Find the absolute maximum and minimum values (show final answer as an exact value): f(x) = 2-sin r COS (-43)

Q: Find a power series representation for the function. 8 + Χ (1 − x)2 f(x) Σ( 1) η Determine the…

A: The given function is: f(x)=8+x(1-x)2

Q: Prove: If U AUB and An B = Ø, then A = U\ B

A: we can prove the  given statement .

Q: 3₂ If t=15157, evalvate if possible Part 1. Sin t 13 له b) none - 이글 e) 9 + ا (a C) - 0) ) 6)-1 یہ -…

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Q: Determine the solution for the following higher-order nonhomogeneous differential equation. Also,…

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Q: Use a calculator to solve the following equation for on the interval (0, π). cot (0) =1/2

A: cot(θ)=12tan(θ)=1cot(θ)=2tan(θ)=2θ=tan-12θ=63.4349

Q: Find f′(x).   f(x)=(0.3x+6)(0.6x−7)

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Q: Problem 4. (a) What is a convergent sequence? Give an example. (b) What is a divergent sequence?…

A: Convergent sequence :-A sequence is said to converge to a finite number

Q: Suppose a recent college graduate's first job allows her to deposit $250 at the end of each month in…

A: NOTE: Refresh your page if you can't see any equations. . here we have PTM=250 (monthly payment)…

Q: Find the differential equation by eliminating the arbitrary y = Asin 5x + B cos 5x constant State…

A: we need to write down the differential equation by eliminating the arbitrary constant.

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Find a value of c so that f(x) is continuous at x = 1. f(x) = O c=1 O None of these Oc=0 ○ c= -1 O…

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Q: Find the area enclosed by the given curve and the y-axis x = t² - 5t y = √t 0 X

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Q: (c) Let F(x, y, z) = x^3i + y^3j + z^3 k i) ∇ · F (ii) ∇ × F

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Q: Evaluate √80 22² x²e-x² dx.

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Q: We conclude by showing the max and minimum points. maximum (2,26) minimum (1,1) maximum (-2,-26)…

A: d dx(xn)=nxn-1for critical points  put f'(x)=0fot critical values of x  if  f''(x)>0  minimum and…

Q: a) b) (2,5,-1). Find the values of a,b in a +ib=(3+i)(2-3i where i=√√-1 Find the position vector…

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Q: 4. A parabola has focus F( 11, 8) and directrix x= -17. Find its standard equation

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Q: f sec³3xcos3xdx

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Q: Let y = 3x². Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3…

A: The given function y=3x2 We have to find ∆y and dy.

Q: Without evaluating integral, prove that 1 dx S 0 /2+x-x² 2 < 1 √2

A: Prove that , 23≤∫01dx2+x-x2≤12

Q: Find an equation of the tangent plane to the surface z = 2y² – 5x² at the point (2, 0, -20). Z

A: NOTE: Refresh your page if you can't see any equations. .

Q: Grain pouring from a chute at the rate of 12 ft3/min forms a conical pile whose height is always…

A: How fast is the height of the pile increasing at the instant when the pile is 8ft high? change in…

Q: _ƒ(x) = 2 sin X at x = 0.

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Q: Show that the function f(t)=√t+√√1+t-4 has exactly one zero in Solve the equation √t+√√1+t-4 = 0 to…

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Q: increasing/decreasing

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Q: Why can we pull the 2 out front and change the bounds of the integral from -2 to 2 to 0 to 2…

A: Substitute y^2=u then integrate with respect to u

Q: A person drinks a cup of coffee. Assume that the caffeine enters his bloodstream immediately and…

A: The half-life formula is given by, f(t) = (Amount of caffeine initially) [1/2](t/(t1/2)) where t1/2…

Q: Find the most general antiderivative F(x) given the function below. f(x) = -10 sec² (x) - 6 csc² (x)…

A: ∫sec2dx=tanx+c∫csc2dx=-cotx+cwhere c is constant of integration

Q: ns are on pougop at ang syo! sacop of patient solut y=u²+ v², x = u² − v², 'Rax = z

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Q: Suppose Find the value of f(ln 11). f(ln 11). d da -f(x)=e³a, f(0) = 6.

A: Integrate the given differential equation and then go ahead.

Q: Find the gradient of the function y at x = 4.

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Q: Given the following graph a. Evaluate f (3). f(3) = Number b. Solve for f(x) = 3. n ril H Submit…

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Q: §4.2 PROPERTIES OF POWER SERIES I Use the basic building block Σa, x< 1, together with th 1- x n=0…

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Q: If 0 satisfies the inequalities sin (0) > 0, sin(0) cos(0) > 0, in which quadrant must lie? 1.…

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Q: If z = (5x + y)e", x = ln(u), y = v, find az/au and az/av. The variables are restricted to domains…

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: If the rate of change of a population is directly proportional to the square of the population and…

A: If the rate of change of a population is directly proportional to the square of the population and…

Q: 3. Use cylindrical coordinates to evaluate 3 √9-x² [² [³²*² [√²²+³ (2² + y²) ³¹ dzdydz 0 Jo

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Q: . 6. Consider the function f(x) = r³ - 2x2 defined on the interval [0, 1]. Find the point(s) on the…

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Q: 3. Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the given…

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Q: -8 31.sec (x-y) if csc x=513 and kay="1/5

A: We know, sec(x-y)=1+secxsecytanxtany

Q: S 3 cos³ (x) dx

A: To integrate the given function

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 8 sin(x). If ƒ(0) f'(0) = 3,…

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Q: 3. The area of a circle increases at a rate of 47 cm²/s. How fast is the radius changing when the…

A: We can find the required answer in the below steps using the given data.

Q: Problem 6. A particle is moving on a horizontal line. Its distance from the origin at time t20 is…

A: The  particle is moving to the left if the velocity is negative.

Q: 4. 3 2 (D+D²_5D+3) y = 0

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Q: An object is projected directly upward from the ground with an initial velocity of 128feet per…

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Q: дz дz Given xyz = z + sin(x + y), find and Әх ду

A: The given multivariable function is:xyz=z+sin(x+y)

Q: Evaluate the following integral in spherical coordinates. 2 /4 4 csco 2 SS S p² sin o dp do de Ο π/6…

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Q: 8 2 √√√8x - x² dx 0

A: