Estimate the value of log,8.9. O 2- 2+ 2+ 1 90 1 60 ✔ logge -logge - 108 90 1 2- - logge 60

Q: 9. The covertices of an ellipse are (5,6) and (5,8). For any point on the ellipse, the sum of its…

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Q: B. Determine the foci, vertices, and asymptotes of the hyperbola with x²y² equation -=1. Sketch the…

A: we need to find out the foci, vertices, and asymptotes of the hyperbola.

Q: Complete the table Equation y (4) + 5y" + 4y = sinx + cos2x Appropriate Form of the Particular…

A: We need to find form of particular solution of D.E.

Q: 1. Find a, b, c, and d such that the curve y = ax³ + bx² + cx + d has its tangent line at (1, 1) and…

A: The curve y=ax3+bx2+cx+d has its tangent line at 1, 1 and at 0, -2 are parallel to lines y=3x+4 and…

Q: 10. An ellipse has foci (-4-√15,3) and (-4+ √15,3), and its major axis is 10 units long. Find its…

A: given that focci of ellipse is  (-4-15 , 3) and (-4+ 15, 3) and its major axis is = 10  then we have…

Q: Find the equation of the line tangent to the graph of f(x) = 3x - 1 at x = 0. O a. m = = 3 O b. y =…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Evaluate the following: Use L'Hopital's rule if applicable

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Q: Elementary Differential Equations (Upvote will be given. Please write the complete solutions…

A: Let's solve given differential equation.

Q: Solve the following DE: y'=y-ay-³e-2r O e²¹ = y(x²+C) 2x O e ²¹ = y²(x²+C) -2x ○ e− ²¹ =y²(x+C)…

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Q: -0.008t² + 0.6t, = Suppose that in a memory experiment the rate of memorizing is given by M' (t)…

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

Q: Find the absolute minimum value on [0, co) for f(x) = (x+6)(x-3)². Select the correct choice below…

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Q: = e price-demand function for selling x pieces of a certain product is given by p(x) = r, while the…

A: Given query is to find the cost function.

Q: Textbook Let y Ay≈ Videos [+] 5x² + 7x + 2. If Ax 0.4 at a Submit Question Jump to Answer 3, use…

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Q: x -4 2 lim x 2 x O a. 2 O b. -2 O c. -4 O d. +∞ O e. 0 O f. O g. 1 O h. None among the choices. O i.…

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Q: Express the Cartesian coordinates (1,1) in polar coordinates in at least two different ways Write…

A: Topic - cartesian coordinates to polar coordinates conversion We are given cartesian coordinated…

Q: Let f(x, y) = x² + 2y² + 8zy List the critical points: The critical point at the origin is a Select…

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Q: Solve the following DE: x³ydx + (3x4-y³) dy = 0 O 15x5y 10 2y ¹2+ C ○ 4x6y 10 = 3y ¹2+ C 12 O 15x4y…

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Q: lim, 0 sinx − x 3

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Q: 6. 25x² +9y² = 225

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Q: 6.25x² +9y2: = 225

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Q: 1) The price-demand function for selling x pieces of a certain product is given by p(x) = 5x²+ 37x,…

A: The price‐demand function for selling x pieces of a certain product is given by px=5x2+37x, while…

Q: 7. Find the standard equation of the ellipse whose foci are F1(0,- 8) and F2(0, 8), such that for…

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Q: etermine the average value of -3- 2 f(x) = x² over the interval [0, [0, 2].

A: Given  f(x)= x2

Q: Find the double integral (x + y) dA, where R is the region enclosed by y = x² and y² = 216x. R (Give…

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Q: Evaluate the definite integral. 6.³ 0 2 1 + 1x² -dx

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Q: Let f(x) = √√2 x ln(2x - 1). Use the local linear approximation of f(x) at xo = 1 to estimate the…

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Q: Solve the following initial-value problem: O3 9 dy dx 9 +y²=1, y(0) = 4 y² = 1+ 7e 3 3x y² = 1+ 7e ²…

A: To solve the given differential equation

Q: Consider the function f(x) = 4x + 2x¯ For this function there are four important open intervals: ( −…

A: We need to find A,B,C. As per Bartleby guidelines we can solve one question from multiple questions.…

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: Given that function f(x) = x4-2x3+6 First derivative f'(x) =ddx( x4-2x3+6)=ddx( x4)-2ddx( x3)+ddx(…

Q: The legs of an isosceles right triangle increase in length at a rate of 2 m/s. Determine each. Z A X…

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Q: Part 2: Ordinary differen Q2.2 Response: 2x4 and y = 16x (on the same Draw the sketch-graph of the…

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Q: Find the coefficient of xº in the Taylor series ₂6 expansion centered at x = 0 for f(x) = 1.…

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Q: PROFIT A manufacturer determines that when x hundred units of a particular commodity are produced,…

A: Given:- Px=400015-xx-2 Px=Profit function to produce x hundred units

Q: the curve. -6 r = 7+ sin(49) -4 -5 y 6 4 2 -6 -5 2 4 6 -6 -4 -2 4 2 4 6 -4 2 4

A: Given Equation:- r=7+sin4θ

Q: Blank 1 0 Question 22 . If f'(x) = 4x³ + 3x² + 6x and f(1) = -3, then C = ANSWER: C = Blank 1 Blank…

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Q: Find all solutions of the equation 3 sin² x - 7 sin x + 2 = 0 in the interval [0, 2). The answer is…

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Q: Find the coordinates of any local and absolute extreme points and inflection points. y = 2x3-9x² +…

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Q: Suppose A is not diagonalizable. If the characteristic equation of A is: -λ +2^² - 2³ = 0 then dim…

A: Given :-  A is not diagonalizable. And Characterstics equation.  Topic :- Matrix.

Q: (e²y - ycosxy)dx + (2xe²y — xcosxy + 2y)dy = 0

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Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. [°…

A: To express the integral as a limit of Riemann sums by using right endpoints.∫466+x2 dx

Q: Given f(x, y) = 6x¹ − 6xy² + 4y³, find fiz(x, y) = fzy (x, y) = fyy (x, y) = fyr (x, y) =

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Q: Question The rate of change of a quantity y = y(x) is proportional to value. If y(0) = 10 and y(1) =…

A: Given query is tk find the value of y(2).

Q: UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. BOX THE FINAL ANSWER. Subject:…

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Q: Which of the following is false? O a. f(x)=x-2 has y-intercept at (0,-2) O b. f(x)= x + 2 has…

A: Given :fx=x-2 or x+2

Q: Find the area of the region that lies inside both curves. r = 5 sin(8), r = 5 cos(8)

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Q: Find the local extrema of f(x)= (x-1)^2 / x^2+1 Using first/second derivative test

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Q: 30N 12. Find the work done by the force F = 8î - 6ĵ that moves an object from the point (0,10) to…

A: Let's find work done by the force(in Newtons).

Q: 3 [² (1 - e-²x) dx

A: Given,            ∫031-e-2xdx

Q: lim an = 818 = 9n! 20 If It converges, find the limit. (If the sequence diverges, enter DIVERGES.)

A: Limit