Find the absolute maximum and absolute minimum of f(x) = 2x³6x² - 48x + 95 on the interval [1,6].

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A: To find The line integral, where C is the arc of the circle

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Q: Practice problems on section 9.5 Solve trigonometric equations: Solve the following equations on the…

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Q: 2. Determine whether each of the following matrices are in row-echelon form, Reduced row-echelon…

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Q: Consider a cylinder with radius 1, lying on its side, 3 units long. Now, we'll be using an integral…

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Q: Find the x-coordinate of the point on curve y=In(2x²-11x) where the tangent line is horizontal. Just…

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Q: Use Euler's Method to make a table of values for the approximate solution of the differential…

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Q: Use an integral to find the area of the region under y = 71n(4x) and above y = 3 for 4 ≤ x ≤ 8.…

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Q: Consider the following expressions (a) div(gradf) (b) grad(div F) (c) curl(curl F) Classify the…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1,-9, 5) Radius:…

A: To find the standard equation of the sphere with the given characteristics.

Q: Using matrix algebra techniques, find a general solution to the system. x' = 3x -6y y' = 6x-17y -…

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Q: Select ALL matrix multiplications that are valid given the following matrices: A = 1 2 3 2 - 10 B*B…

A: This is question of algebra Here matrix is given We have to check it multiplication is valid or not…

Q: Find the linear approximation for y=sin x at x = 0, and use it to approximate sin(0.3)

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: How about the solution for #5?

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Q: Find the values of a and b such that a = b + [¹ f(x) dx − [*f(x) dx = f*f(x) dx. - 11

A: Given,

Q: Consider the following vector field. F(x, y, z) = 4yz lnxi + (3x − 7yz)j + xy6z³ (a) Find the curl…

A: given vector field

Q: Compute the line integral f(x² + y² +2²)ds, where C is the curve represented by C x=t, y = cos 2t, z…

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Q: √x csex² not x² dx 2

A: Consider the integral

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Q: Function kf(x), f(x) + g(x) xn (n − 1) 1 X exc COS X General Antiderivative Function sin x sec² x…

A: Solution Antiderivatives are the opposite of derivatives means integration.

Q: y = tan x S 2 1 1+t³ dt

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Q: For what values of p is each series convergent? n = 1 (-1)^-1 np +2

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Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = 1 2 2! +4…

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Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Your velocity is v(t) = ln(t² + 1) ft/sec for t in seconds, 0 ≤ t ≤ 2. Find the distance traveled…

A: Velocity is v(t)=ln⁡(t2+1)ft/sec for t in seconds, 0≤t≤2.

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x² lim (x, y) → (0, 0) (x² +…

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Q: The graph of f(x) is shown (see figure). 6x x² + 1 f(x) (a) Find the following limits. lim f(x)= x →…

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Q: Given the function f(x)=x+6). • Determine the domains for which f(x) is a one-to-one function. •…

A: The given function is

Q: Trust Fund A deposit of $20,000 is made in a trust fund that pays 5% interest, compounded…

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Q: The height (feet) of an object moving vertically is given by s= - 16t² + 48t+ 36, where t is in…

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Q: . The derivative, f', of a function f is plotted below. At approximately what value of x does f…

A: The derivative, f′, of a function f is plotted below. At approximately what value of x does f reach…

Q: Find the partial derivatives of the function 뚝뚝층 _w = V2 + 182 + 2t2

A: The Power Rule:The Chain Rule:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: If f(a) = 3 and f(x) is increasing on the interval [a, b], then which method of estimating the area…

A: If f(a) = 3 and f(x) is increasing on the interval [a, b], then which method of estimating the area…

Q: Find the area of the shaded region. ㅇ 쁨 38 3 이렇 이렇 (0, -3) y= (16,1) 3 16 x

A: we need to find the area of the function

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A: Consider the integral

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.004t² +0.2t, where…

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = x + 1/ interval [0.2,…

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Q: Use the Fundamental Theorem of Calculus to find the derivative of the following function 5 F(x) = [²…

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Q: Question A particle moves along a line with a velocity v(t) −3t² + 3t +4, measured in meters per…

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Q: Consider the following polynomial function. f(x)=x4−2x3−8x2+10x+15 Step 1 of 4 :   Factor the…

A: Consider the following polynomial function.f(x)=x4−2x3−8x2+10x+15 Factor the polynomial completely.

Q: 2) Sketch the appropriate region and find the exact area between the curves y y = and y=0, x=1, x=9

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Q: Evaluate (x² + y²) d.S, where S' is the surface z = 4 - æ, 0 ≤ x ≤ 2, 0 ≤ y ≤ 2. S (036² + y²) ds =…

A: To find:-  Where S is the surface

Q: Given: (x is number of items) Demand function: d(x) = 532.4 -0.6x² Supply function: s(x) = 0.5x²…

A: we need to find equilibrium quantity between the two given equations

Q: Find all exact solutions on the interval 0 < 0 < 2. If there is more than one answer, enter them as…

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Q: Consider the following expressions (a) (b) div(gradf) (c) grad(div f) div(curl(gradƒ)

A: we need to classify the given expression.

Q: Consider the point whose Cartesian coordinates are (-1, –1,1) What are its cylindrical coordinates?…

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Q: The graph of g is given below. 6 5 -6 -5 3 Log(x) dx -6 4 -6 + Use the graph to evaluate each…

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