the solution to 1/2(x+1/2)1/2x=3/4 isin which of the following intervals.  a) (0,1/3) b) (1/3,2/3) c) (2/3,1) d) (1, 4/3) e) (4/3,5/3)

Q: Find a point c satisfying the conclusion of the MVT for the func y(x) = 2e* on the interval [0, 5].…

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Q: 4. [5] Please find in interval notation the values of x for which this expression is real. Show…

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Q: find the interval of convergence.

A: Apply ratio test and check weather series is convergent or divergent.

Q: Show that there is a solution to the following equation in the interval (2,3). (Hint: Use the…

A: Since there are two questions posted, we will answer the first question (1). If you want the second…

Q: 5. Use the Intermediate Value Theorem (IVT) to show that the equation below has a root in the…

A: Given that, The function is, f(x) = 2x3 + x2 + x + 3 = 0 interval is = (-2, 0) We have to prove by…

Q: Find the interval of convergence for 2 (k + 5) 2* а) O[-3, 3] b) O[-1, 1] c) O (-2,2] d) O[-2, 2) e)…

A:

Q: 4. Find the interval of convergence E (2x+3)"

A: Here we have to find the interval of convergence ,  ∑n=0∞(2x+3)n

Q: If n = 18, then the interval of the form (- t(n-1), alpha/2 , t(n-1), alpha/2), that contains 99% of…

A: From the given information, number of observations n = 18. Confidence level  Level of significance

Q: D if x,Y,2 inclepndent Variables and z function in X, Y which achieves the eguation find az…

A:

Q: On which of the following intervals is fx)=x*-100x2+x-10 concave up? OA (-inf,-5) O B. (-inf,-4)…

A: We will use second derivative test to check concavity

Q: (-1)"n" sin" (4) 2n n=1 CS Samed with Camacarner

A:

Q: Suppose the interval [1,9] is divided inton subintervals of equal width, and C represents the left…

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Q: if the Positive root aso: ax²+x-1=0 it is calculated using the recurring formula X₁+1 = 1 = a (x₁)²…

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Q: 2. Consider a ball thrown in the air (f) defined by the formula f(x) = (3 + x)^2 whose domain is the…

A:

Q: 8. On which of the following intervals is (x – 1) (x + 4)(x +2) < 0? A {x|-4 < x <-2} B {xl-4,<x<–2}…

A: Given that: (x-1)2(x+4)(x+2)&lt;0

Q: 3.4.2 Assume that Y, the number of minutes it takes you to eat lunch on an average day, is equally…

A: We can assume that Y~ Uni(a, b) where a=30 and b=40   We know that f(y)=1b-a        for a&lt;x&lt;b

Q: find the interval of existence in which the particular solutions of the IVP is vaild

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Q: Show that when x increases from 1 to 1.25 and when it increases from 2.75 to 3, the value k of grows…

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Q: Find the interval of convergence: n³ (x + 5)" 6n n=1

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Q: 3)suppose fle) isadifferentialile funehou on the intervall E-7,1J Such that l-7) =4 and f6)=1.…

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Q: tx Σ 5 (-1)"(x+3)" n2n n=1

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Q: The equation x² + ax + b 0, has two real roots a and B. Show that the iteration (i) Xk+1 = - (axk +…

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Q: 13) Find the open intervals on which ƒ (z) = x³ – 12z is increasing or decreasing.

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Q: 4cos20 + 2/3 = 0 on the interval[0, 3t]

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Q: determine the interval and radius of convergence 1 Z-3)2+"(n² + 1) (4x - 12)" n=0

A:

Q: 3) Verify that the hypotheses of Rolle's Theorem are satisfied on the given interval, and find all…

A: Solve the following

Q: converges, then C„-)" " con COr n=0

A: We have to choose the correct answer from the given option according to the given series

Q: Comment on the accuracy and applicability of the three rules( Simpson, Trapezoidal, and Mid-ordinate…

A: Numerical integration

Q: 1d. Show that the given equation x- In xX= 0, has a root in the interval [4, 5].

A:

Q: Suppose s(t) = 8t - 2t² on the interval [0, 4]. What is the distance traveled on [0, 4]? 00 04 08 O…

A:

Q: Which of the following is the interval containing the root if xi = 0.0000 and delta x = 0.1000. O…

A: we use the direct substituting the values of interval to determine the solution is exist or not in…

Q: The interval notation for the set (xlx ≤4 or x>-2} is. [-2,4] A O (-2,4] BO R .CO DO [-2,4) EO…

A:

Q: (h) (3x)* (3.r)* 2k |1 k=1

A:

Q: - Give the domain for k(a) in interval notation. x2 + 3x +2

A:

Q: If you are asked to find L4 for f(x) = edz) + In(x) on the interval [2,10], what would the value of…

A: From the given problem:   fx=e3x2+lnxa,b⇒2,10   As we know that the expression for the step size is:…

Q: 5). Find the interval of convergence. ∞ n = 0 xn n7 + 8

A: Introduction: A power series can either be convergent everywhere or can be convergent over a…

Q: determine the radius and convergence of E n=1 5xn/3n2

A:

Q: 9.4 4. Using composite Simpson's rule with n = 8 sub-intervals to estimate 10ze-0.6z da we obtain…

A: 4. From the given integral, the function is fx=10xe-0.6x, a=8 and b=9.4=475 and n=8. Note that, the…

Q: * By using Interval Halving method, If the lies in the interval [1,2], E=0.02the root of the…

A: f(x) = x2 - 3 in [1,2]

Q: -) verify that the function Satisfies the three hypotheses of Rolle's theorem on the given interval.…

A:

Q: Sove for X: 3+ In(x+2)=2 .do not round any intermediate Computeltions; and round your answer. to the…

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Q: Determine the interval of convergence of the following: x2n+2 (2n – 2)! n=1

A:

Q: 3 By applying the Intermediate Value Theorem choose the interval over which x4 = 7x3 - 5 will have a…

A: The given problem is to find the interval for the given function that which the intermediate value…

Q: 7. Use the Intermediate Value Theorem (IVT) to show that there is a root of the equation In r = 3 –…

A: We can use intermidiate theorem in order to solve the given problem.

Q: Two real numbers X and Y are chosen at random in the interval (0, 1). Compute the probability that…

A: Selecting two points x and y from the interval (0,1) is identical to selecting a single point from…

Q: Use the IVT to find an interval of length 0.3 that contains a root of In r = 3 – 2r.

A:

Q: Let " - y' + 21 = In(t – 1.)the longest interval the solution is sure to exist (0.1).

A: Here is the solution of the given problem.

Q: Find the interval of convergence for 3kzk (k + 4)² а) O1-3, 3] 1 1 b) O c) O[-4, 4] d) O(-1,1) e) O…

A:

Q: 1 n³ + nªx²

A:

Q: The interval of convergence of +o B(x+7)“ is

A: Given, ∑n=0∞8(x+7)n3n

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.