nin m Find the distance between the point and the line given by the set of parametric equations. (Round your answer to three decimal places (6, -3, 5); x- 2t, y-t-3, z- 2t+2 Submit Answer

Q: Area. Suppose the area of a circle is decreasing at a rate of3m2/sec, the rate of change of the…

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Q: 4- x2 Evaluate lim x+2 3- (x2+5)Z 5 3 O NONE OF THESE O 4

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: In each part, confirm that the formula is correct, and state a corresponding integration formula.…

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Q: Evaluate the integral. 9 17 1+ x2 dx V1- x2 +C

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Q: (a) Estimate the area under the graph of f(x) = 2 + 4x2 from x = -1 to x = 2 using three rectangles…

A: The given function is: f(x)=2+4x2; x=-1 to x=2

Q: 4. If a1 = 2 and az = 3 and an = an-1 + 3an-2 for n> 2, a. find the first five terms of the…

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Q: Domain. The domain of 8/x + 8 g(x)=. 3x2 - 12x + 9 can be written: O (-0,3) U (3,8) U (8,00) O…

A: The given function is: gx=8x+83x2-12x+9 To find the domain of the function g(x).

Q: Give the parametric and symmetric equations of the line that passes through the point (2,6, –1) and…

A: To find equation of line passing through the point 2,6,−1 and perpendicular to both vectors −4,3,−5…

Q: dy Find of y = /2u – 9; u = x² – 9 dx Type your answer without fractional or negative exponents. Use…

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Q: You are driving a car away from home. Your velocity​ (miles per​ hour) t hours after noon is given…

A: Given:       vt=-5t4+40t3-149t2+180t  Distance you drove between 1:00pm and 2:15pm is given by…

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Q: omposition. Suppose we want to find the composition of a function with itself. Let g(x) = -4(x+3)2…

A: Given, g(x)=-4(x+3)2

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = -9 plane,…

A: Let's find.

Q: nd the component form and magnitude of the vector v with the given initial and terminal points. Then…

A: We can solve this as follows:

Q: 9. The management of a large store wishes to add a fenced-in rectangular storage yard of 20,000…

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Q: Differentiate the function f(x) = x^1/3 f'(x)=

A: Given query is to find the derivative of the expression.

Q: Find u · v, u· u, ||v||2, (u· v)v, and u · (3v). u = (4, -2, 5), v = = (0, 6, 3) (a) u V (b) (c)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: 4. S ( 12 x³ + 15 x - 20 ) dx 5. S 10 x2/5 dx 6. § 3 ³V x8 dx 7. S ( 8 + 2 dx x3 x4. 8. S ( 2x³ -…

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Q: Given that f(1) = r°h(x) h(– 1) = 5 h'(– 1) = 8 %3D Calculate f'( 1).

A: Given that fx=x6hxh−1=5h'−1=8

Q: 4. Find the area under the following curves over the indicated interval: (c) z = -3t2, y = 2t, for 2…

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Q: Consider the following equation and point. f(x) = a (3, -1) x - 4 Find an equation of the tangent…

A: First we have to calculate slope of the given function to calculate equation of tangent

Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Our Aim is to set up the form for partial fraction decomposition given that:--12x-9x+85x-1-(i)

Q: mutliple choice- I need help asap please!

A: a. limx→-4+f(x)    This limit means what is value of f(x) when we approach -4 from right(right…

Q: Suppose that the velocity v(t) (in meters per second) of a sky diver falling near the Earth's…

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Q: - 2 Evaluatelim x- 8x2-7x-8 O 1/9 O 27 O NONE OF THESE 1/12

A: To evaluate: limx→8x3-2x2-7x-8

Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

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

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Q: 1 Use SUBSTITUTION to evaluate the definite integral to three decimal places. xp- 2x +4

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Q: -243 S sx(*)dr J ft]dt =m Find if

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Q: Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

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Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

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Q: Determine whether the given series converges or diverges. 4n – 8n 5" n = 1 converges O diverges If…

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 Ex + 3y +z = 8 Find the normal vector, n,,…

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Q: Find the following. (0, 1), v = (5, -3) U = (a) ||배 (b) ||v|| (c) |u + v||

A: Explanation of the answer is as follows

Q: Revenue. Suppose the graph of the revenue R(x) and cost C(x) are shown below where R(x) = -x2-2x+2…

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Q: The graph of a piecewise-linear function . for-15xS 4. is shown above. What is the value of (A) (B)…

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Q: Use the Quotient Rule to find the derivative of the function. See Examples 4 and 6. 6t? - 5 f(t) :…

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Q: Consider the following. 3D(6,-1,0) v = (-2, 3, 0) u = %3D Find u x v. Determine if uxvis orthogonal…

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x

A: We will put value of x =g(x)

Q: Find the limit of the sequence: 4n? + 2n + 3 An 4n2 + 6n + 2

A: limn→∞ 4n2+2n+34n2+6n+2=limn→∞ 4+2n+3n24+6n+2n2=limn→∞ 4+2n+3n2limn→∞ 4+6n+2n2=44=1

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: Given,  Initial point: (3,2,0)  Terminal point: (4,1,8)

Q: Ship A is 50 nautical miles west of ship B. Ship A is heading east at 10 knots and ship B is heading…

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Q: Question 5 Find the volume of the solid that results when the shaded region is revolved about the…

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Q: Consider the function f(x) whose second derivative is f"(x) = 4x + 4 sin(x). If f(0) = 2 and %3D %3D…

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Q: 15 dx +C + x2

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Q: You are driving a car away from home. Your velocity​ (miles per​ hour) t hours after noon is given…

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Q: S(a – x)°dx

A: We need to integrate given function.