Find the limit. 41) lim X-8 (√7x² +10-√√7x²-3)

Q: Suppose that lim f(x) = 9 and lim g(x) = -5. Find the following limits. X-4 X-4 a. lim [f(x)g(x)]…

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Q: Find the complete solution: (x-y-1)dx + (4y + x − 1)dy = 0

A: The given equation is; (x-y-1)dx+(4y+x-1)dy=0.

Q: U = {x: x is first ten positive integers} A = (1, 2, 5, 6, 9, 10} B = (2, 4, 6, 8, 10} C=(3, 4, 7,…

A: Given: U=x: x is first ten positive integersA=1, 2, 5, 6, 9, 10B=2, 4, 6, 8, 10C=3, 4, 7, 8To Find:…

Q: Let F(x) = f(g(x)), , where f(-7)=2, f'(-7) = 3, f'(3) = 10, g(3) = −7, and g'(3) = -9, find F'(3) =

A: Given, F(x)=f(g(x)),

Q: nd the equation of the line L that passes throught point P( – 4, 8, 0) and Q( – 3, 5, — 8). = + t

A: We will find the required  vector equation  Of line.

Q: Find the domain of the functions below. f(x) = √x + √5 − x h(x) = (x − 4)−1/4 Enter your answers…

A: Formula: Domain of a square root function: f(x)= √y  can be find by y≥0

Q: ¹ƒ ƒ(x) + x³ [ƒ(x)]³ = 2052 and f(2)= 4, find f'(2) =

A: Given f(x)+x5f(x)3=2052

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Q: Find the (perpendicular) distance from the line given by the parametric equations x(t) 2 - 7t y(t) -…

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Q: If 6x²y + xy² = 7x, find y' by implicit differentiation. y' =

A: Solution is done in step 2

Q: Formulate the LP problem, which includes the objective function and the constraints. Then solve. Use…

A: Given data Hours Table Chair optimality Carpentry time  4 3 240 Painting time 2 1 100…

Q: (Technology Permitted) The population P of wild turkeys in a sanctuary is given by P(t)=e¹+² 5+1500,…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: - 1 Find y' for y=7x7 + 9x¯ y' =

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Q: The median home price in the United States over the period January 2010-January 2015 can be…

A: Topic- Application of derivatives we are given P(t)=4.5t2-15t+180 where P(t) represents median home…

Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis V = y 3…

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Q: Find the speed at the given value of t: r(t) = (et-5, 12,5t-¹), t = 5 v(5) =

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Q: A tinsmith wishes to make a gutter of maximum cross- section (carrying capacity) whose bottom and…

A: Given Width of side = 6 inch Width of bottom = 6 inch

Q: 1. Para la serie de potencias E-01 determina (x+4)" n=0 115 a. El centro b. El radio de convergencia…

A: See this solution in below.

Q: If x²y³ - 9x sin(y) = 14, find y' by implicit differentiation. y' =

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Q: Find the distance from P(5,-3,6) to the z-axis.

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Q: Question If f(x) = f ³ dt, find f'(x). 73

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Q: Find the speed: r(t) = (cosh(t), cosh(t), 4t) at t = 3. sqrr((2 sinh(2)2)+16) v(3) = =

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Q: Find the equation of the tangent line at x = 7 for f(x) = 6 - x². Write the answer in the form y =…

A: See this solution in below.

Q: Find the distance (d) between the planes − 3x – 2z = - 6 and 3x - 2z = 1.

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Q: Up to scaling, the graphs of logarithmic functions are identical. True False

A: The logarithmic functions are given by: f(x)=log10x, f(x)=log2x, f(x)=ln x=logex

Q: Consider the following. f(x) = (x (x² + 4x + 4)(x-4) (a) Find the derivative of the function, and…

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Q: Find a plane containing the point (6, 8, – 8) and the line r(t) = ( − 2, 6, 7) + t - 5, 3, − 3).

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Q: rizontal. How far away from its starting position does the project

A: Topic:- function and calculus

Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 4. 5. 6. x² + 5x³+6x² lim x+ 2 x²(x + 1) − 4(x + 1) lim…

A: We have to graph the function and evaluate the limit.

Q: car is parked 55 feet from a long warehouse (see figure). The revolving light on top of the car…

A: Solution: Given A car is parked 55 feet from a long warehouse. The revolving light on the top of the…

Q: 1 5-Prove that cos (tan-¹ x) = √7X²' 1+x² -∞0 < x < ∞

A: The proof of the given inverse trigonometry problem is as follow.

Q: please solve using classical method and find its particular solution and homogenous sol. And try to…

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Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

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Q: If x²y³ - 9x sin(y) = 14, find y' by implicit differentiation. y' =

A: We can find the answer as below.

Q: Solve the initial value problem y¹6 = 0. y' = 1 + x x y15 (y(1) = 5 x > 0

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Q: Find the general solution of the differential equation Write your solution in the form F(x, y) = C,…

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Q: 2.   Evaluate the integral. 7   5 dx (x − 6)2   please show step by step clealry.

A: Topic = Integration

Q: Q3. For the following matrices find x, y, z, and w, then check your solution. (2x + 5y)] 5y)] 2 6…

A: Need to find out the value of x, y, z, w.

Q: For f(x) = 10/x and g(x) = 10/x, find the following function (gof)(2)

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Q: which answer exactly would i enter in the bo

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Q: a) Assume that the function is linear. I. II. III. Complete the rest of the table x 1 2 3 4 f(x) 3 6…

A: We can solve this as follows:

Q: Find the length of the curve (t) = est cos(t), y(t) =e5t sin(t) for 0 < t < 2. Give an exact answer,…

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Q: At what points is the following function continuous? f(x) = x-3x-4 X-4 5, 1 x #4 x = 4 The function…

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). 8 - f(x) = 3 + X

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Q: Let f(t)=3t^2+10t. Estimate the following to within two decimal places by using small enough…

A: Let f(t)=3t^2+10t. Estimate the following to within two decimal places by using small enough…

Q: -1 Let f(x) = 8x³ – 15x² − 4, x ≥ 1.5. Find the value of at the point x = 2005 = f(7). df dx

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Q: Tutorial Exercise Find the open interval(s) on which the curve given by the vector-valued function…

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Q: Must solve the entire question1.Both subparts. Don't solve partially. Question1. a) Write the…

A: Given   1. For line 1 - Passing through point P-2, -3 and have x-intercept equal to -1. 2. For line…

Q: The graph of f(x) is shown below. Which of the following statements are true? 8 7 60 5 4 3 2 1 M -8…

A: Ax x=6, limx→6-f(x)=limx→6+f(x)=f(6)