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Q: Let Find A -1. if it exists. 4) b) O ) O 05/13/1 1 ۔ ه - -4 0 0 -1 | | ON T مام دام نه دانه شبانه…

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Q: 1. Obtain the general solution by the indicated technique: separation of variables 1.1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. (a) Draw the graph of f(x) = = 2x x 0 (b) Find lim f(x) and lim f(x) or explain why they do not…

A: follow next step

Q: The linear approximation at where A is: and where B is: = 0 to sin (3x) is A + Bx

A: We need to find Linear approximation.

Q: 12 2 √x - 3 ах

A: ∫3122x-3dx

Q: Initially an 800 gallon tank contains 400 gallons of water in which is dissolved 50 lbs of salt.…

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Q: Consider the point (음, %) Fort 1. Find (sc (t) A).& 10 22-1 B) 은 C) - 음 이응 Ja 100 0)-10 F) - g) none…

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Q: fib)-fla b-a sandth. f'(c) in the conclusion of the Mean Value Theo

A: We have to choose the correct option from the given options according to the given information

Q: Prove: If U AUB and An B = Ø, then A = U\ B

A: we can prove the  given statement .

Q: • [ε (a) Evaluate S (b) Evaluate 3.re dr. r² sin z dr.

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = xy. The directional…

A: To find the directional derivative of given function

Q: 13. If f(x) = 4x²-4 x-1 A. I only x≠1 " C. I and III only 4, x = 1 I. lim f(x) exists x-1 II. fis…

A: We can solve this as follows:

Q: Evaluate the following integral in spherical coordinates. 2 /4 4 csco 2 SS S p² sin o dp do de Ο π/6…

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Q: 16. Determine lim f(x) if the given function is x→2 f(x) = x². 8-2x, if x 2

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Q: дz дz Given xyz = z + sin(x + y), find and Әх ду

A: The given multivariable function is:xyz=z+sin(x+y)

Q: Assume that marginal revenue is given by: dI(x) / dx = 2,500 - x - 2x2 a) Determine the revenue…

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Q: Find a cubic function y = ax³ + bx² + cx + d whose graph has horizontal tangents at the points (-2,…

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Q: Use polar coordinates to set up and evaluate the double integral f(x, y) = x + y, R: x² + y² ≤ 16, x…

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Q: 21-22 Find y' and y". 21. y = x² ln(2x)

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Q: ʼn object is thrown vertically upward whose height is given by the function s(t) = − 16t² + 35 here t…

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Q: Find f′(x) and simplify.   ​f(x)=1/(x+35)  f'(x)= .....?

A: Differentiate wrt x

Q: Evaluate each expression using the graphs of y=f(x) and y=g(x) shown below. a) (gof)(6) b) (gof)(0)…

A: To find (fog)(a) = f(g(a)), first find g(a) . Then, put the value of g(a) in f(g(a)) . Let g(a) = b…

Q: Answer the following questions for the​ price-demand equation.   p+0.002x=50   Question content area…

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Q: 3. Find the differential equation by eliminating the arbitrary y = (x+c)ex constant State the…

A: The given solution of the differential equation y=x+ce-x. We have to find the differential equation…

Q: (c) Check that your solutions t substituting the expression 63. xy + 2x + 3x² = 4

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Q: Let y = 3x² + 4x + 2. Find the differential dy when x = 5 and dx Find the differential dy when x = 5…

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Q: 7. (a) Let f(x) = 5x5 + x¹ − 2x³ – 1. Explain why f is continuous on (-∞, ∞). (b) Show that f(x) has…

A: We know a polynomial function is continuous in the whole real number plane. If f(x) be a continuous…

Q: Use l'Hopital's Rule to evaluate the limit. x³-8x2.7 x-1 O 16 O 11 O-13 O 19

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Q: K A Coast Guard Station Able is located L=200 miles due south of Station Baker. A ship at sea sends…

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Q: Consider the following. 300 (1.025) 5 = 1100 (a) Find the exact solution of the exponential equation…

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Q: Find the eigenvalues of the upper triangular matrix [3 4 5 0 6 7 0 0 8]

A: The given matrix, 345067008 We have to find the eigen values of the matrix.

Q: Find the​ equation(s) of the tangent​ line(s) to the graph of the indicated equation at the​…

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Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

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Q: Suppose a product's revenue function is given by R(q) 3q² + 200g. Find an expression for the…

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Q: (3) Use the Comparison Test to determine if the series is convergent. ∞ sin n n² + 2 n=0

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Q: Question 6 Which of the following techniques is best to use to evaluate the given integral? A e 3+e…

A: Given, ∫ex3+e2xdx

Q: 6. Determine the standard equation of the parabola in Figure below given only its vertex and…

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Q: (b) Hence find the value of | Vy 2y(1 + y2x) ey?x dx dy. (c) Find the value of vaz-x2 ( + )

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Q: Without evaluating integral, prove that 1 dx S 0 /2+x-x² 2 < 1 √2

A: Prove that , 23≤∫01dx2+x-x2≤12

Q: solution to evaluate 3 2+1 y-1 ГГГ x + y2 dx dy dz ? Z 3 4 Ⓒ √ ²² - ² - ² + + 2+1 A 6 2 2 В 3 o fl с…

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Q: lim x² Inx x⇒0+

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Q: 18. Using Lagrange multipliers, find the point on the plane x + 2y + 3z = 4 closest to the point…

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Q: Write the composite function in the form  f(g(x)).  [Identify the inner function  u = g(x)  and…

A: To find the derivative

Q: Determine the vertex, focus, directrix and axis of symmetry of the parabola with the given equation:…

A: we need to find out the vertex, focus, directrix and axis of symmetry of the parabola and also need…

Q: Consider the following. 62 1 + ex (a) Find the exact solution of the exponential equation in terms…

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Q: Consider the function below. In x 9√x (a) Find the interval on which f is increasing. (Enter your…

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Q: A box with a volume of 8m³ is to be constructed with a gold-plated top, silver-plated bottom, and…

A: Given:         Assuming the box is a cube.         The volume of cube = side³           side3=8…

Q: For the function y = x² + 2x find the value of dx when x = 3 and dy is 0.8. O - 0.2

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. • Stan(kx)…

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Q: 2. 2 S² X (x + 1)² dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…