If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and (Ivl=4\sqrt{2} ), find v in component form.

Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

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Q: 2. Let A = (1,0, 1) and B (0, 1, 3). Solve for projaB. %3D

A: We have to find projection

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A: Given:  r = 2+2cos φ.

Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

A: To find the horizontal speed of the plane.

Q: 4. Which of the following is the Maclaurin series fore Circle all that apply. (a) (b) (-1) (2n)! (d)…

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Q: 3n². {(-1y"-1, 4n2 - 1 n-1

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Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

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Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

A: Solution is done in step 2

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (- 2t + 3)i…

A: The Solution is given below

Q: Consider the piecewise function: 2x+8, x3 Determine the value of each limit. If the limit D.N.E.,…

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Q: Use the table of values to estimate lim f(x). X-5 4.9999 5.0001 7.9999 8.0001 4.9 4.99 4.999 5.001…

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Q: Write a in the form a = a-T+anN at the given value of t without finding Tand N. r(t) = (2t + 3)i +…

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Q: 9. Find the vertical and horizontal asymptotes of the function. X-8 f(x): х2 — х — 6

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Q: Find each function value and limit. Use -∞ or co where appropriate. 7x* - 14x2 f(x) = 8x° +4 (A) f(-…

A: topic- functions and limits

Q: Identify the End Behaviors for the function graphed to the right 5+ Right hand end behavior: 3 As x…

A: Given query is to find the end behaviour of the function.

Q: Use implicit differentiation to find the slope of the tangent line to the curve = x° + 9 2y 10 at…

A: To find out the slope of the tangent at point  (1, 10/21).

Q: Given f'(x)=-+e²2* +x² and_f (1) = +x*and f(1)=. Find f(x) 5.

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Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: The region is bounded by the curve y=x2+2 from x=0 to x=2

Q: Differentiate the function. 2 + g(t) = In t(t? + 1)4 V8t – 1 g'(t) =

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Q: Differentiate the function. t(t? + 1)4 n 8t – 1 g(t) = In %3D

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Q: QV Determine whether the given differential equations are bomogenous and, if so, solve them. a) xydy…

A: To find out that the given differential equations are homogeneous or not.  According to company…

Q: Evaluate the following integrals: 1. S(cos x + csc² x)dx 2. S(tan x + sec² x)dx 3. S(1+sec²x)dx 4.…

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Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a cos 20 and 5t, where a is…

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Q: Test the given geometric series for convergence or divergence. If it converges, find its sum. 4 16…

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Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: A norman window has the total perimeter 8 feet.

Q: Evaluate the limit x2+ 19x-48 lim x²+9x+112 X- - 16 X a. 13 23 O b. 19 23 O C. 00 O d. None of…

A: The detailed solution is given below Thank you

Q: For each natural number n, the expression 2* – 7n - 1 is divisible by

A: Concept: Mathematical induction: Mathematical induction is a mechanism for proving a statement,…

Q: dx (9 – 4.x²)³/2 2,3/2

A: Use substitutions to make it more simple

Q: Suppose that a cylindrical can is designed to have a radius of 1 in. and a height of 5 in b the…

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Q: In n Consider the series Verify that the hypotheses of the Integral Test hold, and n2 n=1 use the…

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Q: P(x) = 23x – a?. %3D

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Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Determine the first derivative for each of the following functions. Remember to "Tidy" up your final…

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Q: Consider the function f(x) = The value of f'(0) is: (x+ 1)2

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Q: Evaluate each Laplace transform. Write your answer as a function of s. (a) L{2t³ – cos² 5t} (b)…

A: We have to determine Laplace transfer  As per Bartleby guidelines we have to solve 1 question if you…

Q: Problem 1 Solve the inequalities and sketch their graphs on the real number line. (a) 4r – 6 > 10…

A: We have slove inequality  As per guidelines we have to solve 1 question if you need please repost…

Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite the expression…

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Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit…

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Q: pints A and B are separated by a lake. To find the distance between them, a surveyor locates a point…

A: Given query is to find the distance AB.

Q: For each function, determine the long run behavior x2 + 1 has Select an answer x2 + 2 x3 + 1 has…

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Q: The area of the region that lies to the right of the y-axis and to the left of the parabola æ = 2y –…

A: topic- Area bounded by curves

Q: Given the function P(x) = (x – 1)²(x – 4) - -

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Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y=8-x, x=0, x=6,…

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Q: a). Find the specific solution to the 2nd order non-homogeneous differential equation d²y dy 12y =…

A: a)The given differential equation,d2ydx2-dydx-12y=30x

Q: 12 Consider the graph of the ellipse. which is drawn to scale. This ellipse has an eccentricity of…

A: Given query is to find the equation of the ellipse.

Q: Next qu Classify the statement as either true or false. If lim F(x) exists, then F could be…

A: We have to find out the continuous property

Q: Suppose that f(æ, y) f(x, y) in the directional (1, – 1) and at the point = xy. The directional…

A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4

Q: Write a in the form a = a-T+aNN at the given value of t without finding T and N. 3 (5 e'V5)i+…

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