Problem 3.3 Find the equation of the tangent line and normal line to the curve at the given point. 2x (1,1) x+1' y =

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Q: Choose the expression that completes the following equation so that it is an identity. tanx+cotr = O…

A: Given,  tan(x)+cot(x)=sin(x)cos(x)+cos(x)sin(x)                        =sin2(x)+cos2(x)cos(x).sin(x)…

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A: The objective is to find the polar coordinate.

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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: Find the composite functions (f g) and (gf). What is the domain of each f(x) = 2/ g(x)=x²-49…

A: We can answer the question as below by filling up the blanks.

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the…

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Q: Evaluate the definite integral. 2 St³√₁+t² dt 0

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Q: Find the general solution to the differential equation. y' = eyx2 y =

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Q: Find the general solution to the differential equation. x2y' = (x + 5)y y =   PLEASE SHOW STEP BY…

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Q: (в Consider the integral f sin ¹x dx. If we let u = sin ¹x and dv=dx, the integral can be written as…

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Q: i) Find the exact length of the curve 1 15 4x3 y y = ii) Find the exact area of the surface obtained…

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Q: Find the solution of the initial value problem y" + 2y' + 5y = 8e¯t cos(2t), y(0) = 10, y'(0) = 0.…

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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: Solve dN dt = (1¹ 1+ cos(2nt) N where t ≤0 and N(0) = No.

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Q: A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t) be the number of…

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Q: Consider the following function and its graph. f(x): X x² + x (b) Use the graph to determine the…

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Q: Expand f(x) = √3+x as a binomial series. 2 / 3 (¹ + $ 1 E 0 + (¹ + 5, (1 1 O O₁+ (-1)1-3. 5 . n=1…

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Q: Solve the equation given. Enter all solutions, in degrees, that lie in the interval [0°, 360°). Do…

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Q: Question 2 ( ) Draw the enclosed region by the curves y = √1- x, y = 0 and x = -3.

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Q: i) Find the exact length of the curve 1 + 15 4x3 y = y = ii) Find the exact area of the surface…

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Q: Based on the graphs of f(x) and g(x), in which interval(s) are both functions increasing?…

A: Domain of g(x) can be broken into following intervals: (-inf,-3), (-3,-1) and (-1,inf) In each…

Q: a) Sketch the region of integration and evaluate the double integral 8 [[_ 0 -6 -2 y + xy² dx dy b)…

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Q: 7) .  Use separation of variables to find the general solution. (Use C for the constant of…

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

Q: (f) If F(x, y) = 5y sin(xy)i + 5x sin(xy)j, f(x, y) =

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

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Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim Write a…

A: topic - limits

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: We have to find the directional derivative.

Q: Solve the initial value problem. ds dt = 20t(5t² − 3)³, s(1) = 7 - The solution is s=

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Q: on for this differential equation problem:   The part of the normal to a curve, at any point (x,y)…

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

Q: Evaluate the two integrals given the graph. The two parts of the graph are semicircles. [₁50x 1°…

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Q: Use three terms of the expansion for √1 + x to calculate the value of √1.1018.

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Q: Find the linear approximation L(x) of the function g(x) (1+x)1/3 at a = 0. Then use L(x) to…

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Q: Find the average rate of change of the function f(x)=8-3x between x = -4 and x = 1. Type an exact…

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Q: Find polar coordinates of the points such that. r0 and 0 ≤AL 24 4

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Q: Find the total area of the shaded region. Ay 2 y = 3 y = 3 sin ² x X The total area of the shaded…

A: The area between the curves y=3sin2x and y=3 on interval π2, 3π2

Q: Find an equation for the graph sketched below -5 -4 -3 -2 -1 f(x) = 8 6 5 3 2 1 -1 -2 -3 -4 -5 -6…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Solve the triangle a = 6₁ c = 5, B = 54 b = S لان A=

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Q: 5. Answers (in progress) In problems below, (a) identify the independent variable (use 't' for the…

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Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

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Q: Find f'(x). f(x) = (7x + 3) (1 - √x) ○ f'(x) = 7(7x+3)6 O f'(x) = 49(7x+3)6 (1 - √x)6- O f'(x) = 1…

A: This question is related to differentiation, We will solve it using given information.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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