Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x < 3 f(x) = x - 3 -7x2 - 70x- 175 + k if x 2 3

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A: Topic:- geometry

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A: a)  For x&lt;0    Consider f'(x)=0  ⇒10(ex+xex)=0  ⇒10ex(1+x)=0  ⇒1+x=0  ⇒x=-1For x≥0Consider…

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Q: Consider the series (-1)n*(3n2+n+5)/(4n3+2) = 5/2 - 3/2 + 19/32 - 7/22

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Q: 10. Find f'(x) if f(x) = x² + 2x – 5. А. 2х В. 2х + 2 С. 2х +3 D. 2x – 5 11. What is the slope of…

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Q: If f (x) = Vx + 7 and g(x) = , , find f(x) · g(x). Keypad Answer Keyboard Shortcuts f(x) · g(x) =…

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Q: Evaluate and write your answer in a + bi form. [3(cos 68° + i sin 68°)]° - Round to two decimal…

A: De moivre's theorem states that cosθ+isinθn=cosnθ+isinnθ

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Q: - 5x Use the Taylor polynomial of degree four for the function f(x) = e at x = 0 25 125 625 P4(x) =…

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Q: Describe the shaded sector in the figure by inequalities in r and 0. 45°

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Q: 10. The vectorj^3E is the same as vector O j^4E O j^5E O j^2E O jE

A: Solve by vector product

Q: ACTIVITY 2: Find the derivative and simplify the result, if possible y = x2 + n² +x" y = x2 sec x y…

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Q: 1 Find a power series representation of a (1– x)2 * | +00 1 %3D 2 3 + 22 ' 23 b Find the sum of the…

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Q: Find the limit algebraically by factoring the expression first. lim X-6 -8x2-56x-48 x + 6

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Q: 4- 3. 2 2 3 To find the blue shaded area above, we would calculate f(r)dc area Where: %3D a = f(x):

A: If the line passes through the points x1,y1 and x2,y2 , then the equation of the line is…

Q: dx If z4 = x+y2, dy 3, and z > 0, find dz -1, dt at (x, y) = (0, 4). dt %3D %3D dt Please give an…

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A: Integration

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Q: SOLVE the following DIFFERENTIAL EQUATIONS using appropriate method. FULL SOLUTION    (y^2 +…

A: To find the solution of the given differential equation.

Q: A. Use the definition of derivatives to determine the derivatives of the following functions. 1.…

A: 1. f(x)=x2. f(x)=-4x3-23. f(x)=1x Note:     Multiple parts are given, we are answer with three parts…

Q: Ho do this. Apply the Direct Comparison Test to the series (a) determine the contrived series, (b)…

A: contrived seies∑n=1∞n-3n5n=-25-150+0+....

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Q: Determine the inverse Laplace transform of the function below. 17 S +81 Click here to view the table…

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Q: What constant acceleration will bring an automobile traveling 60 mph to rest in 160 feet?

A: Explained below

Q: At a dinner party hosted by The University: • 13 guests had steak and chicken • 29 guests had steak…

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