1.) An= (n +-4: give the first s terms. 2.) An = 48 26 ; insert 5 terms. 3. Ah = {-13, -6, 1,8,...} give the formal- 3)

Q: Let g(x, y) = x² + y² x² + 1 (a) Sketch the level curves of g at levels k - 1,2 on a common…

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Q: State the number of complex roots of each equation. Then find the roots and graph the related…

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Q: 9. Find the first four non-zero terms of the Taylor series for f(x) = - centered at %3D

A: We have fx=1x The Taylor series for fx centered at x=a is given by:…

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 70,000 +900x. (A) Find the…

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Q: 10.    Use Trapezoid approximation with n = 4 equal subintervals to approximate the value of 1…

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Q: B) Find the area of the region between the curves x = quardrant. = y² and x = y + 2 in the first

A: The given curves are x=y2 and x=y+2.   Now find the points of intersection between the given curve.…

Q: Solve the following differential equation by Laplace: ² - 4y = 16 t -6, y(0) = 3 . dx

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Q: 5 -4 -3 -2 -1 + -2 1 2 3 4 4 5

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Q: For which value of b the boundary value problem BVP y" + 25y = sin x, y(0) = 0, y(b) = 0 does not…

A: The general solution of the higher order differential equation=CF(complementary…

Q: 3) Consider the following functions: a) f(x,y)=xy. b) f(x,y)=x²y² c) f(x,y)=lnx+lny

A: As per our guidelines we are allowed to solve only 3 subparts.   Given a) fx,y=xy b) fx,y=x2y2 c)…

Q: A = 2 -1 2 5 5 -1 0 43

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Q: Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) = y(0)…

A: For a second-order differential function, the characteristic equation will have two roots D1 and D2…

Q: dz Find where z = 3x²y³,x = t¹ and y = t² dt

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Q: B: Evaluate the following: 2- 6 I (5.66) 5r (0.66)

A: Given 6Γ5.665Γ0.66

Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 191. y = √x from x=2 to x = 6

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Q: Let f(x)=3x+5f(x)=3x+5 and g(x)=4x2+2xg(x)=4x2+2x. After simplifying, (f∘g)(x)=

A: We can find the composition of the function.

Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

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Q: Find the solution of the differential equation dx 2y +x+ xy3

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: For the equations below, q is the total number of units produced per day by m employees of a…

A: Given: q=500m-m250=10m-m250 ;p=-0.3q+80  =-0.3×10m-m250+80  =-310×10m-m250+80  =-3m+3m2500+80…

Q: 1.) dy dx 2x-y² 1+2yx = 0

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Q: 2x + x x+ 2+ x² + x - 2 uate lim - 2x + [²x] x-2- x² + x - 2 and lim

A: Topic:- limits and continuity

Q: Find a parabola with equation y = ax^2 + bx + c that has slope 10 at x = 1, slop -18 at x = -1 and…

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Q: The graph of a population P(t) of squirrels is shown. Identify the discontinuities of P. t = P 30 29…

A: We have given graph of population P(t) of squirrels. From given graph  discontinuities of P is given…

Q: Find for the following function. dy dx y = 11 2 cos x 1 – sin x

A: The given function is; y=2 cosx/(1-sinx).

Q: Evaluate_lim_ (√9x² − 5x +1+3″

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Q: Evaluate_lim_ (√√9x² − 5x+1+3x).

A: Replace x with -a and then go ahead.

Q: Find the exact value of each x ∈ [0, 2π) for which sin(2x) = √ 3 cos(x).

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Q: lim 8个8 5x 2x² +9

A: To find the limit of given function.

Q: The x-coordinate of a particle in curvilinear motion is given by x = 4.9t³-5.2t where x is in feet…

A: We have to find v and a.

Q: 5. y = log₂ (sin x) 5. y = sec(In x)

A: Topic = Derivative

Q: 8. Find z₁ if z = xyev, x = rcos (t), y = rsin(t), when r = 2 and t = 516

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Q: Find the differential equation of families of straight lines with slope and x - intercept equal. a.…

A: To find differential equation with given conditions.

Q: Which of the following is an equation of the tangent line to the graph h(x)=- Oy-3--1(x-3) Oy - 1/2…

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Q: The count in a bacteria culture was 100 after 20 minutes and 1600 after 35 minutes. Assuming the…

A: The growth of bacteria is given as , ft=cekt Growth rate (k)=?

Q: 4. Find the Laplace transform of following functions: (i) (ii) (iii) f(t) = 20 f(t) = t - 2et f(t)=…

A: Basic formulae for Laplace Transform are required.

Q: Express the domain for each function using inequality notatation. Enter "DNE" for the empty set and…

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Q: xekx (f) S dx where k is a constant. If there are any particular values of k where your (1 + kx)²…

A: The given question can be solved using the concept of integration by parts

Q: 6. Solve logsx - log5 (x-16) = 1 for x.

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: B: Evaluate the following: r (4)r (²) 1

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Q: Solve the problem. The population P of elephants in a wild animal preserve changes with time (in…

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Q: A small business can produce a maximum of 54 of its product per month and sell them for $ each. The…

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Q: Suppose that lim f(x) = 13 and lim g(x) = -8. Find the following limits. X-7 X-7 a. lim [f(x)g(x)]…

A: Suppose that limx→7 fx=13, and limx→7 gx=-8. To find the following limits.a limx→7 fxgx b limx→7…

Q: In the following exercises, compute the antiderivative using appropriate substitutions, and state…

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Q: 10. Integrate the Exp./Log. Function (integral calculus)

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Q: Given that f(x) = 6 -√²+1 and g(x) = x - 7, find: 2 a) (fog)(-2) b) (fog)(x) = 6-√(x-7)²+1

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Q: Find the derivative of f(x)= (428 + 22-1) ⁹.

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Q: Exercise 3 nd the order of the following differential equations: a.) y" - 2(y")² = (y'-2y)³ d²y V…

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