Determine the equation of the plane that contains the lines Li and L2. L: x = 3- t, L2: x = 8 +2 s, y = -6- 4s, z = 5+s y = 5+3t, z = -1-4t

Q: Given the function notation f (x) = x2 – x – 4. Find the value of x when f (x) = 8

A: Given the function notation f (x) = x2 – x – 4. Find the value of x when f (x) = 8

Q: y = cot-1(4-3x2)

A: y=cot-1(4-3x2)differentiate w.r.t.xwe know that,ddx(cot-1x)=-1x2+1Therefore,dydx=-14-3x22+1ddx4-3x2d...

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

A:

Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A ...

A:

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 2t, y = 6 –...

A:

Q: Differentiate each function with respect to x. 2. y = (-3x5+ 1)3 3. y = (-5x3 – 3)3 4. y = (3x3 + 1)...

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: A concert will be held at the end of April. Past experience indicates when tickets are priced at $70...

A:

Q: f(x, y) = x2 + 20x + y² + 16y + 10 O f(-10, 8) = 102, saddle point O f(10, 8) = 502, local maximum O...

A:

Q: Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y ...

A:

Q: 3.x cos 5x dx 5. ( re'/2 dr

A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1 ∫c...

Q: sec xdx Which of the following is the same as which will lead us to the correct evaluation of this i...

A: This problem can be solved as follows:  

Q: conditions for each equation: d²x 2 dx (a) + x = 1 dt F(0) = F'(0) = 0 %3D %3D dt2

A:

Q: Compute for the dot product between the following pairs of vectors. Also, using the dot product alon...

A: We can find the dot product and other required answers as below.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 17 + 4x - x...

A: Given function f(x)=17+4x-x2   ; [0,5]

Q: Question 12 Provide an appropriate answer. Find when r = 4 and s = 3 if w(x, y, z) = xz + y, x = 5 r...

A: We will put the values of x,y and z in w(x,y,z) to convert w in the terms of r .

Q: xtan dx - y cos xdy = 0 a) Show that this equation is exact if not find identify the integration fac...

A: Let's find. 

Q: Sketch the region bounded by the given curves, then find its area. y = 2x - x^2, y = 2x^2 - 4x

A:

Q: 4. Find the slope of the tangent to the graph of f (x) = x³ + 3x² + x at its point of inflection. Sh...

A: Slope of the tangent is obtained by dy/dx 

Q: 5. x = 8 – y², x = y² – 8

A: This question is based on application of definite integral.

Q: y)dx

A:

Q: Exercise 3. Consider the model economy where the government taxes consumption and uses the tax reven...

A:

Q: Find a polynomial of degree 3 that has a maximum at the point (0,7) and a minimum at the point (2,−3...

A:

Q: State both forms of the Chain Rule for calculating the derivative of y = f(g(x)). State both forms o...

A:

Q: Calculus Question

A:

Q: cm/min

A:

Q: The function y = 2x2 for -3 ≤ x ≤ 3 is given. a) Plot the graph b) Find the gradient at x = 1

A:

Q: ASK Find the volume V of the solid obtained by rotating the region bounded by the given curves about...

A:

Q: 9. In(2x + 1) dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: S cot5xdx ха

A:

Q: Let A and M be n x n matrices. If AM = 31, then M-1 O is equal to (1/3) A is equal to (1/2) A O is e...

A:

Q: 2, A drone is flying at a level altitude of 20 meters struight toarards an 06server on the ground. I...

A: I am attaching image so that you understand each and every step.

Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x = ...

A:

Q: f(a + h)-f(a) a. Use the definition man = lim to find the slope of the line tangent to the graph of ...

A: The given definition of the slope of the tangent line of a graph at the point P is: mtan=limh→0f(a+h...

Q: dx ·J Ja(cos²(vx)) 1. .2 | x5 ln x dx 2. 3. arctan x dx

A:

Q: A. y? = 1+ a? + 22 C. a² + y? = z? %D B. y? + 22 = x? D. 22 = 4+ 4x² + 4y? %3D

A: 1. Answer : V

Q: f(x) : x?

A:

Q: Evaluate the given integral by changing to polar coordinates: Sl. x²y dA, where D is the top half of...

A:

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (6, 9) a = b =

A:

Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate A) None B sinydy +...

A: Just I have simplified the given integrand function and find that option (B) is correct.

Q: Find the area of the triangle with vertices P(1, 2, –5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the ex...

A:

Q: An old tire is deflating initially at a rate of v(t) = \E + 2 where v(t) is its volume in in' at any...

A: To find out the instantaneous volume at 1 hour.

Q: 2 ア=x,y=2r

A:

Q: Sketch the region bounded by the given curves, then find its area. x = y^2, x = y + 6

A: The graph is shown below in which the chex region represent the area.

Q: Find the area of the parallelogram that has u =i – 2j + k and v = 3j +k as adjacent sides. NOTE: Ent...

A:

Q: 1. 2(2y? + 5xy 2y + 4)dx + x(2x + 2y- 1)dy = 0 2. y(y+ 2x - 2)dx 2(x + y)dy = 0 3. xydx - (x² + 2y²)...

A: As per our guideline we supposed to answer only first question to get remaining kindly post again To...

Q: Match the quadric surfaces to its graph. A. y? + 22 = 4 + 4x? C. 9x? + 4y? = 36 + 36z2 B. 4x2 + y? +...

A: This is a problem related to the curve plotting in the 3 dimensions. Based on the available concepts...

Q: MY NOTES Find the volume V of the solid obtained by rotating the region bounded by the given curves ...

A: Topic = Volume

Q: L:x = 2 – t, y = 3 + 4t, L2: x = 4t, y = 1 – 16t, z = 4 – 8t z = 4 + 2t

A:

Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is. Round your answers to f...

A: