In (1 + x²) x-0 1 COS X 37. lim - x² - 4 x→2 ln (x - 1) 38. lim

Q: given by C(x) = -0.07x² + 75x. Find C(288) C(287) Interpret the result

A: we will find the required.

Q: 3) Curve Sketching: The function y = f(x) and its derivatives are given below. Use the information…

A: We have to plot function using given information

Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

A:

Q: Sketch the graph that possesses the characteristics listed. f is concave down at (1,5), concave up…

A: We need to find the graph which have the following characteristics f is concave down at point (1,5)…

Q: Find the general solution to the non-homogeneous differential equation. y" - 4y' + 5y = 7e-x y(x) =

A:

Q: - The function ƒ(x) = 2x³ − 33x² + 144x – 2 has two critical numbers. The smaller one is x = and the…

A: Please see the below picture for detailed solution.

Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: As per rule I need to solve only first three subparts.

Q: Determine if the series n = 1 7+1 3+8" converges or diverges and choose the option that describes…

A:

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

A:

Q: Find a plane containing the point (-5,6,5) and the line Calculator Check Answer x (t) y(t) z(t) = =…

A:

Q: Evaluate the double integral. √ 9x (25+ y²)-¹dA; R R is the region in the first quadrant enclosed by…

A:

Q: Solve the differential equation. 2xy + 4x + (x² - 4) dy = 0 dx

A:

Q: Find the area of the region cut from the first quadrant by the curve r=8(3- sin 20)

A:

Q: Find the distance between the skew lines: x = 2 + 6t, y = 1+ 2t, z = 1 - 4t x = 3-t, y = 9, 2 = 4 +…

A:

Q: 19x² tan¹x dx = [

A: The given integral is 19x2tan-1x.

Q: Find a plane through the points (-2,6,6), (4,4,5), (2,-4,1) Calculator

A: Given :The points (-2,6,6), (4,4,5),(2,-4,1)

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: We have to find the monotone intervals and relative extremas.

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A:

Q: An open-top rectangular box is being constructed to hold a volume of 350 in³. The base of the box is…

A: Given: volume = 350 in³ base material costing = 6 cents/in² front cost = 12 cents/in² remainder…

Q: Answer the following questions. 1 A function f is given by f(x) = (x+1)|x+3| x+3 (a) Express f(x)…

A:

Q: Some value of f(x) and f'(x) are given in the table. If no value is given, then you should assume…

A: Given Table:- x 4 5 6 f(x)   -3   f'(x) 1 ϕ 1

Q: The equation of motion of a particle is s = t³ - 12t, where s is measured in meters and it is in…

A:

Q: Find the points on the cone ² = x² + y² that are closest to the point (5,4,0)

A:

Q: 17x³ (In x)² dx =

A: The given integral is: ∫17x3 ln x2 dx

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: The given function is: hx=2x3-24x

Q: V 5 4 3 2 1 -1 -2 -3 -4 The graph above shows the base of an object. Compute the value of the volume…

A: Given figure:-

Q: Find the length of the curve y=ln(1-x^2) for 0≤x≤1/8

A:

Q: Q2 Find and simplify the derivative of f(x) = cosh ¹(sinh(x)).

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 4.7² as follows: Let f(x) = x². The…

A: f(x)=x2m=f'(x)d dx(xn)=nxn-1

Q: Let à = (-3, -5, -2) and 6 = (2, 5, 3). Find à x b. V Calculator Check Answer 7

A: Please see the below picture for detailed solution.

Q: 1

A: We have to simplify and write in x according to the given information.

Q: Find lim f(x) if, for all x > 1, x → 00 4 12ex - 24 4ex X 3√x √x-1

A:

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: Integration

Q: Find the volume of the region bounded above by the paraboloid z = 4x² + y² and below by the square…

A:

Q: Determine an expression for the derivative of this function. (Do not simpli f(x) = (2x²-x)(√√x² - 1)

A:

Q: X x+3 3x-1 Evaluate the limit, if it exists: lim a. 0 b. undefined C. co|w d. 1

A: Given : limx→3  x3x-1 To find: The value of given limit

Q: Find the future value of the following ordinary annuity. Payments are made and interest is…

A: Given : Find the future value of the following ordinary annuity. Payments are made and interest is…

Q: Use the root test to determine convergence or divergence of the series of the series. n=1 3n¹3+n…

A:

Q: - 49 -dx = X (Type an expression using x as the variable.)

A:

Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

A:

Q: 2√3/3 3/2 21 7(²-1) ³92 - -dr = r (Type an exact answer in terms of .)

A:

Q: let y = ln x find y' O 1/x O 1/x² O x X none of the above

A:

Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:  fx=2-62x To Find:  To determine the domain of the derivative of fx and  then to evaluate it…

Q: Find an equation of the tangent line to the curve at the point (1, -1-). y = x³e-x y =

A: To Find: Tangent line to y=x3e-x, at point 1, 1e

Q: d. f(x) = 3x4. 3x²-2 2x

A:

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Given function f( x ) = 36-x2

Q: The function f(x) = - 0.625x^3 + 16.789x^2 - 102.722x + 658.154 approximates the number of…

A:

Q: 43 x

A: given diagram of polar region

Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

A: