2. Find the angle between the following two vectors. < 1,7 > and < -12, -8 >

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Solution: we know that u→=ucosθ i +usinθ j

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Let's find. 

Q: Use the graph of y-f(x) below to determine which of the choices could be the graph of y=f(x) Hint: M...

A: In order to graph the function y=f'(x) firstly we need to find the signs of f'(x) at various interva...

Q: Given the standard form of the equation of hyperbola, find the following, then sketch the graph: A. ...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: Determine the average value of the piecewise function f defined below on the interval x = 0 to x = 3...

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

Q: 1. Sketch the curve x? + x?y? = a?y², a > 0. Enumerate the steps in your solution.

A: As per guideline I can solve only one question at a time. Ask rest of the question next time.   x2+x...

Q: In the differential equation (xy+1)dx+x(x+4y-2)dy=0, the integrating factor is,

A:

Q: A particle travels along the x-axis such that its velocity is given by v(t) = (t25 + 4t) cos (3t). W...

A: The velocity of the particle is given by: v(t)=(t2.5+4t)cos(3t)

Q: 3. Find the slope of the tangent line to curve x=2sin2t, y = cos4t when t=-

A:

Q: x? + 2x dx Vx³ + 3x² + 1

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Q: Which of the following would represent an approximation of R(51) using information from R'(x) R(51) ...

A: Given query is to find correct option for. R (51).

Q: A cylindrical can is to be made to hold 1.5 liters of oil. Find the dimensions that will minimize th...

A:

Q: Find the equation of the normal line to the graph of f(x) = 2" log2 x at the point where x = 1.

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Q: Use the alternative form of the dot product to find u · V. ||u|| = 35, ||v|| = 40, and the angle bet...

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Q: Evaluate the given integrals. 7x-4Vx 1. S S VE () dx

A: Let's find. 

Q: 6. The derivative of f(r) = a" + log, r equals %3D 1. 1 (a) f'(x) = In a · a" + In a r (b) f'(x) = a...

A:

Q: IV. Use the given graph of f to state the value of each quantity, if it exists. If it does not, expl...

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Q: Ivan B. Garcia TOPIC : INTEGRAL AS ANTIDERIVATIVE TECHNIQUES OF INTEGRATION: TRANSFORMATION BY TRIGO...

A: As per bartleby guidelines we only give first question answers. 

Q: Find unit vectors that satisfy the stated conditions. Edit NOTE: Enter the exact answers in terms of...

A:

Q: The plane that contains the points (-2, 1, 0), (1,0, – 1) and (0, –1, 1) is orthogonal to which vect...

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: Given that L is a line in 2-space or 3-space that passes through the points A and B then the distanc...

Q: I. Solve for the derivative of the functions using chain rule. Box your final answer. 3 1. f(x) = (x...

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

Q: Among all rectangles whose area is 400 m^2, which one has the smallest perimeter?

A: The objective of the question is determine the sides of the rectangle for which the perimeter is min...

Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

A:

Q: 5 and g(x) = Let R be the region bounded by the functions f(x) = 3x? shown in the diagram below. Fin...

A: Graph of the region is given, we have to find its area

Q: Let R be the region bounded by the functions f(x) = -2x² + 6 and g(x) = -7 as shown in the diagram b...

A:

Q: Match the second-degree equation to its graph. A. C. r² + y? + 2? – 2x + 2y + 4z + 6 = 0 r² + y² + z...

A: A The equation is x2+y2+z2-2x+2y+4z+6=0  x2+y2+z2-2x+2y+4z+6=0x2-2x+y2+2y+z2+4z=-6x2-2x+1+y2+2y+1+z2...

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

A: Given : v=8u=-2,6,2   To Find : Vector v with magnitude 8 in the direction of u.   Note: A vector a ...

Q: Determine whether each point lies on the line. ......e x = -4 + t, y = 4t, z = 3 + t (a) (0, 16, 7) ...

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: Given that a 512 · x2 . sin(8 · x) dx = r – 2, - calculate the value of a. a = (No answer given) +

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Q: Find the equation of the function f whose graph passes through the point ( 0, and whose derivative i...

A: We have to find value of f(x)

Q: Plot the following cosine functions, y1 = 2 cos(x), y2 = cos(x), and y3 = 0.5 + cos(x), in the inter...

A: According to question,Given function,y1 = 2 cos x,y2 = cos xy3 =0.5 cos x0≤x≤2π

Q: Find the radius of convergence and interval of convergence of the power series 2" (x – 3)" Vn + 3 n=...

A: Solve the following

Q: Write an integral that is equivalent to xf (2x) da.

A: Consider∫-2-1xf(2x2)dxlet  u=2x2differentiate on both sidesdu=4xdxWhen x=-1 ,  u=2(-1)2=2          x...

Q: A tank has 150o liters of water in it at time t = 0 hours. Water begins to be pumped into the tank a...

A: Explained below 

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 7t, y = 7 -...

A:

Q: In(x) dx; u = In(x), dv = x³ dx

A: Use integration by parts method.

Q: ∫(x2dx) / (√1+ x)

A: We know, ∫xndx =xn+1n+1+C, C is a constant.

Q: TT/3 4. sec x tan x dx sec3 x T/6

A:

Q: FUNCTIONS: If f(x) = -4x + 2x2 and g(x) = 3x – 3; find the following @ x= -1. 1. f+g = 2. fxg = 3. f...

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only first thre...

Q: g(b) Use the substitution formula f(g(x))g'(x)dx = f(u)du where g(x) = u to evaluate the integral be...

A:

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C f...

A: Solving the problem by finding the value of integration.

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

A: Explanation of the answer is as follows

Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(3,5, 1). NOTE: Enter the exa...

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Q: The graph of the polynomial function K(x) is shown below. a) Write a possible equation for K(x) in f...

A: Given: The graph of the polynomial K(x) is shown as:

Q: 6x? sin x' dx

A:

Q: Determination of integrating factors: 2y(x² – y + xdx+ (x² – 2y}dy = 0

A:

Q: Find dy/dx by implicit differentiation. 2Vx + vỹ = 5

A: