V. SA/9623/2-4,1¹/2 dx

Q: OV 7 The graph of a linear equation, y = f(x) is shown above. Find the interval where f(x) < 1.…

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Q: 10) A semicircle of radius 2r is inscribed in a rectangle so that the diameter of the semicircle is…

A: The length of the rectangle is l = 22r = 4r The width of the rectangle is w = 2r Formula Used: The…

Q: Find the derivative of the function. q' = 3/ 7 q=√x + 3x

A: Solution

Q: Find y' for y= [1 + *(¹ + ³) ³. 3 3 X y' =

A: We need to find second derivative.

Q: x² - 10x x-0 9x²-x (d) lim

A: Given query is to find the limit of the expression.

Q: 5. Show the equation sin² x + 2x = 3 3 has exactly one solution. has exactly

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Q: 12. Discuss the continuity of the function g(x) x²-4 on the interval [-1,2].

A: Given gx=1x2-4 interval x∈-1, 2

Q: 2 = (¹1);^ _'¹1 = (¹) ^ [1 − ₂*x + ²) + × ¹) = (x) ^

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Q: 0 A population of bacteria follows the continuous exponential growth model P(t) = Po e kt, where t…

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Q: Evaluate dv = dx). [tan=¹(a)dr. (Hint. Use integration by parts let u = tan ¹(x) and

A: We have to evaluate the integral.

Q: Given f(x, y, z) = xyz, find fyxy

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Q: Find the derivative of the function using the definition of derivative. F'(v) = F(v) = V V + 3 3…

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Q: 21-22 (a) What are the domain and range of f? (b) What is the x-intercept of the graph of f? (c)…

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Q: Differentiate y = sec ß-tan B A. 4sec³Btanß-4tan³ ßsec²ß B. 4secßtanß (Bsec²ß+tan²B C. 4sec² Btanß…

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Q: Determine the acute angle, in degree measurement, between the planes 2x+2y-1z = -3 and 5x+3y + 2z =…

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Q: 5. Determine the domain ONLY of g(x) = 4-x /4-x

A: The given function is g(x)=4-x4-x We have to find the domain of a the function . Domain of a…

Q: The function f(t) gives the height of a ball, in feet, t seconds after propelling it upwards into…

A: Height of a ball after "t"  seconds of throwing upwards in the air is given by the function…

Q: 12-14 Simplify the expression. 12. tan(sin ¹x) 13. sin(tan ¹x) 14. sin(2 arccos x)

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Q: Complete the table and predict the limit, if it exists. (Round your answers to three decimal places.…

A: Let's find limit is exit or not.

Q: 3. Determine the domain and range of h(x) = √√4 – x

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Q: 2. Let L be the line passing through points (-2,-5) and (3,4). Find the general equation of the line…

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Q: Find the following limits: 1 1 5+x 5 x a. lim: x-0 b. x²+1 lim x-1- |x-1| C. -2x lim x +∞ √9x²-3

A: See this solution in below.

Q: 4. Determine the domain ONLY of f(x) = 4-x x²_9

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Q: f(x)=5sin(2x) - 2x² - 4x Find the maximum or the minimum of the function using newton's method of…

A: Newton's method of optimization is the general method for finding the minima or maxima of the given…

Q: 50. y” – 4y = sinh 2x variation of parameters

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Q: Use the step-by-step or Euler method to solve numerically each of the following. (b) dy/dx = x+v,…

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Q: A firm produces a good from two raw materials X and Y which can be bought at unit prices of pX and…

A: We need to find x and y.

Q: At the beginning of the year 1995, the population of Townsville was 3312. By the beginning of the…

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Q: Differentiate the function. y = (5x-4) (3-x3) 3 dy dx

A: Given :                    y=(5x-4)³(3-x³)³ Here, it is in the form of product of two functions.…

Q: Suppose the density of a wire is given by p(z) = 0.6 +0.09 sin(27) kg/m, where is the distance from…

A: NOTE: Refresh your page if you can't see any equations. . the given density function is the length…

Q: x² - 10x (c) lim 9x²-x 2

A: L’Hospital’s Rule Formula L’hospital’s rule states that Note: The limit of the quotient of function…

Q: Differentiate the following function. f(x) = x5 e5x f'(x) =

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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: see below the answer and explanation

Q: A car wash firm calculates that its daily production (in number of cars washed) depends on the…

A: The question is different . Here , differentiate w.r.t to n

Q: Evaluate the integral. 6 t² sin(2t) dt

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Q: A r= 5,0 = = radians 3

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Q: Let f(x)= -6 cos x + 6 tan x Find ‘(x) Find ‘(π/3) My results were the following: f’(x)=…

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Q: Find fogo h. Chec fogoh = f(x) = 9x - 2 g(x) = sin x h(x) = x²

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

Q: Using direct integration, evaluate the following convolution: e-atu(t) * u(t)

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Q: f(x)=2x-1 9X+1

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Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: Solve the given initial value problems. y'' - 4y' + 4y = 0, y(1) = 1, y'(1) = 1

A: To find out the solution of the differential equation.

Q: 3. A flag is raised vertically from a pole at a constant rate of 0.5 m/s. A point B on the ground is…

A: see below the answer and calculation

Q: 73. lim sin 3t t⇒0 2t

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Q: The adul dicts that the adult population of the town will increase by 4% each year, ming a geometric…

A: At the end of one year population = 20000 increased by 4%  a. Population at the end of 2nd year

Q: 2. Determine the domain and range of g(x) = (x + 2)² 2

A: Domain of a function y=f(x) is the set of values of x for which y is defined. Range of a function…

Q: Match the equation with its graph. x² + 4y² + 9z² = 1 XA x Z N ZA

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Q: Minimize the function M=3x² + 3y² subject to 2x+y=64 and find the values of x and y at which M is…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(−2, 1, 0), Q(4, 2, 4),…

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Q: cm 10 cm

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