1.7-2 In the mean-value theorem for derivatives, Theorem 1.6, let f(x) = x?. Find the point & specified by the theorem and verify that this point lies in the interval (a,b).

Q: Let f and g be continuous functions on [a, b], and suppose that f(a) g(b). Prove that f(c) = alc) f...

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Q: 3. y =i x = -3 х+2

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Q: Without a graphing utility, sketch a rough graph of the following rational function. Take a look at ...

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Q: f(2) = z7

A: f(z) = 12ln(x2+y2) + i tan-1yxHere u = 12ln(x2+y2),    v= tan-1yxux = 2x2(x2+ y2) = xx2+y2,   uy = y...

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Q: (x) (x1) -2x +4

A: Evaluation of the integral by using Partial fraction decomposition

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A: We know, 100 centimeters = 1 meter. So, 1280 centimeters = 1100×1280 meters. i.e. 12.8 meters.  

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A: Given are three types of vaccine information which is obtained after surveying 400 people. First we ...

Q: 5. the sum of two consecutive integers is 21. Find the numbers

A: Given:the sum of two consecutive integers is 21

Q: can explain for me what is Applications of Partial Derivative ?

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Q: Find the linearization of the function at the given point. f(x y, z) = e5x - 3y - 6z at (0, 0, 0) Lü...

A: Linear approximation in three Variables

Q: A radio commercial for a loan company states: "You only pay 25¢ a day for each $500 borrowed." If yo...

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Q: degree sequence * no of vertex * chromatic number Biapartite graph

A: This is a problem of Graph theory.

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

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Q: 9. (a) Let f : [a, b] → R be continuous and suppose that f(x) > 0 for all x. Show that there is some...

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Q: (B1>0 (g) If a > b and c> d, then a + c > b + d. h) If a > b> 0 and c > d > 0, then ac > bd. i) If a...

A: For (f) ,We use a theorem that "if n∈ℤ and n≠0 then n2>0.

Q: Suppose f : R → R is a continuous function with the property that f(x) = 0 for every x E Q. Prove th...

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Q: 1. (а) Find the Taylor series of ln(x) about a for a > 0. Your answer should be in sigma notation. Y...

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Q: find two addi n<0<2n. 4,- |

A: In this question, the concept of the Polar Coordinate System is applied. Polar Coordinate System A p...

Q: Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the...

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Q: 7. Let V be a vector space and e: V →R be a linear map. If z E V is not in the nullspace of €, show ...

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: (-1)"...

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Q: Fired Show that Coshz <Coshx Cosy +i sinhx Siny

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Q: Find the direction angles of the vector. (Round your answers to one decimal place.) u = (4, -6, -8) ...

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Q: 1 [4]y= Cq cos 2x+C2 sin 2x+ (1– xsin 2x) 2

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Q: 2. Express as a single power series form: (n – 2)an+1(2x - 3)n+1 + ) an-1(2x – 3)"-1 n=0 n=2

A: We have to express the given series as a single power series form.

Q: Exercise 2 Use spherical coordinates to evaluate f[[(9-x² - y³ ) dV , where E is the solid hemispher...

A: Introduction: When we perform a triple integral over a spherical region, it is convenient to follow ...

Q: 6. Prove that the matrix A = -1 2 is diagonalizable, and find the corresponding diagonal matrix D an...

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Q: 1 0V 1- x 0 -1 0 1 A = 2 2x 1 0 0 1 Find the values of x € C such that the matrix M is invertible. W...

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Q: Annie's cafe borrows $7,800 at 5% for 260 days. Find the total amount that must be repaid after 260 ...

A: Introduction: Simple interest is a type of interest that is imposed when an amount is borrowed from ...

Q: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x) = ...

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Q: How many continuous functions f are there which satisfy (f(x))² = x² for all x?

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Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the fir...

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Q: Evaluate: (i) | 4x +3/2x +1 dx 4x +3 (ii) | V2x +1 dx

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Q: 1. Suppose that D is the region bounded by the paraboloid r = y? +z? and the plane I+ 42 = 4. Set up...

A: Solution is below.

Q: evaluate the given double integral. ca/2 9. xy cos(a?y)dxdy

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Q: Sharon was to board a flight at 08:45 hours .Her flight was to take 5 hours 30 minutes to reach the ...

A: The flight is at 8:45 am  there is a delay of 50 minutes, therefore, the new flight time is 9:35 am ...

Q: Find the solution to each of these recurrence relations with the given initial conditions. Use an it...

A: (e) Given,                 an=(n+1)an-1, a0=2                      ...(1)

Q: (c) y' + 18y" + 81y' = 0. (d) y" + 16y = 0.

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Q: Solve the problem. Find the derivative of the function f(x y) = x² + xy + y² at the point (6, 7) in ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: On what quadrant you can see the quotient of -5+2i 2-2i O 3rd O 1st O 2nd O 4th

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Q: FIND THE UNTQUE SOLUTION OF AU= O 34/x1<4 on SUCH THAT U(x)= 5 on xl = 3, U(x)=6 on /x/-4 2 in R 1.....

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Q: 16 Consider the equation of the second degree in x : 4x - 6r -1 =0. P Without calculating the discri...

A: q-16 consider the equation 4x2-6x-1=0 1) without calculating the discriminant, prove that it admits ...

Q: State why the system of equations must have at least one solution. (Select all that apply.) 2x + 5y ...

A: We have to find the reasons of having at least one solution of the given system.

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: We have to find the volume of the tetrahedron whose vertices are given.

Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D...

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Q: Solve the following using De Moivre's theorem, pascal triangle and binomial expansion. Show all your...

A: To solve the following by using De Moivre's theorem, pascal triangle, and the binomial expansion. a....