Find a vector equation of the line through (3,4,6) that is perpendicular to the lines r₁ (t)= (4-6t,5+7t,8-3t) and r₂(t)= (-6t,5+1,8-t). (x,y,z) = (..+ t (-4,12,36) (0, -14,8) (0, -13,35) (0,5,37)

Q: Find one value of x that solves the equation by using the inverse sine or cosine function on your…

A: Ques 1 : (a) -0.253 (b) 1.328   Ques 2 : 1→b2→c3→e4→a5→fExplanation:

Q: 1. Find the length of the given curve. (a) r(t) = (2t, 3 sin(t), 3 cos(t)), a ≤ t ≤ b

A: Question No. (a): To find the length of the following curve.Note: Since you have posted multiple…

Q: 1. Graph and shade the region enclosed by y = e + 2, y = 0, x = 0, and x = 0.3. -0.10 3 2 0.10 0.20…

A:

Q: Solve the following:- 1. Find Maclaurin's series f(x) = e√2x. 2. If f(x, y) = 0, find is - d²y dx²

A: The objective of the first part of the question is to find the Maclaurin's series for the function…

Q: 13. The limit will never exist at a discontinuity. 14. The average rate of change is the slope of…

A: The given statements,13. The limit will never exist at a discontinuity.14. The average rate of…

Q: Let f(x) = 2x² + 13x + 15 -7x+5 2x² This function has: 1) A y intercept at the point 2) x intercepts…

A: Let To find the following: (1) y-intercept(s)(2) x-intercept(s)(3) vertical asymptote(3) horizontal…

Q: Find the volume of the parallelepiped determined a=(2,5,-1), b = (0,3,47₁ C = (2,4,1) by the vectors

A: Given:a parallelopiped that is determined by vectors-To find:The volume of parallelopiped

Q: Determine the interval of convergence of the following power series (−1)n-12n+1 Σn=0 (2n+1)! ²

A: The objective of this question is to find the interval of convergence for the given power series.…

Q: Fill in the equation for this function. -21 -3π/2 -TI F -TT/2 n 2 -3 (1 TT/2 TU f(x) = [ ? ]sin(-×-)…

A: To find the equation of the following graph.

Q: let f(x,y)=(5x-y)^7 then ∂^3f/∂x∂y∂x

A: The given function .The aim is to find the mixed partial derivative .

Q: The key point (-12, 4) is on the graph y = f(x). What is its image point under the transformation g…

A:

Q: A projectile's path is represented by the function h(t) = -4.9t² + 32t+4, where h is its height, in…

A: Average rate of change of f(x) on x=a and x=b is given by

Q: Find f'(x), f(x), and f'(x) for the following function. f(x)=2x +5ex f'(x) = f''(x) = f''(x) =

A: The given function is   .The objective is to find f'(x), f''(x) and f'''(x) .

Q: Consider following relations on the set of positive integer: R₁ = {(a,b) | a> b} R₂ = {(a,b) | a = b…

A: The objective of the question is to determine which of the given relations are symmetric and which…

Q: Please solve the following calc 3 problem

A: The objective of this question is to find the component form of the velocity of the airplane. The…

Q: Consider the following theorem. If f is a differentiable function of x and y, then the directional…

A:

Q: The table below gives the power consumption P in megawatts in a county from midnight to 6:00 a.m. on…

A:

Q: Evaluate the integral. (Remember the constant of integration. sf. 5 √1 - sin(x) dx X – 10 (cos ( 1 )…

A:

Q: Please solve the following calc 3 problem

A: The objective of this question is to find the area of a triangle in three-dimensional space, given…

Q: Given the triangle ABC with vertices A(a1,a2 a3), B(b1,b2,b3), C(c1,c2,c3). P and Q are the…

A: Given the triangle ABC with vertices A(a1,a2 a3), B(b1,b2,b3), C(c1,c2,c3). P and Q are the…

Q: Suppose z = x² sin y, x = 1s² + 3t2, y = -2st. A. Use the chain rule to find and as functions of x,…

A:

Q: x4k =0 k-256 * The radius of convergence of the power series Σ Select one: O a. 4 O b. 6 O c. 5 O d.…

A: To find the radius of convergence of the following power series.

Q: integrate (2x+1)/(x^3-x^2+x) with respect to x the same expression written differently for clarity:…

A:

Q: Differentiate f(x) = (5x² - 2x + 3) (3x³ + 8x² − 5x + 1) - Show all work.

A:

Q: #15 & 16: Solve each inequality using a number line sign chart. Write answers in interval notation.…

A: (−∞,−7)∪(−7,0)Explanation:(16) If you have any problem let me know here in comment box for this…

Q: suppose the general solution is y(t)=yc(t)+Y(t), where yc(t)

A: Given data is suppose the general solution is y(t)=yc(t)+Y(t), where yc(t)=

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function f(x)=x² - 2x…

A:

Q: Consider the parametric curve r(t) = (t³, -t²). Determine which of the following graphs is the…

A:

Q: find the average rate of Change of the function f(x)=sinx, [0,7V6] over the given interval. compare…

A:

Q: r(t) = (e¹,8, 5t-¹),t = 5 v(5) =

A: The Position vector is given as follows

Q: Graph the set of points of discontinuity for the following function: f(x, y) = 1 xy-3

A:

Q: ƒ(x) = −2x² + 3x – 1

A: f(x)=−2x2+3x−1

Q: (5.) Let u(x, y) = ln(x² + y²) (a (b. (c. State the domain of u: Determine lim f(x,y) (x,y) →(0,e)…

A:

Q: Price-Demand Equation At YasterMart, people are willing to buy a pounds of chocolate candy per day…

A:

Q: 2. Find the velocity, acceleration, and speed of a particle with the given position function. (a)…

A:

Q: a) Find equation of the plane that passes through (1,2,4) and is perpendicular to i - 2j +3k

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 6. The quadratic Taylor approximation of f(x, y) near (x, y) = (a, b) is given by f(x,y) ≈ Q(x, y) =…

A: Given: To Find: To  find the quadratic Taylor approximation of .

Q: Which of the following series diverge? = N/W 2 K² +1 1. Z K=05K² +7 I. II. Ex-2(-1)*(x²+4) m. ΣΧ.…

A:

Q: Find the interval of convergence and radius of convergence of the series Σ(5x)". n=1

A: S=∑n=1∞(5x)nUsing geometric series test,∑n=1∞arn−1=a1−r,|r|<1

Q: 4. A circular swimming pool has a diameter of 10 m, the sides are 4 m high, and the depth of the…

A: we need to find out the work required to pump all the water over the side of the pool.

Q: Solve the following Calc 3

A: The objective of the question is to find the dot product of two vectors v and u. The dot product of…

Q: Find the velocity and acceleration vectors for the motion described by x=8+ t², y = 4-4t², z=4+3t².…

A:

Q: Please Solve Using Differential Equation Thank you!

A: −9596 Dollers per Day Explanation:

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 400e-x² - 3y² - 9z² where T is…

A: Given: To Find: (a) To find the rate of change of temperature at the point  in the direction towards…

Q: Let f(x) = 4x² -5x - 5. The secant line through (2, ƒ(2)) and (2+ h, f(2 + h)) has slope 4h + 11.…

A:

Q: y = f(x) N The figure above shows the graph of the twice-differentiable function f and the line…

A:

Q: Write the equation of a rational function that has: • one missing point at x=3 • one vertical…

A:

Q: x²-x-20 18. Find the coordinates of the hole in the graph of f(x) = x² +7x+12 Hole:

A: Hole is at x=-4.Explanation:

Q: (3.) (a.) (Circle the correct choice) Which of the following vector functions describes a circle of…

A:

Q: The graph below is of f'(x) for some function f(x) with domain (-∞0, ∞o) (i.e., the graph of the…

A: Given graph of the derivative of a function.We get critical numbers when the derivative of the…