Find the derivative. f(x) = 8√√2x² +7 f'(x) =

Q: x(t) = Find a plane containing the line y(t) z(t) - 2x - 2y + 8z = 4 = || || 3 + 5t 7-t and…

A: Given plane and line equations:- Plane: -2x-2y+8z=4line: xt=3+5t,yt=7-t,zt=1-7t

Q: Evaluate the difference quotient for the following function. f(x) = 4x²-x First, find f(x + h) −…

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Q: 10) Consider the following two functions p(t) = and 7e-2)-7 t-2 P: R R if 0 2 q: R→R q(t) =…

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Q: (g) Graph the position, velocity, and acceleration functions for 0 ≤ t ≤ 6. O 30 20 -10 10 O 30 20…

A: Given that , ft=t3-9t2+24t

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Q: Find the distance between the skew lines r(t) = (0, -5, 4)t + (-2,0,− 6) and p(s) = (2, 5, -1)s +(2,…

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Q: Find the equation of the line passes through (-2,3) with y intercept 2/3 of the x intercept.

A: Given equation of line passes through ( -2 , 3 )  y intercept 2/3 of the x intercept

Q: x(t) Find a plane containing the point (8,-4,8) and the line y(t) = z(t) = = || - 4 - 6t 6+t - 5+ 4t

A: It is given that, The plane contains the point 8,4,-8 and the lines x=-4=6t, y=6+t and z=-5+4t.…

Q: Let f(x) = ln(3x + 5). Show by induction that the nth derivative of f is given    by…

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Q: Find the vertex of: ƒ(x) = x² − 4x + 7 - The vertex is

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Q: Evaluate the iterated integral. r1 6² 0 tex3 dx dy

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Q: Consider the following function. f(x) = x¹/3 + 1 (a) Find the critical numbers of f. (Enter your…

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Q: Solve for the variable P to two decimal places. 72,900 = P₂0.091(8) P = (Round to two decimal places…

A: Solve for the variable P to two decimal places. 72,900=Pe0.091(8)

Q: Justify parts a-d with a 2) Given: f(x)=x+3 a) Find all intervals of increase and decrease. b) Find…

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Q: Problem #3: Find the work done by the force F = 9xy i+ 12y2j acting along the piecewise-smooth curve…

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Q: Draw the line with an x-intercept of -7/4 and a y-intercept of 3/2

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Q: An object is put outside on a cold day at time t = 0. Its temperature, H = f(t), in °C, is graphed…

A: Given H=f(t) it represent the temperature at time t

Q: Find m so that x-2 is a factor of 2x³-8x +mx+18.

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Q: Given Cost and Revenue functions C(q)=q3−11q2+55q+5000 and R(q)=−3q2+2400q​, what is the marginal…

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Q: St²y" t²y" — 3ty' + 4y = t² ln t, [y(1)=1, _y′(1)= 1.

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Q: A group of engineers are building a parabolic satellite dish whose shape will be formed by rotating…

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Q: A few weeks into the deadly SARS (Severe Acute Respiratory Syndrome) epidemic in 2003, the number of…

A: We have to solve Given question.

Q: For the function f(x) = 4x² - 5x+5, find f'(x). Then find f''(0) and f''(3). f''(x) = (Simplify your…

A: The given function is f(x)= 4x2-5x+5, find f''(x). than find f''(0) and f''(3).

Q: Find the component forms of v+w and v- w in 2-space, given that ㅠ ||v|| = 3, ||w|| = 7, v makes an…

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Q: 4. (a) Evaluate by interpreting it in terms of areas. Show the graph! (b) [v √16-x² dx 9 √² (² + √8…

A: solution are given below..

Q: : Use a trapezoidal sum with three subintervals indicated in the table above to approximate [f…

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Q: 1 5. x = x = (v² + 2 77 find the area of the surface obtained by rotating the curve about the +2)…

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Q: 2x + 3y = 1, reduce this to the intercept form. Draw the line

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Q: Evalulate the limit below by filling in the table. This is probably a function you are unfamiliar…

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Q: Maximize subject to the constraints 10x X y P = 4x + 15y+z y + 7z ≤ 20 3z ≤ 36 + 8y x 20 y 20 z 20…

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Q: The number of guests at a theme park can be modeled by function P(t) where t is measured in hours. P…

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Q: Siven y (cos(3x))*, find = dy using logarithmic differentiation. dx

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Q: The height​ (feet) of a ball launched in the air t seconds after it is launched is given​ by:…

A: The height (in feet) of a ball is launched in the air t seconds after it is launched is given​ by…

Q: estimate for f′(3)   x 0 3 6 9 12 15 f(x) 72 90 102 76 90 39

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Q: - d the absolute maximum and minimum values of f(x) = x³ − 3x² − 9x + 10 on the interval 41.

A: we will find the required.

Q: Find a plane containing the point (1,4,3) and the line of of the planes 7x + 5y - 8z = 27 and 5x +…

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Q: Compute the product. This exercise should be done using technology. (If an answer is undefined,…

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Q: Find the extreme values of the function f(x,y,z) = 5xy + 5z² on the circle in which the plane y - x…

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Q: Find all critical points of h(t) = t³/4 - 2t¹/4 and identify them as local maximum points, local…

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Q: Complete the parametric equations of the line through the point (-7,2,7) and perpendicular to the…

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Q: For the function f(x)=3x³ - 2x²+2x+8, find f'(x). Then find f''(0) and f''(5). f''(x) = 0 www

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Q: log 457,129 is between log 457,129 A and

A: As per our guidelines, we only solve one question and rest of the question will be reposted. Formula…

Q: A car rental agency rents 420 cars per day at a rate of $30 per day. For each $1 increase in rate,…

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Q: Find the critical numbers for the following g(x) = x² - 2x² +5

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Q: Use the table to evaluate the following limits: 8 f(x) -27 8.9 -30.6 8.99 9 9.01 9.1 10 -30.96 13…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: Consider the following. sin(20) 9 - 7 sin(0) Use the substitution u = sin(0) to rewrite the given…

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Q: A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2x² - 4xy+3y² -…

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Q: True or false: A function may have more than one absolute maximum value.

A: We have to check given statement is true or false.