Consider the following. u = 5i + 3j, v= 2i + 4j (a) Find the projection of u onto v. 296i + 111j 73 73 (b) Find the vector component of u orthogonal to 150i 400j + 73 73

Q: Given the function S+1 Y(s). g+ 25 + 10 1. Use "Complete the Square" on the bottom of the fraction t...

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Q: Solve for the derivative of the function using chain rule. 14. f(x)= 3lnx 15. f(x)= cos(cosx))

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Q: For the given cost function C(x) 36100 + 700x + x², First, find the average cost function. Use it to...

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Q: Number of words memorized 21. Estimate the number of words memorized after 10 min. eraph for Exercis...

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A: Two planes A1x+B1y+C1z =d1  and    A2x+B2y+C2z =d2  are parallel if                      A1A2 = B1B2...

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Q: っ (6xt- 2x+4シュ)

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Q: An open top rectangular tank with a square base is to have a volume of 10 cubic feet. The bottom is ...

A: To find out the dimensions of minimum cost.

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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...

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Q: A box with a square base and open top must have a volume of 42592 cm. We wish to find the dimensions...

A: To minimise material we have to minimize the area

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Q: 2 12. f (x) = (1tsinx) Cosx

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Q: 5tan 2x -dx sin²2x-1 8.

A: Put tan2x=t and using integration of ax dx =ax /loga

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maxi...

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

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Q: Vrite an integral that is equivalent to æf (x²) dx. a = b = f(u) du submit Answer

A: Given query is to write equivalent integral.

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

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Q: 3. Find the area of the region that lies inside both curves: r = sin 0,r = cos 0 0.8 0.6 0.4 0.2 -0....

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Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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A:   Formula for area

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Q: A point is moving on the graph of xy = 20. When the point is at (4,5), its x-coordinate is increasin...

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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. Let R= {(x, y) : x² + y² 0, y > 0}. Evaluate // Vz? + y² dA x2 +y? dA R

A: using polar coordinates x=rcos(θ)y=rsin(θ)x2+y2=r2,dA=r drdθ

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

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Q: Given the piecewise function defined below, determine the value of f (x)dx in simplest form. -6x² + ...

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Q: . Set up an iterated integral for the volume of the solid in the first octant bounded by the surface...

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Q: Let f(x) = (x - 3)-2. Find all values of c in (1, 7) such that f(7) - f(1) = f'(c)(7 - 1). (Enter yo...

A: Mean Value Theorem : Suppose f(x) is a function that satisfy the following properties :1. f(x) is co...

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of integ...

A: Indefinite Integration

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Q: Given the function Y(s) - +9

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Q: Given vector u (2, 5) and v (1, –3), determine the value of u component form.

A: Given query is to find the indicated vector.

Q: Use logarithmic differentiation to find the derivative of the following functions (y ′ ). Hint: Take...

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Q: 2v in Given vector U= (2,5) and v = (1, –3) , determine the value of u component form.

A: Topic:- vector algebra

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Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y = ...

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Q: Calculate the integral, assuming that L' f(x) dx = –2, f f(x) dx = 6, f* f(x) dx = 8. %3D (Use symbo...

A: Answer is given below.

Q: 3-4 The figure shows a lamina that is shaded according to the given density function: darker shading...

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Q: Question 3 2x2 – 1 lima→0 x2 +1

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Q: (d) DNE (e) 2. Calculate each of the following i: (a)/ sec2 (x) dx (b) 3 (d) In(x) dr (e) 0. 1. dx 4...

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Q: Let a = ci + j andb = 7i + 24j. Find c so that the angle between a and b is. Round your answers to f...

A: The objective of the question is evaluate the value of "c" for the given vectors.

Q: 2. 10, 11, and 12 a. Express the triple integral /// f(x, y, 2) dVas an iterated integral for the gi...

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Q: d = 12t(3t2 – 1)3, s(1) = 3

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Q: ©if g(x, v) = In(),the )If g(x, y) = Int then xgx - vgw in simplified form is [c].

A: We can find the answer as below in the following steps

Q: The differential equation y (x y e² ) = y³ež + æ2? has a solution of the form f(x, y) = ln |x| + C. ...

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