Rationalize the denominator and simpify: 4+3√x 8+√√x

Q: Let f(x, y) = 2x + 2y, r(t) = (t³,t²). Use the Chain Rule to calculate f (r(t)) at the value t = -2.…

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Q: A 4-pen kennel of 1,000 square feet is to be constructed as shown. The cost is $20 per foot for the…

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Q: Problem #7: A large tank contains 50 litres of water in which 18 grams of salt is dissolved. Brine…

A: NOTE: Refresh your page if you can't see any equations. . x=amount of salt at time t…

Q: (x)=4(10x7−9x4)14   find derevative

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Q: I just need help with Question D, please! Thank you!

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Q: Find f'(x). f(x) = 6x² - 4 ex f'(x) = (Type an exact answer in terms of e.)

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

Q: Find the length and width of a rectangle that has perimeter 40 meters and a maximum area. Select…

A: Option (e) is correct.

Q: Given f(x, y, z) = √√−4x − 5y – 2z, find fx (x, y, z) = fy(x, y, z) = fz(x, y, z) = = -1 - 4x - 5y -…

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Q: 2. a) Determine the coordinates of all point(s) on the graph of y = 2x lnx where the tangent line is…

A: Part_a_ Determine the coordinates of all point(s) on the graph of y=2xlnx where the tangent line is…

Q: 1. Find the directional derivative of f(x, y, z) = x² + 2y² -32² at the point Po(2,-1,1) in the…

A: As per the company rules, we are supposed to answer only first question and rest can be reposted.

Q: The graph of fis shown below. For which value of x is f'(x) minimum? -8 -6 Select one: O a. O b. x =…

A: The given data is: Graph f is shown below.    For which value of x is f'x minimum?

Q: pharmacist wants you to record all weights using the metric system. Rounding to the nearest whole…

A: Given query is to convert the lbs to Kilograms.

Q: What is the rate of change of the area of a circle (A=zr²) with respect to the radius when the…

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Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: Find for the function y = 29*. dy dx

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Q: Given: 1. y = q cos2x+c₂ sin 2x

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Q: Given f'(x)=x²-x 2 and its graph, use the graph to determine the following. f'(x) 10 X = 2' -4 -3 -2…

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Q: Find the limit lim x →∞ (2 + 10x / 3 - 10x) *Please use handwriting not type script, i understand…

A: Topic:-  derivatives and calculus

Q: 5. A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

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Q: Use the indicated x-values on the graph of y = f(x) to find the following. m 9 с fgh X Find…

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Q: Evaluate the expression under the given conditions. 5 13 cos(p); cos(0) 5+5√ 15 26 = 0 in Quadrant…

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Q: At what nominal rate compounded continuously must money be invested to triple in 2 years? A rate of…

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Q: (a) Determine if the lines are distinct parallel lines, skew, or the same line. r₁ (t) = (4t+3, -4t…

A: Note:- These are multiple questions and according to guideline we can do maximum 1 question so i  am…

Q: Find the solution of the differential equation y" + 10y' + 25y = 0 satisfying the initial conditions…

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Q: Find the solution of the constant coefficient differential equation y" - 10y' +29y = 0 satisfying…

A: The given differential equation is: y''-y'+29y=0 The given initial condition is y0=-3 and y'0=-5 To…

Q: QUESTION 2 One leg of a right triangle is 4 yd longer than the other leg. How long should the…

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function…

A: The given graph is:

Q: Determine whether Rolle's theorem can be applied to f on the closed interval [a, b]. (Select all…

A: See this solution in below.

Q: f(1) = ³ f). f(t)-4 f(-4 There is no correct answer from the given choices.

A: Topic: calculus      Note:- as per our guideline if more than one question uploaded than only one…

Q: 1. =-4tdt, when t=0, r=r₁ dr 1. r = roe-2t²

A: According to rules I need to solve first question... Please repost remaining questions

Q: The monthly demand function for a product sold by a monopoly is p = 1,792 -² dollars, and the…

A: NOTE: Refresh your page if you can't see any equations. . the demand function and average cost…

Q: Sketch a graph of the function f(x)= 3x - 6sinx over the interval 0≤x≤2π.

A: f(x)=3x-6 Sinx

Q: Find the inverse transform of the given function of s. f(t). 5 B f(t)- 2³ = © f(t) = -5/4 D f(t)=14…

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

A: Topic:- application of integration

Q: Find f. f'(t) = sec(t)(sec(t) + tan(t)), f(t) = - 1/2 <²<= // ¹ ( ² ) = -3

A: Given that, f't=sectsect+tant, -π2&lt;t&lt;π2, fπ4=-3 We have to find the function ft

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

A: See this solution in the below.

Q: Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one…

A: cos3π7cos2π21+sin3π7sin2π21

Q: Given y In(cos(x)|), find = dy dx at x = 5T 6

A: Topic- derivative of a function We are given, y=ln(|cos x|) ,x=5π6we know…

Q: Question 8 B 15 3 2 I The table above gives values of the differentiable functions f and g and their…

A: Given problem:- x f(x)  f'(x)  g(x)  g'(x)  0 4 1/2 -2 3/2

Q: If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

A: Area of circle, A=πr2 where r is the radius

Q: A radioactive substance has a half-life of 1620 years. (A) If its mass is now 6.8 grams, how much…

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Q: = √x + 2,-2 ≤ x ≤2 ax²-bx, x+1 x-2 ) 2 3

A: Topic:- calculus

Q: Find the volume in the first octant between the planes z=0 and z=x+y+2, and inside the cylinder…

A: To find the volume of the given solid.

Q: ind the area of the region pictured below that is bounded by the functions v(y) = 2y — 6, u(y) = −2y…

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Q: If a population is now 7.6 billion people and it continues to grow at an annual rate of 1.4%…

A: Topic- Exponential function Current population=7.6 billion=7.6×109annual rate of growth compounded…

Q: The expenditure of a household on consumer goods, C, is related to the household's income, Y, in the…

A: We need to find linear relation.

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 5-x², 0≤x≤…

A: Topic:- application of integration

Q: A company introduces a new product for which the number of units sold S is given by the equation…

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Q: Letr = (e141-11, e9-9¹, (t + 1)−6). Compute the derivative. (Use symbolic notation and fractions…

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Q: For the function, find all critical numbers and then use the second-derivative test to determine…

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