Consider vectors u and v. Find unit vector w in the direction of the cross product vector u x v. Express your answer using standard unit vectors. U = (4, -1, 3), v = (-3, 0, 1) W = 1 =j+ 3√19-3V/19+ 3√19 k x

Q: 6) z = sin(x,y)

A:

Q: Solve the following system of linear equations by using the inverse matrix method. x + 2y -z = -4…

A:

Q: How do you evaluate the integral of ( x2 ) / ( 2(x2 - 4) ) ?

A:

Q: Find the arc length of the curve below on the given interval. 3 1/3 4 y= 2x5/3. - +7 on [1,8]

A:

Q: Find the following for the vectors v=8i - 2k and u=i+j+ k. a. v•u, |v|, |u| b. the cosine of the…

A:

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A:

Q: 4) Use the following graph fto determine the following. If a limit is infinite, write infinity or…

A:

Q: Suppose the amount of caffeine (in mg) in a person's body t hours after consuming it is C(t) = 16…

A:

Q: 2(x³ + xy² + y)dx + (2x²y³ + 4xy² + 2x²y + x^y + 2x)dy=0; y(2) = 0

A: Let's solve given differential equation.

Q: a) Graph the function f(x)=2x² + 4x b) Draw the tangent lines to the graphi t the points whose…

A: Note: As per our guidelines we are supposed to answer only three subparts if there are multiple…

Q: f(x) g(x) lim X-5 (Type an integer or a simplified fraction.) =

A:

Q: Find the volume of the solid whose base is the semicircle y = √√4x² where -2 ≤ x ≤ 2 and the cross…

A:

Q: Find the inverse function to y = f(x) x = g(y) = 4-7x 6- 6x 7 - 6x help (formulas)

A: Given y = f( x ) = 4 - 6x 7 - 6x

Q: Let f be a one-to-one function. If the domain of f is the set of all real numbers and the range of f…

A:

Q: Find a curve that passes through the point (1,4) and has an arc length on the interval [2,6] given…

A:

Q: Consider a w-N weight suspended by two wires as shown in the accompanying figure. If the magnitude…

A:

Q: Two events are non-mutually exclusive. If P(A) = 0.51 and P(B) = 0.34, what is the probability of…

A:

Q: Use the calculator graph to find the solution set of the given equation or inequality. √x + 3 = x +…

A: We need to solve inequality.

Q: The Mexican subsidiary of ThermoMaster manufactures an outdoor thermometer. Management estimates…

A:

Q: Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 5 sin²(t)) at t - 7…

A: Solution is given below:

Q: Find and classify all the critical points of the function f(x, y) = xye -x².

A:

Q: A state charges polluters an annual fee of $20 per ton for each ton of pollutant emitted into the…

A:

Q: lim ((sqrt 4-h)-2) / (h) h—>0

A:

Q: M(x,y) dx + (y³ + x2y + x) dy = 0

A:

Q: 2. If f(x)=√x and g(x) = sin(x): (a) Find the function (gof)(x) and its domain. (b) Find the…

A:

Q: A There is no correct answer from the given choic 3 2√t E سان t-l/2 √t

A: We will find the required.

Q: a) Graph the function f(x)=2x²-7x+5. b) Draw a tangent line to the graph at the point whose…

A:

Q: Observe the ripples. When the rate of the area of the circle is constant, how is it related to the…

A: We need to choose correct option.

Q: 4. Y J HY BY 4.0 where y (0)=0 y'co)=2

A:

Q: Express the area A of the cross-section cut from the paraboloid- y by the plane z=k as a function of…

A: Given equation of parabloid x2a2 + y2b2 = zcplane : z = k

Q: Let f(x): = lim_ f (x) Find →→3 a b x²-9 x + 3 x² - 9 X 3 с d if x 0 -6 0 does not exist 1

A:

Q: Suppose f and g are continuous functions such that g(6) = 5 and lim [3f(x) + f(x)g(x)] = 48. Find…

A:

Q: Consider the following vector: -E1₁ 2 2 Which vector has length 2 and the same direction as u? 200…

A: given  u=-122

Q: Find the arc length of the curve on the interval. r(t) = (t² + 1, 8t³ + 3), −1 ≤ t ≤ 0 -2√145 X

A:

Q: Jonathan is going to throw a ball from the top floor of his middle school. When he throws the ball…

A:

Q: Suppose that x = In(A) and y = ln(B). Write the following expressions in terms of x and y (so you…

A: To express different log in terms of x and y

Q: 5. State the value of e (4)

A: eln4

Q: Establish the identity. csc ²0 (1- cos ²0) = 1 Which of the following shows the key steps in…

A: see below the answer and explanation

Q: Let lim f(x)=16. Use the limit rules to find the following limit. lim √f(x) lim √/1(x) = (Simplify…

A:

Q: an of a that joins a vertex to the midpoint of the opposite side.) 22. Find an equation of a sphere…

A: The objective is to solve the above question.

Q: 2 (e^)² = e²x why rather than (e^)² = etz 2

A: To find the integral.

Q: Find a nonzero vector parallel to the line of intersection of the two planes 3x + 5z = -4 and…

A: If n1 is the normal vector to the plane r and n2 is the normal vector to the plane s  ,then  the…

Q: Find the work done by a force F = 8i (magnitude 8 N) in moving an object along the line from the…

A:

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: (d) v(t) = 7t (e) y = power function polynomial function of degree 7 polynomial function of degree t…

A:

Q: 1:37 PM Sun Jan 29 X Chemistry2e-WEB 11 of 11 0 3= box ² y=lnx 6.3 Volume By Slicing 20 8 X 6.4…

A: 2 curves are given Y= ln x Y= ln x2

Q: Differentiation of Logarithmic and Exponential Functions -(In u) dz dz (e)

A: To evaluate the following differentiation. i ddxln u=?ii ddxau=?iii ddxeu=?

Q: onsider the following vector function. = ( 5t₁, 1/ 12², 1²) r(t) (a) Find the unit tangent and unit…

A: To find  the unit tangent and unit normal and curveture

Q: Find the area of the triangle T with vertices O(0,0,0), P(2,2,3), and Q(6,5,4). (The area of a…

A:

Q: Suppose that f(t)=t2+t−5. What is the average rate of change of f(t) over the interval 4 to 5​?…

A: We need to find average rate of change.