Find the constant a such that the function Is continuous on the entire real Iine. 7sin x If x <0 g(x) = %D 5x If x 2 0 Submit Answer

Q: IT COs u r sinudr du z ry dx dy dz 2y

A: Solve integration

Q: 3k Consider the series >(-1)*. k2 + 144 k=1 Using the error bound theorem for alternating series,…

A: Error bound theorem states that " if ∑n=1∞-1nbn  be a alternating series then if it satisfy (i)…

Q: the function f is not differentiable at x=0.

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Q: Solve for x. Each figure is a trapezoid. K X J 5x – 20 16 17 L Y M

A: To solve for x.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Find the measure of all the interior angles of a pentagon. Sx+2 3x+5" Bx-N 4x+15 O.

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Q: az and ax az 6x3 3. Calculate the partial derivatives for the function z = - x3+3y3 み=…

A: We know that; The Quotient rule: fg'=f'·g-f·g'g2   3). Given: z=6x3x3+3y3

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A: The feasible region using the given constraints is plotted below :

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A: Let X be the random variable from normal distribution with mean (μ) = 4900 and standard deviation…

Q: Define solution of a differential equation with example.

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Q: Let V be the set of all functions that are continuous on [-1.1]. Let W ons that are differentiable…

A: Theorem for every differentiable function: It is a universal theorem that, "A differentiable…

Q: You can always use a bisection algorithm to find a root of a continuous function

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Q: (1) Let o, T E S6 such that 45 6 1 2 3 T = 2 3 1 2 3 4 5 6 1 O = 6. and 4 3 5 1 2 6. 5 4 Determine…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Please state whether this is true or false

A: Given, ∫abfxdx = area above x-axis - area under x-axis   We have to identify the truthfulness of the…

Q: The L'Hospital's rule can be applied to find the limit of a function as long as you can express it…

A: L'Hospital's rule states that, the limit of the ratio of two functions is equal to the limit of the…

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Q: Select the letter of the correct response. Investigate the series n=1 (a) Converges by Root Test…

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Q: Suppose z = (0, 4), then arg(z) = {+ 2nn,n E R %3D

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Q: If f(x) <g(x) for every x in [a,b], then S'f(x) dx < S° g(x)dx, unless f(x)=g(x) for all x.

A: Given that f(x)&lt;g(x) for every x in [a,b].Then the sum of all values of f(x) will be less than…

Q: 1.1 Problems S1 S4 explore a method in which we seek solutions of a specific form: S1. Find all…

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Q: Which is the most accurate measurement of the stick of gum using the ruler?

A: The ruler is in inches and unit 0-1 in is divided into eight parts.   So,  the smallest unit of the…

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A: Let X denotes the family spending. Given that X follows N(mean = 4900, SD = 900), then  Z = (X -…

Q: ) If g(x) = x³, then lim x-2 g(x) x - 2 - 12

A: Given query is to find statement is true or false.

Q: -3 2. Express z³+z' (the conjugate of z raised to the third power) in polar coordinated form u(r,0)…

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Q: Lecture #1-(for final) - Z-score -measure of relative position Z-score for a given data value x is…

A: Given Information: Quiz 1: Score is 72 Mean μ=65 Standard deviation σ=8 Quiz 2: Score is 60 Mean…

Q: Show that, by det by b2 92 •92 =TT (ai-bi) br b2 b3 an

A: We have to show that det111⋯1b1a1a1⋯a1b1b2a2a2⋮⋮⋮⋮b1b2b3⋯an=∏i=1nai−bi Let us consider the matrix…