Find the interval(s) where f(x)=x²-3x³-6x² - 2x +4 is concave up.

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Q: Find lim 1 2x217 a. x→ 0* 5 (x-6)2/7 b. x→ 0 as C. X→ 6* d. x→ 6

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=6ey-3ye* Select…

A: The function is given as , fx,y=6ey-3yex find all local maxima , local minima and saddle points.

Q: 10) Consider the following two functions p(t) = and 7e-2)-7 t-2 P: R R if 0 2 q: R→R q(t) =…

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Q: 34. [ 22+x (4x³ + 3x²)² dx

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Q: 1) ƒ(2) = ƒ(4)=0 max /mm f(3) is defined f'(x) 0 on (3,∞) inc f'(3) is undefined f"(x) < 0 if x #3

A: We have to Sketch a graph of this function based on the info given.

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Q: The quadratic formula allows us to find solutions to any quadratic equation.

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Q: 14. Evaluate the limit for the graph: lim f(x). x → 1 4 a. +∞o b. 1 T y4 4 2 20 +2 T 2 4 c. 3 d.…

A: see below the answer and explanation

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Q: lim 104 sin 3x x

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Q: 11. Use matrix multiplication to show that two clockwise rotations of radians produces the same…

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Q: For each problem, sketch the region bounded by the graphs of the functions and find the area of the…

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Q: 3. Write a polynomial of lowest degree with zeros of 5 (multiplicity 2) and -3 (multiplicity 2) and…

A: To write a polynomial of lowest degree with zeros of 5 (multiplicity 2)  and -3 (multiplicity 2) and…

Q: Find equations of the tangent lines to the curve x-1 x + 1 that are parallel to the line x - 2y = 3.…

A: Given  curve equation:- y=x-1x+1

Q: r(t) Find a plane containing the line y(t) z(t) - 4x + 5y4z = 3 ww 3-5t -3-3t and orthogonal to the…

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Q: Consider the following graph of the second derivative, f" (x), for some function f(x): f"(x) -6 fr…

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Q: A certain magical substance that is used to make solid magical spheres costs $600 per cubic foot.…

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Q: 4. Find the solution to the initial value problem y'= 5(2-y), y(0)=5. Report solutions in y equals…

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Q: Use the chain rule to find əz əs əz at = II - Z = tan дz əs and дz at u = 9s + 5t, v = 5s - 9t

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Q: Show that the scalar field = 1/R], which is defined everywhere except at the origin, is a potential…

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Q: 6) Differentiate y=2 cos (z) + 6cos¹ (z).

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Q: 112. Gaussians An important function in statistics is the Gaussian (or normal distribution, or…

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Q: Which of the following quadratic equations has imaginary solutions? A B C D 3x²-8x+6=0 3x² + 20x-7=0…

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Q: Find the volume of the solid enclosed by the paraboloids z = 16(x2 + y2) and z = 2 - 16(x2 + y2)

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Q: 3.) Find the volume of the solid whose base is the region bounded between the curve y=x²-x-3 and y=x…

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Q: Determine whether the Mean Value Theorem can be applied to the function f(x) = the closed interval…

A: given function is :-f(x)=2x3        and interval  0,16then we have to find value of c , when applied…