Find the coordinates of the point P on the line and a vector v parallel to the line. x = 6t, y = 8 - t, z = 1 + 5t P(x, y, z) = v =

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (– 10,…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: In(5x2 + 8) Find the slope of f (x) at (7, 1.84). Use a graphing utility and round to the nearest…

A:

Q: GIVEN : 2x 2х - 2x ) + 6 1 1 f (x) = 1 --x 8 g(x) = 3(x + + 4 h(x) = 6 - || 3 a.lim -4 · f (x) d.lim…

A: For (a),     limx→2-4 f(x)=limx→ 2-41-18xPlug in the value x=2=-41-18· 2=-3

Q: Use a computer algebra system to graph fand to find f' and f". Use graphs of these derivatives to…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: Evaluate the following integral using trigonometric substitution. dx b. S- (5+2x+ x²)5

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: We need to find directional derivative.

Q: Find F (x). F(x) = sin e de Jo F '(x) =

A:

Q: ance between the skew y = 5+ 2t, z = 5 – 4 y = 6, z = 1+3 e exact answer.

A:

Q: For a general graph of a function x = g(y) that may go to the left and the right of the y-axis,…

A:

Q: Given the function f(x) = – 3z² f(r + h) – f(x) h Find the difference quotient Find f'(x) by…

A:

Q: (the trace of A). Prove that T is a linear transformation. Let A and B be to matrices in M, and let…

A:

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: Solution )  f(t) = 0.8t3 - 0.3t0.4 + 27  Differentiate with respect to t  f'(t) = 0.8 × 3 t3-1  -…

Q: Evaluate the definite integral. Use a graphing utility to verify your result. (2* + 9) dx

A: We need to find integral.

Q: Determine whether the lines Lj and L, are parallel. Lj: х%3D 3 — 31, у %3D 5 + 1, L: х%3D6 — 9t, у…

A:

Q: 2-4х3 3. lim х--0- 5x2+3x3

A:

Q: Find the sum of positive divisor  a)     40 425  b)       2 491

A: To find the sum of the positive divisor a)     40425 b)      2491

Q: Find an equation of the plane through (0, –9, –1) that is perpendicular to the line x – 2 = 3t, y+3…

A:

Q: (5) Radioactive decay is measured in terms of "half-life", which is the number of years required for…

A:

Q: Solve the differential equation with the appropriate method. Finalize the answer equated to y. 1.…

A:

Q: ........... Find sets of parametric equations and symmetric equations of the line that passes…

A:

Q: A water pipe having a 2.88 cm inside diameter carries water into the basement of a house at a speed…

A: Here, the given radius of the first end is r1=2.882=1.44 cm Now, the speed at the first end is…

Q: Units

A:

Q: y = Vx, x = 0 , y = 2 , revolved at y axis

A:

Q: 4) The domain of f(x) = 4 cos-(3x- 1) + 5 is 3) If f(x) = 1+ x+x? then f-1(1) = a) 1 d) 2 e) non b)…

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

Q: 5. The subsequence of (xn) = () is.. a) (1층..) 0) (1.층,급.) b) (1,1,1, ..) a) (1.-) 6. The sequence…

A: Every subsequence has a pattern.  According to guidelince we solve only first question.

Q: A stone is dropped from the upper observation deck of a tower, 100 m above the ground. (Assume g =…

A:

Q: :- Solve the following two equations by applying the idea of Gauss-Siedel iteration. -+2y-5%=0, 4…

A: Let's find.

Q: Solve the polynomial equation by using the root method, and check the solutions graphically. 3x3 -…

A: Explained below

Q: 3. y = Arccos ( logx);y' = * O -1/x In(10)*sqrt ( 1 - (logx)^2) O 1/ x In(10)*sqrt (1 - (logx)^2) O…

A:

Q: (x² ln x dx

A:

Q: The term t (in years) of a $200,000 home mortgage at 7.5% interest can be approximated by the…

A: Given that the term t of a $200,000 home mortgage at 7.5% interest can be approximated by the…

Q: Determine whether the lines L, and L2 are parallel. L1: x = 1– 4t, y = 2 + t, z = 4 – t L2: x = 4 –…

A:

Q: 10. | xSin4xCos4xdx

A:

Q: u = 5i + 4j, v= 3i + 2j (a) Find the projection of u onto v. (b) Find the vector component of u…

A:

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(8,…

A:

Q: Find the angle 0 between the vectors in radians and in degrees. - co) + sin() = cos 4 u = cos i +…

A:

Q: (y-3)/(x°+1) dy = y dx is a separable differential equation. Select one: O True O False

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: Here we have to find the vector w.

Q: Find Duf at P. f(x, y) = sin(4x – 2y); P(2,4); u = i j - NOTE: Enter the exact answer. Duf :

A:

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) 14/3 lim + 7t/3 (3123 + 13)²

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

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A:

Q: Type exact answer only. No other unnecessary symbols or words. Write DNE if your think the limit…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: A horizontal aluminum rod 4.9 cm in diameter projects 4.4 cm from a wall. A 970 kg object is…

A:

Q: In the figure, a 2400 kg demolition ball swings from the end of a crane. The length of the swinging…

A:

Q: Show that for x 2 1, cosh (cosh° 3x – sinh° 3x) = In(x+Vx² -1). (b)

A:

Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. L1 :x = 1 + 7t,…

A: If line L1​ and L 2 are not parallel and not intersecting, then this lines must be skew.

Q: Find F'(x). dt F(x) = Js F'(x) = -|2

A:

Q: The function f(t) = 4(1.5)' determines the height of a sunflower (in inches) in terms of the number…

A: Since you have asked multiple part question, we will solve the first 3 sub part question for you as…