remaining trigonometric functions of 0. cos 0 = - 4 5 0 in…

A:

Q: Question 3 State the amplitude, period, phase shift, and vertical shift of f(x). Then describe the…

A:

Q: Use Newton's method to approximate a root of the equation e0.22² = 6 - as follows. Let #₁ = 1 be the…

A: Given :e0.2x2=6-xx1=1

Q: Find f'(x). f(x) = = O V 10x - sin²(7x) 1 f'(x) = = 2√/10 - 14cos(7x) 1 f(x) 2√10x - sin² (7x) 10…

A: This question is related to differentiation, We will solve it using given information.

Q: Find the integration by using Partial fraction method x² + 2x + 1 (x² + 1)² dx

A:

Q: x+2 lim x-2x²+4x+4

A:

Q: Q3/Evaluate: ff(x + y) dy dx for the region bounded by the x = 0, x = 2, y=x and y=x+2

A: Given

Q: Solve the given differential equations: == 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = 2

A:

Q: dy dx 3y x+1 || (x + 1) 4

A:

Q: 500 e4 ·∞0 1+e²4 1+ezy dy -00

A: To evaluate the following integral.∫-∞∞ eψ1+e2ψ dψ

Q: A tank contains 420 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram…

A:

Q: 1. The half-life, T, for a particular radioactive element is 3 min. Find the decay rate of the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: f Cos5x dx

A:

Q: If sin t = and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and tan (2 t)…

A:

Q: In September (30 days), the temperature in a particular city reached 100°F on 22 days. Also,…

A:

Q: 14. State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: The planes are,π1: x-y+z-2=0 and π2: 2x+y+z-4=0

Q: Which of the following gives the area of the region enclosed by the line y = -x-1 and the parabola…

A:

Q: 1. Consider the following statements: 1 I. 27x+3, 27x - 11, and 27x+ are antiderivatives of 27. 7…

A:

Q: Let F(x) = f(x¹) and G(x) = (f(x))4. You also know that a³ = 9, f(a) = 2, f'(a) = 15, f'(aª) = 6.…

A:

Q: 3x + 5, 13+¹6, Find a value of x, if any, at which f(x) = If f(x) is continuous for all values of x,…

A: Given: Notice that 3x+5 is continuous for x<4 and 13+16/x is continuous for x>4. Now, we need…

Q: Evaluate O O O O K|4 2 6 wo|= • S² +2²+1 dt. - 3

A: Here is the solution:

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Given problem:- Find the absolute extrema if they exist, as well as all values of x where they…

Q: If f(x) = 6 sin¯¹(x²), find ƒ'(x). Find ƒ'(0.5).

A: This question is related to differentiation, We will solve it using given using given information.

Q: d dx [3 sin³ (tan √x² + 3x²)] d [(x² + 1) cotx dx 3 cos x csc x

A: Given

Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

A:

Q: - 6x + 2 on the domain [-7,2]. Find the absolute extrema if they exist, as well as all values of x…

A:

Q: Evaluate /1-(y-1)² by first changing it to polar coordinates. 219 dx dy

A:

Q: Find the integrating factor by inspection then solve.  x(x2 - y2 - x)dx - y(x2 - y2)dy = 0

A:

Q: 1 1- x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Let x e N, with n ≥ 2 and a > 0 when applying integration by parts J= 1 = [(ax)" · . e da to the…

A: To find out the correct option.

Q: Derive the Maclaurin and Taylor Series of the function below:

A:

Q: Consider the function f(x) = (3x² − 4)(x² + 6). (a) Compute the derivative of f(x) by multiplying…

A:

Q: Q2/ Examine the following surface for maximum, minimum, and saddle points 2 = x² + y² + xy + 4x - 4y…

A:

Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

A:

Q: Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65  15.40…

A: Here i am provmy hand written solutions

Q: An expression that allows calculate the shaded region is? O a) * 9 (2) — ƒ (2)] dz - √ (c − 9 (2)]…

A: Topic = Application of Integration

Q: 3. Which vector is not normal to the plane x+2y-3z-4=0? a) [2,-3,4] b) [-1,-2,3] c) [2,4,-6] d)…

A: which vector is not normal to the plane

Q: The plane x + y + 2z = 12 intersects the paraboloid z = x² + y2 in an ellipse. Find the points on…

A: Suppose the point nearest to origin with the condition that it is not the ellipse that is obtained…

Q: kx 4+x² If k 1, evaluate k (a) 2 kx (b) 2 J₁ arctan (2x) + C arctan (2x) + C dx. (c) // ln(x² + 4) +…

A:

Q: If integration using u-substitution technique is used to solve for ∫2e2x1−e4x dx/square root of…

A:

Q: Let f(x) = { x - 2 7x 38 Find the following limits. lim f(x) = x→6- lim f(x) = = x→6+ lim f(x) = x-6…

A: This question can be solved using the concept of limits.

Q: Find the integrating factor by inspection then solve.  y(3xy + 1)dx - xdy = 0

A: y(3xy+1)dx-xdy=0

Q: A general solution of the separable DE. y'=. =y+1 y + 1 O inly + 1 = ²2 +C Oy²+2y=x²+C 0y² + y = x²…

A: To solve the given differential equations.

Q: Question 10 of 10 Find the general term of the sequence, starting with n = 1. Determine whether the…

A:

Q: 5 Qu/ If w=f(u, v) = cos uv, u = xyz , v = 4(x²+y²) dw Prove that 0 at the this point…

A: Given problem:-

Q: The result of A(B x C)+ A × (B.C) may be: 10 2i+3j O 2i+2j-k

A: