Find an equation of the plane. The plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1)

Q: Find the interest rate needed for an investment of $10,000 to grow to an amount of $13,000 in 6…

A: I have appended the formula used in the solution part of the question

Q: Current Attempt in Progress Suppose that f and g are continuous functions such that f(4) = 5 and…

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A: Given that     f(x) =  z=x2+xy+12y2-6x+y      First  ,   p = fx = 2x+y-6                  q =…

Q: find the limit x appraches 4 (2x3/2)

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Q: (0) + ]) (²) 500+ ( [ (x)500 = (T) = = ()UIS = (x + 2)UIS (x) = (x+

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: ASIC ( Determine the intervals on which the given function is concave up or concave down and find…

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Q: Use the second derivative test to find the location of all local extrema in the interval (0, 2π) for…

A: Here we have to find the local extrema.

Q: र P=Ae+Bex What yp

A: We can answer the question as below.

Q: thank you! Trying to figure out why the final answer was 'near -542.2258964609'

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Q: Solve the following initial-value problems starting from yo dy dt A. = est y = = : 7. At what time…

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Q: Use the Comparison Test to determine whether the series converges. n1.2-8 2.3 +8 Identify b, the…

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Q: Express the number 3√3 - 6i in the form R(cos(0) + i sin(0)) = Re¹0, where R> 0 and -T≤ 0 ≤ T. NOTE:…

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Q: 2. Provide an example of two different rational functions so that: f(x) represents a rational…

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Q: 3 Factor (x + 7)³ + (− 3x + 1)³. Show all your work.

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Q: Write the following expression as a single summation. ΤΗΣΗΣ 7· Σ (k2 + 8) + 9· Σ (2 - 1) = Σ k = 1 k…

A: Note :- These are multiple questions and according to our comapny guideline we can do maximum 1…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: Find the indefinite integral. (Use C for the constant of integr √(x-8 - 8)² dx

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Q: Let f(x) = ²15 Find the critical points c that correspond to local minima. (Use symbolic notation…

A: Given :fx=xx2+15

Q: Rewrite the expression as a single logarithm. In 6-In 5

A: This question can be solved using the concept of logarithm.

Q: Evaluate the indefinite integral using Substitution. (use C for the constant of integration.) 3 ln z…

A: Substitute ln(x)=t

Q: Use the fact that the volume by the vectors u, v and w is of a tetrahedron with adjacent edges given…

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Q: Solve the following ODES by Inverse Operator method (-1) A (D² - 2D +1) y = x e sinx X Ans, Y CÁCếtế…

A: Solve ODE by an inverse operator. Given information: The differential equation is D2-2D+1y=xexsinx

Q: A farm costs f(x,y), where x is the number of pigs and y is the number of horses. There are 10 pigs…

A: Given fx(x, y) = 2x fy(x, y) = y2 f(10, 20) = 1,000,000 We have to estimate f(12, 19).

Q: Learning Task 2. A. Solve the systems of equations by a) graphing b) elimination el substitution Eq.…

A: We have to solve the given linear equations.     According to our guidelines we can solve only one…

Q: Find area bounded by the carves. (Round answer to 2 decimal places) y = 7x² −2x _y=x³ -7x+4 +

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Q: 2. Consider the function: f(x) = ² +⁹ Step 1. Find the critical values of the function. Separate…

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Q: (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0

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Q: each of the problems, apply the method of reduction of order to find a second solution of the given…

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Q: Find the critical points and the intervals on which the function f(x) = (x³ - 2x) e* + 8 is…

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Q: Evaluate the following integral [Y*arctan(1/2)de

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Q: 5. Determine whether 3x 4 is a factor for each polynomial. Show all your work! 3 a. 6x 6x³ - 26x²…

A: Solution is given below:

Q: 42 1. Calculate the Laplace transform of f(t) = 1. 2. Calculate the Laplace transform of f(t) =…

A: Let's find laplace transform.

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

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Q: (a) Graph the function f(x)=-=x+4, -3 < x≤6 3 (b) Graph the inverse function of f(x) on the same…

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Q: □ Solve the following ODES by Undetermined Coeff. X 22X ● "Y + 5y + 4y = x 2² ● 4X "y - 16 y = 19.2…

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Q: Find cube roots of -64i. Graph each cube root as a vector in the complex plane

A: To find the cubic roots.

Q: Find the critical points of f(x) = x - x and apply the Second Derivative Test (if possible) to…

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4373 per…

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Q: ?. Then the value of the directional derivative in the direction (-3, 4) at the point when (-1, 1)…

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Q: (4- x - x² if x ≤ 2 2x-7 if x > 2 Calculate the following limits. Enter "DNE" if the limit does not…

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Q: Find the general solution to the following problems: 1. (D² + 4D + 5)y = 50x + 13 e³x 2. (D² - 1)y =…

A: 1. Its AE is: D2+4D+5=0 D=−4±16−202=−2±i Thus  CF​=e−2x(c1​cosx+c2​sinx) Here X=50x+13e3x Lets find…

Q: A test requires that you answer either part A or part B. Part A consists of 9 true-false questions,…

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Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $10 the…

A: In this question we have to find the ticket price that would maximize the revenue.

Q: (True/False) Two lines in three-dimensional space parallel to a plane are parallel to one another.

A: Given that  Is two lines in three dimensional space parallel to a plane are parallel to each…

Q: Question Find dy and evaluate when x = -1 and dx = 0.1 for the function y = 7x² + 5x + 4. Provide…

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Q: 15 > For the integral (2x² + 6) dx, find all numbers u guaranteed by the Mean Value Theorem for…

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Q: (a) Evaluate the double integral Je emax{z²,y²} where R = {(x, y) |0 ≤ x ≤ 1,0 ≤ y ≤ 1} is the unit…

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Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

A: This question can be solved using the concept of maxima and minima.

Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. A= B= C= b=5…

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