1.) lim 3* x-2 2.) lim (2x+¹ -3) x-2

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: We can solve the differential equation.

Q: Solve the given differential equation by separation of variables. dp = P - p² dt et+c P = _t+c X

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Q: B) Show that V=367 is the volume of a sphere of radius 3 by using spherical coordinates.

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Q: Determine the values of b and c such that the function is continuous on the entire real line. f(x) =…

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Q: A radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium…

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Q: y = x42x³

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: -1/3 4/3 (4) Find t(n) for the function t(n) = 3n +4n (4) (n) =

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Q: Q5) Find dw/dt at the given value foe the following functions 1) w = x² + y², x = cost, y = sint at…

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Q: Define the points P(2,-2) and Q(3, 4). Carry out the following calculation. Find two vectors…

A: Solve the following

Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

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Q: How many years are required for an investment to double in value if it is appreciating at the rate…

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Q: Find r(t) if r'(t) = 4t³ i + 5t+j + √tk and r(1) = i + j. r(t)

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Q: Q6) Test the convergence of the following 3) Σ=1 (n!)" (nn)²

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Q: Find the equation of the plane tangent to the following surface at the given points. x² +…

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Q: Complete each of the following problems showing ALL your work. Answer the following questions…

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Q: x dx 2)√√√27+6x-x²

A: Given, ∫ x27+6x-x2dx

Q: The capacities at which U.S. nuclear power plants are working are shown in table for various years.…

A: The capacities at which U.S. nuclear power plants are working are shown in the table.ft models the…

Q: If, in a monopoly market, the demand function for a product is p = 150 − 0.10x and the revenue…

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: f dx 3sinhx - 5 cosh x

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Show that the following equation [ has a solution on (0, 2). 42-1 = πX 2 5 cos(-

A: The given equation,       4x-1=5cosπx2

Q: 27. The factor = T/2 is multiplied in the evaluation of Wallis formula, where m and n rs of sin and…

A: The factor θ=π2 is multiplied in the evaluation of Wallis formula where m and n are power of sin and…

Q: Distance Between Two Cars A car leaves an intersection traveling east. Its position t sec later is…

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Q: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

Q: Find the length of the following two-dimensional curve. π 3 r(t) = (3 cos ³t, 3 sin ³t), for Osts- 4

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Q: Find the solution of the given initial value problem. ty' + - 2y = sint, y(7) = 5, t > 0 y =

A: For the linear differential equation of the form: the general solution is given by: where

Q: 1 y = x²-1 Using differential, draw the function

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: following

A: We have to find the value of the given condition according to the given information

Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the…

A: The objective is to solve the above question.

Q: Find the integrating factor u(x) and solve the differential equation (integrating as a total…

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Q: First use appropriate properties of logarithms to rewrite f(x), and then find f'(x). f(x) = 2 In…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 1-9 13-9 X x-h 2 3 . sin (lnx²) sinx 2-9 It cosx .dx 4-9 cotx.dx хр

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Q: Find the derivative of each of the following functions using any method. 7.) f(x) = 6cot(sin(4x))…

A: 7. fx=6cotsin4x8. fx=6sec7x29. fx=e6x2-17

Q: y=0 x=y ye dxdy=

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Q: Find the average of two numbers (x1, x2) and print" pass "if the average is more than 50 and "not…

A: Given numbers : x1,x2  Average  of number = (x1+x2)/n                 where n=2

Q: (c) (x + 1)dy = dx Oseparable exact O linear in x O linear in y = -y + 15 homogeneous Bernoulli in x…

A: Differential equations

Q: Find the solution of the given initial value problem. ㅠ ty' + 2y = sint, y (-) - = 5, t > 0 Y ||

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Q: 6y²dx − x(2x³ + y)dy = 0.

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Q: Evaluate the following double integral over the region R by converting it to an iterated integral…

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Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. f(x) = x sin x n = 1 f'(x) n = 2…

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Q: 0 3x - 4x 5× dx

A: We have to solve given Questions.

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: need helping understanding this concept And why each statement is false or QUESTION 1 Check all…

A: We have to consider the given statements are true or false according to the given information

Q: Find for THREE of the following functions: dx *²)+In/cos(x)). 5 2(cos(x)))

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Q: * Parallel lines have the slope (m1x m2 )= -1 true O False

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Q: Q4) find the soluation of differention equation using exact equation 2) 2xy' = 10 x³y5+ y

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Q: 3) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

Q: State the order of the given ordinary differential equation. ty(6)t5y" + 5y = 0

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Q: 16 f(x) = x² + x>0 " X (a) Find the relative extreme point (s) of f; (b) Find the point (s) of…

A: As per our guidelines we are supposed to solve only three sub parts of the problem. For the first…