The following function is continuous at x = 0. f(x) = ex, { 9x² + x + 1, x < 0 x≥0

Q: 2. Coefficients Linear in Two Variables (3x +2y + 7)dx+ (2x - y)dy=0

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A: The standard equation of a circle is  x-h2+y-k2=r2, where center of the circle is at h, k and radius…

Q: 1. Use the limit comparison test to determine whether the infinite series is conver a. Σn=27³-1 b.…

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Q: 32. √ ₁²+2x-3d²

A: Given integral I=∫xx2+2x-3 dx

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A: The given integral is  ∫0a2-x2∫-aa 1+2(x+y)x2+y2dx dy

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Q: (a) F(t)=(2 sint)i + (2 cost)j from the point A(2, 0) to the point B(-2, 0)

A: To find the arc length of given function

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A: To evaluate the limit of the function

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A: Topic:- application of algebra

Q: 5. Graph by converting to exponential form first. You must graph at least 3 points. y = log ₂(x+4)…

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Q: 2. Suppose that f(1) = 2, f(4) = 7, f '(1) = 5, f '(4) = 3, and f" is continuous. Find the value of…

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: Find y' if x = y. y' = Note: Leave your answer in terms of x and y.

A: Given: xy=yx To find: y' To find the y’ we need to take logarithm to both side

Q: Exercise (3): Use the Laplace transforms to solve the given initial value problems. (1) y' +6y=et,…

A: according to bartleby guide line we do only first part of multiple questions 1)    y'+6y=e4t…

Q: Use Euler's method with step size 0.5 to compute the approximate y-values Y₁, V2, Y3 and Y4 of the…

A: Solution:

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Q: Determine if the following series is absolutely convergent, conditionally convergent, or divergent.…

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Q: Find the maximum and minimum values of the function f(x, y) = e subject to x³ + y³ = 54 Please show…

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Q: 8 Problems Find the integrals in problems 1-4: 2² 3x³ +7 1. J d.x

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Q: Write the composite function in the form  f(g(x)).  [Identify the inner function  u = g(x)  and…

A: To find the derivative

Q: 9).For which p does the series ∞     n = 1 4pn 5nconverge? p <__-   please show step by step…

A: We can check for what value of 'p' series is convergent .

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A: We will use critical points to find the maximum value of the function.

Q: e¹ = 7

A: Given query is to find the value of t.

Q: Problem 3. evaluating them. ∞ 1 So₁² (2-3)³/2 5 dx Determine whether each integral is convergent or…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Integral Calculus (Upvote will be given. Please write the complete solutions with GRAPH/DIAGRAM…

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = x³y². The directional…

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Q: Find the radius of convergence fo

A: We have to find the radius of the convergence from the given power series

Q: (b) Hence find the value of S² S ²² 2y(1 + y²x) e¹²x dx dy.

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Q: 36. x3 x³ - 11x - 26 x²2x-8 [²0 dx

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Q: The demand function for Wally Winka's Neverending Lollipops is given by p= (12-x)In(x + 7) where p…

A: Given  p=12-x lnx+7 is the demand function When x=6    p6=12-6 ln6+7           =6 ln13   Rate of…

Q: 5 decimal places. The two triangles are similar. 8 4 5

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Q: Let y = = (x³ - 7x) ¹(x) . Find dy/dx using the method of logarithmic differentiation. Answer:

A: Let's find dy/dx by using logarithmic differentiation.

Q: Consider the following. e¹ - 4x = 3 (a) Find the exact solution of the exponential equation in terms…

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Q: An equation for a quartic function with zeros 4, 5, and 6 that passes through the point (7, 18) is…

A: An equation of a quartic function with zeros 4,5,6 and passes through (7,18) is

Q: Consider the following. e-10x = 2 (a) Find the exact solution of the exponential equation in terms…

A: As we know that lnem=m lne=m  as lne=1

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Q: b. For the cylindrical shells method, consider the region bound by y = √r² — x² in the first…

A: Given figure:-

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Q: Analyze the function f(x) = {. No 12 -10 if z < 6 +7 if x ≥ 6 √6 Your classmates may be analyzing…

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Q: lim X ड Hy गं

A: We have to find limit

Q: Use Cramer's rule to give the solution set to the system of equations 9x+4y=2z=1 5x+2y-z=-1…

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Q: 4 Find the exact sum of 26 5 n=0 n

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