Find a vector equation for the plane that contains the points P, Q and R Find a scalar equation for the plane that contains the points P, Q and R

Q: Find the derivative of f (x) = (x8 – 5x) (x² f(x)= + 10x 10).

A: Topic = Derivative

Q: Explain the process and strategies you would use to determine the derivative of y=tanx. Note that…

A: Break the tanx into Sinx/Cosx

Q: Determine the derivative of the function g(x) = ex^2 - e(2x-5). Do not simplify your answer.

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Q: xç lim x⇒-∞ x² −10x+5 –

A: The objective is to evaluate the limit.

Q: What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a point

A: The function of co is given by: y=Acos(Bx)+C where A is amplitude, B is the period and C is the…

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

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Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: As shown in the required readings or videos solve the Logistic Differential Equation below for an…

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and the…

A: Let's find volume of solid bounded by curve and plane by using double integration.

Q: A piecewise function is defined as f(t) = {4,5 t 0 ≤t <3 t≥3 i. Sketch the graph of f(t). ii.…

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Q: Evaluate (5x + 2√Y) ds where C is given in the accompanying figure. S (5x+2√5) ds- (Type an exact…

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Q: ou are given the polar curve r = cos(0) + sin(0). a) List all of the points (r, 0) where the tangent…

A: Let's solve. Given polar curve equation.

Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

A: Given:  Amplitude = 4   Period = 2π  POINT : ( 0 , 2 )

Q: It is projected that x years from now the population of a certain city will be changing at the rate…

A: We have to find the population.

Q: Please

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Q: Find the area under/bounded by the given curve. Show the graph (you can use any graphing software,…

A: To find the area under the given curve.

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

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Q: EXAMPLE 1 lim x+1 X-1 SOLUTION Since lim 2 In(x) = 2 In(1) = = x → 1 we can apply l'Hospital's Rule:…

A: Here we have to find the limit of the function.

Q: Evaluate the double integral: L Loddy. dr dy. y²/3 x² +1 Hint: Change the order of integration to dy…

A: We need to evaluate integral.

Q: I ++ y + 22 Z 1) Consider the system of linear equations 3x 11. If we are using Cramer's Rule, we…

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Q: What is the derivative of y = (4x2 + 9x + 1)e-2? O no correct answer Oye-2 [2(4x² + 9x + 1) + (8x…

A: Solve the following

Q: Evaluate the double integral: 2 ਰੰਜਨ dA e3(x² + y²) R where R is the unbounded region between 0 ≤0 ≤…

A: Let's solve given double integration.

Q: Discuss the solution on how to get the derivative of the function

A: This question is related to differentiation, We will solve it using given information.

Q: B = {x ER: x is a counting number} = {1,2,3,...} C = {x ER: x = 2n + 1 where n is a nonnegative…

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Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

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Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Please refer to the image below

Q: 1 x√x²+3 (A) Use trigonometric substitution to find f

A: Use  trigonometric substitution to solve the integral.

Q: y = 4x² from x = -3 to x = 3.

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. tan(2x…

A: The given function  tan(2x+y)=2x

Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

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Q: (2x-1) In(4x) dx

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Q: he function f(x) - 2x³ 30x²+144x + 6 has one cal minimum and one local maximum. Use a graph of the…

A: Please refer to the image below

Q: The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, -3) through the point (2, -2)…

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Q: A normal line is a line that is perpendicular to the tangent line which touches a curve at one poin…

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Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: Question Define R as the region bounded by the functions f(x) = around the x-axis, what is the…

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Q: F Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the…

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Q: Find the slope of the tangent line to the polar curve r = 1 + cos(0) at the point specified by 0 =…

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Q: Suppose and are non-zero, parallel vectors. Which of the following could not possibly be true?

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Q: A fence 24 feet tall runs parallel to a tall building at a distance of 6 ft from the building as…

A: Trigonometric ratio

Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

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Q: Solve the equation to find the value of a,b,c and d. Eqn 1: 6 = 6 b + d Eqn 2: 6 + 4 = 3b + c +…

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Q: Gi‎ven: ∫ 40∫ 4−z0∫ 2√y f (x, y, z) dx dy dz a. Sk‎etch the so‎lid of integr‎ation of the give‎n…

A: Let's solve.  1.   Sketch the solid.

Q: Question +² + 1 and g(x) = 2 between x = 2 and x = 3. If R is rotated Define R as the region bounded…

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Q: A payment of $750 is due in 3 years, and $5,100 is due in 5 years. What single payment made today…

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Q: If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air…

A: On solving this we will get

Q: The function f(x) 2x³ 33x² + 108x - 6 has two critical numbers. = The smaller one is x = and the…

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Q: Consider the basis S - (V₁, V₂) for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: A scheduled payment of $4,000 due in one year is to be replaced with two payments: the first due in…

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