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Q: Find all the values of t where the tangent line to the parametric curve is horizontal or vertical.…

A: x=32t-cos tdxdt=32+sin tvertical tangent line:dxdt=032+sin t=0sin t =-32t=2nπ+4π3  and t=2nπ+5π3,…

Q: Calculate following derivative if y(t) 21-3 + 712. (Use symbolic notation and fractions where…

A: Given problem:- if y(t) = 2t-3 +7t2 find d2y/dt2 at t=2

Q: у" - (а + В)у' + авy %3D 0

A: Given

Q: Question Use the second Taylor polynomial for f(x) = e" at x = 6 to estimate e7. Round your answer…

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Q: Calculate the following derivative if h(w) = Vwe3w. (Use symbolic notation and fractions where…

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Q: dr 2.

A: Use simple integration formula.

Q: Suppose that csc(t) = and that tis in quadrant IV. Find the exact value of cos(t). -3/2 V5 V5 3 -2/3…

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Q: Determine wheather the Following g eometric series are convergent or divergent, If they are…

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Q: x³y' – y? – x²y = 0

A: We have to integrate the above expression

Q: 8. Let g(x) = x - 3x + 1. (a) Find and classify all critical points of g. (b) Find the absolute…

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Q: Evaluate R(r+ y)dA, where R is the region bounded by y = r,y = r and y = V4 - 2. Lütfen birini…

A: In the given question we have to provide the double integration Using the formula,…

Q: (x+a)² 3. Let f (x) where a is a constant and a -1. (Note if a = -1, then f(x) is a line %3D x-1…

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Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium. x =3. $2 $ 27 $9 $ 18

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Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

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Q: Without using a calculator evaluate the definite integral. | (10x - 6x +6) dx = Σ

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Q: x cos y + sin 2y = xy

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Q: Select the conic section represented by the equation. 16x 2 - 9y 2 + 64x + 18y - 89 = 0 circle…

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Q: The solution of the initial value problem: 1 dy X +1 dx 1 for which y(1) = 1 is y

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Q: Sketch the region bounded by the graphs of the functions. = gtx) = -e", x =x = 1 (x) Find the area…

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Q: Find the area of the region outside r = 5 + 5 sin 0 , but inside r = 15 sin 0.

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Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if Ix-yl se,…

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Q: Match the vector field with its graph. F(x, y) = yi 5 -5+ 5 5 -5+

A: Given data÷

Q: 3. Find the second-order partial derivative fry (x, y) for the function, f(x,y) = 4x3 – 5x²y – 3y +9…

A: f(x,y)=4x3-5x2y-3y+9Differentiate partially w.r.t xfx(x,y)=12x2-10xy

Q: Find the tangent equation for the function: f(x) = Vx2 +5 at x=2? Find the limits by using L.Hopital…

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Q: 4 Determine whether the alternating series E (- 1)"7 converges or diverges. 9 Inn n=2 Choose the…

A: FOLLOE NEXT STEP

Q: Let i = and v =. If ü xi = then determine the value of 3A+B+C.

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Q: When a factory operates from 6 AM to 6 PM, Its total fuel consumptlon varies according to the…

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Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. 4-…

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Q: #5) Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) a. -5…

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Q: Find the equation of the tangent to the curve x2 = y²x + 2 at (-1, 1). Use graphing software to find…

A: To find the equation of tangent at the given point

Q: In 7 years Harry and Sally would like to have $20,000 for a down payment on a house. How much should…

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Q: Use integration to find the area of the triangular region having the given vertices. (0, 0), (8, 0),…

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Q: 3. At 2:00P.M, a thermometer reading is 80°F is taken outside where the air temperature is 20°F. At…

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Q: Find the area inside one leaf of the rose: r = 4 sin(30) The area is

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Q: 4. Find all real values of x such that x-1|> Ix+11. (-00,-1] (-00,0) O 1,0) O 1,1) O None of the…

A: Interval

Q: Find the divergence of the field. F = (2x+7y-8z)i + (5x +3y+6z)j + (-6x-y+2z)H div F =

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Q: Calculate the first, second, and third derivatives of = x' e2x (Use symbolic notation and fractions…

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Q: Let f(x) = -0.4x² + 9x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Giveen query is to find the x coordinate of the vertex.

Q: (a) y = x° arctan(e")

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the equation cos(2t) = 0.8. Find the smallest positive solution in radians and round your…

A: We have to find the smallest positive solution.   According to our guidelines we can solve only one…

Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: 2. The population of a city grows from a initial size of 1000,

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Q: Calculate the second and third derivatives of y(r) = ar6. (Use symbolic notation and fractions where…

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Q: Find a parameterization of the surface cut from the parabolic cylinder z= 1-y by the planes x= 2, x=…

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Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x=47. Round…

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Q: Given a derivative transform of s³Y (s) – s²y (0) – sy (0) – y" (0) – 382Y (s)- 3sy (0) - 3y (0) +Y…

A: We will use the formulae of Laplace transform of derivatives of a function.

Q: Suppose that f '' is continuous on [1, 3] and f(1) = 3, f(3) = −4, f '(1) = 5, and f '(3) = 4.…

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Q: 6 Determine the interval of convergence for the power series that can be used to represent the…

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Q: B) Find for the Implicit function: dx x² - sin(xy) + y² = 5xy

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Q: az 9- z2 – 2xz 16 find | ax ду at the point (1,1) 10- x+ 2xy – y² = 2 find ax 11- Find The slope of…

A: 9)z2-2xz=16differentiating w.r.t. x;2z ∂z∂x-2z(1)-2x ∂z∂x=0(z-x)∂z∂x=z∂z∂x=zz-x