(-8,2) (-2,0.7) 10- (-6,-2) (-3,-2) 10

Q: 3. Find the general solution of the second-order differ- ential equation d'y dy +2- + 2y = 0 dx² dx

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Q: b) Find all the values of a and b such that the plane and the line will always intersect at a single…

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Q: Differentiate. Why y = x2 + 2x - 2 x2 - 2x + 2

A: To differentiate the following function.

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Q: We have rewritten the integral as follows. ee³x 2e3x dx We will now try to find some function u =…

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Q: Let f(x,y) = x² − xy + y² − y. Find the directions u and the values of Df(1, -1) for which the…

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Q: What is the component form of the vector represented by 6a when a = (-2, 3)? 6a =

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Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=6-x² and…

A: To find the volume  of the solid S generated by given R: R is the region bounded by  and  and it is…

Q: What is the limit lim x→3 √x³ - 2-5 x - 3 3 27 10 9 10 +∞ Does not exist ?

A: Given

Q: Outcome 6 Find the derivative from first principles, given y = √x²+b

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Q: 24. y = x³, y = x 25. y = √√x, 26. y = cos x, 27. y = cos x, 28. y = cos x, y = 3x, 0≤x≤ 16 y = 2 -…

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Q: Factor the following expression by grouping.   x3−2x2+3x−6

A: let

Q: Given the equation 3x³ + x²y-2y³ = 0, evaluate function of x. 38 Assume that the equation implicitly…

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Q: Given the graph of f(x) below, what is the open interval(s) over which f'(x) is negative? 5 V AWNA -…

A: We know that,A function f(x) decreases where f'(x)<0 .

Q: 1. Differentiate. a) f(x) = x43x b) g(x) = x² — e√x -

A: We need to perform differentiation.

Q: Prove the formula for d dx d [arccos x] in the same manner used for [arcsin x] in class. dx

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Q: 3 aj X dx 2 12 = 4x²y

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Q: 1. when the a value is a fraction between 0 and 1, then the graph is compressed true or false 2.…

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Q: Let f(x, y) = 2x² + 3x + 4y+3y² - 10zy List the critical point: The critical point is a Select an…

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Q: y"+4y'+4=e^(3x) solve this

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Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

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Q: 1. Simplify first, then evaluate. Do not use calculator. a) logg 6-logg 3 +logs 2 b) log, 3√3

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: 17. A cylindrical tank with radius 5m is, at this moment, being filled with water at a rate of 3…

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Q: Let f(x, y) = exª Evaluate f(4,2)

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Q: 19. F(x, y, z) = yî + xyz ĵ – 2zx k, where S is the upward-facing paraboloid z = x² + y² lying in…

A: 19) Where, S is the upward-facing paraboloid  lying in cylinder From above curves the radius of the…

Q: Use integration to find f(3) if df dx = 3x 1/2 and f(1) = 5.

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Q: Determine the Cartesian equation of the plane containing these lines: y+10 z+2 L₁: = +70 = 23² and…

A: Normal vectorof the plane would be perpendicular to both the lines L1 and L2. So, parallel to L1xL2.…

Q: Given the initial condition y(0) = 2, find the particular solution of the equation e'y' - 2x = 0

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Q: Given f(x, y) =-3x¹ – 2xy² – 6y5, find - - fz(x, y) = fy(x, y) =

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Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: Given:We are required to find:

Q: f = -9i+40j Find: -9f f=i-j g=12i+ 3j Find: -4f-10g u = -9i+4j Find: -5u

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4. 2 #…

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Q: 1) (-1)"(4x + 1)″ For what values of x does the series converge? n=0 a) Find the radius and interval…

A: 1) Σ  Σ(-1)^n(4x+1)^n where n→ 0 to ∞For what values of x does the series converge?a) Find the…

Q: If the number of bunnies B, increases at a rate proportional with the square of B, write the…

A: If the number of bunnies , increases at a rate proportional with the square  of , then to write the…

Q: Given f(x, y) = -5x¹ − 3xy² + 4yº, find fz(x, y) = fy(x, y) -

A: We have .Now, we need to find f_x(x, y) and f_y(x, y).

Q: Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero…

A: To find the smallest integer  such that the Intermediate Value Theorem guarantees that   has a zero…

Q: 1. у ул y=3x - x² 0 y=x (2, 2) AX

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Q: Evaluate. Assume u > 0 when In u appears. 7 e3x e3x + 1 hrs dx

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Q: practice question - 11.32 Gwanda has the following equation for a sphere: (x^2) + (y^2) +(z^2) -…

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Q: Convert the rectangular coordinates of each point to polar coordinates. Use degrees for 0. 5. (√3,3)…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Consider A ABC, where a = 8, c = 11, and m/C = 33°. What are the measures of the missing angles and…

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Q: Solve the following autonomous differential equation with the given initial condition. dy dt =…

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Q: 25. Determine the value of k so that f(x) is continuous. Show work. x² - k 2x² + 7x-22 x≤2 x>2 x-2…

A: A function f(x) is said to be continuous at a point a, if Left hand limit and right hand limit and…

Q: Consider the curve y = x² + 3x +5. Find the slope of the secant line at the point where x = 9. Oh +0…

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Q: Evaluate: log,6 O -1.631 O 18 -0.613 1

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Q: Let f(x) = log6x and g(x)=₁*. For all x g(x).

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Q: O с 5. Given the function below, what would be the domain of the function's inverse? 1/2 -0.5 ≤x≤0.5…

A: Domain of a function f(x) is defined as the set of valued of x for which the function gives a…