d the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 8x2 - 6x - 5 lim x-(-1/2)

Q: Find the points on the graph of f where the tangent line is horizontal.  f(x)=(x^2+8)(5-x) larger…

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Q: lynn deposits $683.09 at the beginning of each quarter for three years in order to accumulate…

A: Given Periodic contribution, P=$683.09 Sinking fund, A=$9500.60 Time period, t=12 Quarters

Q: Find the first derivative f' and the original function f. ƒ"(x) = cos(x), s' () = 5. ()=4 f' (Use…

A: Topic- differential equations

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Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when…

A: The given functions are, a) y=14t5b) m=6nc) y=x34-5x2+300 Note:    Multiple parts are given, we are…

Q: solve the differential equation    y √(1+x^1)  dx + x √(1+y^2) dy=0

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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

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Q: 8. Analyze the graphs of f', then list all intervals where f is increasing or decreasing. f'(x), 1-…

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Q: 3 X The double integral ³ x dydx has a rectangular region. Select one: True False

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Q: Express the complex number -2i in the form R(cos(0) + i sin (0)) = Re where R> 0 and 0 ≤ 0 ≤ 2T.…

A: Express the complex number

Q: Calculate the integral, assuming that fo f(x) dx = -4, f f(x) dx = 4, f f(x) dx = 7. (Use symbolic…

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Q: 5 [³ (Use symbolic notation and fractions where neede Calculate the integral, assuming that f(x)dx=

A: topic:- integration

Q: Determine the indicated characteristics and graph each function. y = x²(x-1)(2x+3)(x - 5)³ Zeros: 2.…

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Q: ii) Find the exact area of the surface obtained by rotating the curve 1 12x 3 y = x³ + 9 1 ≤ x ≤ 2,

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Q: i) Find the general term (an) of the sequence 3e-¹, 10e-2,29e-3, 66e-4, 127e-5,218e-6, ii) Calculate…

A: solution is given below

Q: Use the given information in the table below for the indicated critical points and find the local…

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Q: Find f'(x). f(x) = O O O 6x - sin² (5x) f'(x) = O f'(x) = f'(x) = f'(x) = = 6-10sin(5x)cos(5x) 2√6x…

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Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

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Q: with

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Q: Consider the following equation. f(x, y) = y³/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = u =…

A: As we know the expression for the gradient vector. ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y The given…

Q: PROVE each identity. Show your work a) sin(x)sec(x) = tan(x) b) c) 2tan(x) cos(x) sin(y) = cos(x -…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

A: Topic = Functions

Q: Find the shaded region in the graph. 4 3- NO 2 1 X = y=2 y = cos x + 1 π/6 E|M 3 πV3 π: ….. The area…

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Q: Evaluate the following integrals: 1. dx 2. f6²+1²+6 dr 3. (3x - 5)(2x²-x+5)dx 4. Solve the initial…

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Q: sec²(x) √2-3tan (x) dx

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: 2).  Draw the directional field for the differential equation. y' = 1 − y2 − x2

A: Given  y'=1-y2-x2

Q: Which of the below double integrals has the following region? -2 I 1 1 1 1 T -1 4 2 0 -1- Select…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: 3 If f(x, y) = x³ + y² − 1, then the directional - derivative at the point (-1,2) in the direction…

A: A detailed solution is given below.

Q: Suppose you have 1640 meters of fencing available with which to build three adjacent rectangular…

A: answer is in next step . please give a like !!

Q: dc The marginal cost of printing a poster when x posters have been printed is dx c(25) c(1), the…

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Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

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Q: Consider the following. 2x²-3x - 5 lim X→-1 x + 1 Find the limit of the function (if it exists). (If…

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Q: 3. Find the exact value of surface area of the solid that is described by the intersection of the…

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Q: What is the area of the region between the lines y = 6x and y = 3x from x = 1 to x = 5? Select one:…

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Q: If the curve y = 4x², 2 ≤ x ≤ 5, is rotated about the x-axis, what is the integral that represents…

A: We can find the answer as below.

Q: Find an explicit solution of the given initial-value problem. dy 12-13 y(4) = 4 dx

A: The given differential equation is dydx=y2-1x2-1 and y(4)=4We have to find the explicit solution of…

Q: answer #2 using partial fractions

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Q: expand e^2x in powers of (x-1)

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Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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Q: Evaluate F. dr. F(x, y) = 7xi + 6yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2

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Q: Find the indicated limit by using the limits [f(x, y) = g(x, y)] lim (x,y) → (a, b) Enter an exact…

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Q: Use the Chain Rule to find az/as and az/at. (Enter your answer only in terms of s and t.) z = sin(0)…

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Q: 1) Find the sum of the Telescoping series n=1 2 n(n+3)

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Q: A vector v has magnitude |v| = 4 and has direction = 60°. Write in terms of i and j. O a) v =…

A: Vector with magnitude 'r' and direction 'θ' in terms of I and j is given by V=r(icos(θ)+jsin(θ))

Q: 7. Find the greatest integer that divides all numbers of the form 109" +96" - 53″ – 66″ for n ≥ 1.…

A: Disclaimer: Since you have asked the multiple question,we will solve the first question for you. if…

Q: The limit is equal to 1/3/2 Select one: O True O False lim 818 3n² 2n² + 1

A: We can find the Limits .

Q: nd all the critical points of the function f(x)= ={ x² 23 if x<1 if x ≥ 1

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Q: Use differentials to approximate to 3 decimal places ( 1.09 ) 1/3

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