Find an equation of the plane that passes through the points (2, 4, 1), (2,2, –4), and (-–3,5, 3). Equation:

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A: (a) from the graph, identifying the x-coordinate where f(x) is minimumf has local minimum value at…

Q: Solve the polynomial equation by using the root method, and check the solutions graphically. 3x3 -…

A: Explained below

Q: xy2y' = x + 1.

A: answer is in step 2

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Q: Type exact answer only. No other unnecessary symbols or words. Write DNE if your think the limit…

A: Here we have to find the limit when x tends to '-2' , '0' , and '3'.

Q: 1. Compute the first, second, and third derivative of a. f(x) = x2 In(x+1) %3D b. h(x) = x2 sin x…

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Q: Encontrar el enésimo término de las sucesiones 1 2 3 4 4'9'16' 25 3n an 1 1 an (n + 1)! °n =+ (n +…

A: Consider the sequence  14,29,316,425,........

Q: Find the area of the region enclosed by the graphs of x = y – 12y and y + 2x = 0. (Use symbolic…

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Q: Find the solutions graphically. 2x- 3x2 - 23x+ 12=0 ... The solutions are| (Type an integer or a…

A: The given equation,      2x3-3x2-23x+12=0 Note:    Multiple questions are given, we are answer with…

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Q: Suppose the graph y f(x) lies entirely above the a-axis. Which of the following gives the %3D…

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Q: Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that…

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Q: What two positive real numbers whose product is 19 have the smallest possible​ sum?

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Q: For each equation, determine whether it represents a direct variation, an inverse variation, or…

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Q: S sin x In(cos x) dx

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Q: Find the exact value of the limit using L'Hopital's Rule, make sure to talk about all indeterminate…

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Q: ance between the skew y = 5+ 2t, z = 5 – 4 y = 6, z = 1+3 e exact answer.

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Q: The sum of two numbers is 12. if one number is x, what is the value of x such that the product of…

A: Here, let the two numbers be: x & y Then, x+y=12⇒y=12-x Now, the product of the two numbers be:…

Q: 16 Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 6j. NOTE: Enter the exact…

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Q: Let g(x) = 8 In(t) dt. Use the Fundamental Theorem of Calculus to find g'(x). gʻ(x) =||

A: The given function,         gx=∫1x8 ln(t) dt

Q: 4. The function g(t) = (8t)* – cosh² t + sinh? t satisfies g'(c) = 0 for which value of c? %3D (a) c…

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Q: A particle is moving along the x-axis. The position of the particle at time t is given by x(t) = t3…

A: We have to use given formula to solve the problem

Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+ 1)

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE:…

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Q: -3x у" + 5y' + 4y %3D 10е'

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-8,-6)…

A: Let's find.

Q: Evaluate the integral. dx a > 0 (a² x3,3/2' Need Help? Watch It Read It

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Q: Determine the area of the right half of the cardioid formed by r = 7+6 sin 0 14 12 10 8 6 2 -2 -4…

A: Explained below

Q: f (x+h)-f(x) f(x+h)- f(x) 3. Compute and lim for the following functions: h→0 a. f (x) = sin x b.g…

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Q: хах 11. The integral f 4-х2 is equal to 1 A. In | | + C C.-글m14- x리 + C 4 x+2 2+x B. In |4 – x2|+C…

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Q: ind the directional derivative of f at P in the direction of a. r, y) = 5x°y°; P(3, 1); a = 4 i – 3…

A: Given query is to find the direction derivative.

Q: Find the area A of the sector shown in each figure. (a) 80° A =

A: Given query is to find the area of the sector.

Q: The rule of the derivative of a function f is given. Find the location of all local extrema. f'(x) =…

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Q: 10 a. lim 1+3 x - 2 10 b. lim T7 x -2 2x +1 c. lim T-2 x – 3

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: QUESTION 6 Encontrar la suma de las series infinitas En=o 2 2(-)" in3D0 4 3 -1 4 O O O

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Q: Find an equation of the plane that passes through the point P(5, 6, 2) and has the vector n = (1,7,…

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Q: Is y = 2x² a solution to the differential equation 1/2 (x^2)y'' - xy' + y =0?

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Q: For each equation, determine whether it represents a direct variation, an inverse variation, or…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i+ 4j. NOTE: Enter the exact…

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Q: Test your understanding. Write TRUE on the space provided if the statement is correct and FALSE if…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: The population of algae on a Petri dish is dying from exposure to a potent toxin. Its population…

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Q: Write the equation in spherical coordinates. (a) z? = x² + y² (b) x² + z² = 9

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: To solve the following problem using langrange multiplier

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) tan(2x) lim x→0 tan(7x)

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Q: dy = 6 3y – x- dx

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Q: Determine £(F}. F). 21 4s-18s +6 F(s) = %3D s(s-5)(s-6)

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Q: Find the indefinite integral C sec x tan x +3 sec x) dx.

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