Use the intermediate value theorem to show that there is a root of the given equation in the specificed interval a) ∛x = 1 - x, (0,1)  b) sin x = x2 - x, (1,2)

Q: The solution of the differential equation y' = ² - al 2 + 1 is:

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Q: A dairy is planning to introduce and promote a new line of organic ice cream. After test marketing…

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Q: f(4+h)-f(4) h (Express numbers in exact form. Use symbolic notation and fractions where needed.) Let…

A: The function is given by fx = 1x Formula used to find the limit is f'4 = limh→0f4+h-f4h To evaluate:…

Q: y = x²y + 1

A: To differentiate the given function.

Q: Find the parametric equations of the line through (1,−3, 4) that is parallel to the line x = 3 + 4t,…

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Q: find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given curve xy=4.

Q: 1. f(x) = 4x² -5x

A: Topic = Derivative

Q: Use any of these formula (an = 1/2 (a₁ + an) or an = /[2a₁ + (n − 1)d] to solve for the sum of the…

A: Given :an=n2a1+an an=n22a1+n-1d use Sn for sum1. Sum of first even counting numbers :2, 4, 6, 8.....…

Q: Evaluate the limits. (You may not use L’Hopital’s Rule). limx→infinity tan^−1 (ln(1/x^2 + 2e^-x))

A: Evaluate the limits.limx→∞tan-1ln1x2+2e-x

Q: Explain why 3% compounded continuously is better than 3% compounded monthly. O The continuously…

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Q: Find the intersection of the plane - 6x + 6y + 2z = 80 and the line 7'(t) = (8, 6, 5)t + ( − 7, 4,…

A: Topic- point of intersection of plane and line we are given equation of plane :-6x+6y+2z=80 equation…

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√√x +

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Q: The function f' defined by the formula f(x + h) − f (x) h f'(x) = lim h→0 s called the derivative of…

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: The functiony (A) True B) False 0+2 2 is a solution ofy'=xy

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Q: Find the average cost function if cost and revenue are given by C(x) = 151 +5.3x and R(x) = 4x…

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Q: 1. y' = e²x-y

A: Given y'=e2x-y

Q: Consider the quadratic equation (2x-7)(x-6) = 18. When written in standard form, which of the…

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Q: 4 x - 2 f(x) = ax² - bx+3 2x = a + b x if x < 2 if 2 < x < 3 if x ≥ 3

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Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 7000-5p² E(p)…

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Q: A function is given. f(x) = x³5x²; x = 0, x = 10 (a) Determine the net change between the given…

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Q: variable

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Q: The solution of the differential equation (e* + 1)ydy = (y + 1)e* dxis :

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Q: 3. f(x) = -2 x+1

A: 3). The given function is: fx=-2x+1 And the expression for the derivative is: f'x=lim∆x→0fx+∆x-fx∆x…

Q: 4. The function f(x)=x²-x² - 2x + 1 has three zeros on the real line. For each of these zeros, find…

A: We have to locate all 3 real roots of f(x) = x3-x2-2x+1 on the real axis. Given f(x) is continuous…

Q: Let f(x,y)=√√9-x²-3y² State the domain off and sketch it in the x-y plane. The domain must be…

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Q: x - sin ((x − 3)²) x² + 1 is defined near x = 3 but not at x = 3 and satisfies 2. Let f(x) = "" let…

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Q: A manufacturer of small appliances purchases plastic handles for coffeepots from an outside vendor.…

A: Given that , E=0.08 Confidence interval = 95% handles = ?

Q: Confirm that the integral test is applicable and use it to determine whether the series converges.…

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Q: x³-4x-10=0 1 Use your calculator to determine the next five estimates using x₁ = 4 as the initial…

A: Given :

Q: 16. The displacement, in feet, of an object is given by by s(t) = -2t² + 4 where t is measured in…

A: The displacement (in feet) is given by the function: s(t)=-2t2+4, where t is in seconds.

Q: Refer to the graph of y=1(x) SHOW of the night. Find the absolute minimum and the absolute maximum…

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Q: 6. Evaluate the given limit algebraically, if it exists. 5+3x²+4x² lim *+-= x²-x² +12 In the answer…

A: The objective is to evaluate the limit.

Q: For the graph of y=f(x) shown to the right, find the absolute minimum and the absolute maximum over…

A: Topic- absolute minimum and absolute maximum points. the absolute maximum is the maximum value of…

Q: F(x,y) = 5 x+y sin²x 4 x +y 0 2 if (x,y)=(0,0) , , if (x,y)=(0,0)

A: Please see the below picture for detailed solution.

Q: The solution of the differential equation y': || x 1 + 1 is:

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Q: Determine the degree of the differential equation: 3/2 d²y 2/3 (3x² 1²7 2 + 4xy) ¹² = ( 2y³ (²Y -…

A: The degree of the differential equation is defined as the power to which the highest order…

Q: Use sigma notation function. Σ write the laylor series about 1 2+5 for the

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Q: For a differential equation of the form: =f(x, y), the dependent variable is y and the independent…

A: We know that differentiable equation of the form dydx=f(x,y) , the dependent variable is y, and…

Q: function is given h(t) = 2t2 − t;   t = 3, t = 7 Determine the net change between the given values…

A: Given query is to find net change and average rate of change.

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: The solution is given below

Q: - For the function, find and simplify f(x + h) – f(x). (Assume h ± 0.) h f(x) = 5x² − 2x + 1 f(x…

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Q: evaluate the integral

A: Answer and explanation is given below..

Q: 2. (5 points) Consider the transformation T: R² → R³ defined by T [2] = X 2x - Y 3x+4y (i) Show that…

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Q: √9x + 1 3x - dx

A: Given :∫9x+133

Q: 1. 2. 3. 1. واد تراس || * t X 1 = - مام (1

A: Topic:- algebra

Q: a. y = (x2 - x−1)2

A: Topic = Derivative

Q: $ 3 months $

A: We will find the required.

Q: Find the profit function if cost and revenue are given by C(x)=173 +1.5x and R(x) = 7x-0.02x². The…

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Q: K x²-1 Let f(x)= |x-1 (a) Make tables of the values of f at values of x that approach x= -1 from…

A: Please see the below picture for detailed solution.

Q: Question 9 Interpret r(t) = (3 e' cos(t))i + (3 e sin(t))j + (3 e) k as the position of a moving…

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