h(r) = - 6/(r − 5)2   concave upward        concave downward

Q: Solve the following quadratic inequality using the method of test intervals.3x4 - x2 - 4 < 2 x3 +...

A: 3x4-x2-4<2x3+12x⇒3x4-x2-4-2x3-12x<0⇒3x4-2x3-x2-12x-4<0 Now let us solve the equation 3x4-2x...

Q: Fill in the blank/s: The first step in solving the equation 4 cos2 x + 4 sin x - 5 = 0, 0 ≤ x < 2...

A: 4cos2 x + 4 sin x -5=0, 0≤x<2π

Q: 3 dx x-2

A:

Q: Choose the general slicing method, the disk> washer method, or the shell method to answer the fol...

A: Given y=secx and y=2 for 0≤x≤π3

Q: Insert either <, >, or = to make a true statement. |3/5| | -0.6 |

A: Insert either <, > or =, 35 ____ -0.6

Q: A Triangular Plot of Land An outdoors club is purchasing land to set up a conservation area. The las...

A: Given graph is The co-ordinates of the triangle are (x1,y1)=(1000,2000) , (x2,y2)=(2000,6000), (x3,...

Q: Find the domain and sketch the graph of the function.   f(x) = x2 - 2x + 1

A: Let us consider the given function. Since, the functionis a polynomial, so the domain is all real nu...

Q: a CAS to solve the initial valuePlot the solution curves. y'' = 2/x+ 2x, y(1) = 0, y'(1) = 0

A: The differential equation y''=2x+2x, y(1)=0,y'(1)=0. We have to solve this differential equation and...

Q: дхду дхдудх dx² dy

A:

Q: Find the limit, by HAND please. step-by-step

A:

Q: Express the solution using interval notation and graph: (5)/(x+2) > 3

A: We subtract 3 first5x+2>35x+2-3>05-3(x+2)x+2>05-3x-6x+2>0-3x-1x+2>0  

Q: Calculus Question

A: Authoring guidelines: ______________________________________________________________________________...

Q: The angular speed of a point on Earth is π/12 radian per hour. The Equator lies on a circle of radiu...

A: Linear velocity: v=rw Where r is radius of a circle. And w is the angular velocity.

Q: What is lim tan(x)? Why? AY 10 8 6. 4 2 -0.S 0.ST, 0.5n, 1.5a, 27 2.5m -4 -10

A: Given limit is limx→π2+tan(x) As shown in the graph of tan(x), as x approaches π2 from right side , ...

Q: If h(x)=√6+5(fx), where f(1)=6 and f'(1)=3, find h'(1)

A: Given that: hx=6+5fxWhere,  f1=6,  f'1=3 Differentiate the given function with respect to “x” then, ...

Q: h(x)%3De**·log,(x - 3x). Find h'(x).

A:

Q: 15.2 Q 14

A: To Find: The average height of the "ceiling" in the figure is defined by zx,y=y2sinx for 0≤x≤π, 0≤y≤...

Q: Give the domain and the range of the quadratic function whose graph is: The vertex is (-3, -4) and t...

A: Domain:   The set of values of x for which function is defined or exist. ---------------------------...

Q: Find the effective rate corresponding to the given nominal rate. (Assume a 365-day year. Round your ...

A:

Q: 5. .What is lim - ? Why? (x-2) 100 80 60 40 20 -10 -2 20 -40 -60 -80 -100 -8 6 6 8 10

A: Given limit, limx→2exx-2

Q: Use series to evaluate the limits

A: Given limit: limy→0y-tan-1yy3 Series for tan-1y, tan-1y=∑n=0∞-1ny2n+12n+1=y-y33+y55-y77+....  

Q: If f and g are differentiable functions such that f(2) = 3 , f ′ (2) = −1 , f ′ (3) = 7 , g(2) = −5 ...

A:

Q: #53 a b c

A: Given: 53.   fx=xlnx,  0,∞

Q: If x2 + y2 = 2st − 10 and 2xy = s2 − t2, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t at(x, y, s, t) = (4, 2, 5, ...

A: If x2+ y2 = 2st − 10 and 2xy = s2 − t2,To  find∂x∂s,∂x∂t,∂y∂s,∂y∂t at (x, y, s, t) = (4, 2, 5, 3).

Q: A circle of radius 3 centered at the origin.

A: Solution -    General equation of a circle is given by -  x-h2+y-k2=r2where, (h, k) = center of the ...

Q: Solve the differential equation xy' ==x + 3y, for x

A:

Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.3x + 400, what is the ...

A:

Q: g(x) = x3 − 9x   relative maximum (x, y) =                relative minimum(x, y) =

A: The given function is gx=x3-9x. Compute the critical points as follows. g'x=0ddxx3-9x=03x2-9=03x2=9x...

Q: Express the solution using interval notation and graph:       x2 - 18 > -7x

A:

Q: Rounded to the nearest cent, find the amount of money accumulated in 5 years if $10000 is invested a...

A: Suppose P be the principal amount, R be the interest rate and t be the time, then P=$10000, R=6%  pe...

Q: DIRECTION: Solve the following problems. Apply the different rules and formulas for differentiation ...

A: Given that: m) y = cot2(sinθ)n) f(x) = cos(sin(tanπx)o) f(t) = tan(et) +etant To find: Derivative of...

Q: Consider the following. y = 3x - 27x2 + 5 (a) Find the critical values of the function. (Enter your ...

A: Given that f(x)=3x3-27x2+5

Q: Use the graph to determine the equation of the vertical asymptote: 15 4 -5 -4 -3 -2-1 4 5 -2 -3 -4- ...

A: On the left side of x=-1 the graph is going towards negative infinity. And on the right side, it is ...

Q: If the line y=x+4 is tangent to f(x)=ax2 +bx at the point (2,6), then a+b?

A:

Q: Find all zeros of the polynomial function f(x) = x4 - 5x2 + 4.Then graph the function.

A: To Determine:  Find all zeros of the polynomial function f(x) = x4 - 5x2 + 4.Then graph the function...

Q: 2. Find the general solution to each of the following DEs, showing work- ing dy (a) -x = xe dx dy (b...

A:

Q: Approximate the logarithm using the properties of logarithms, given log, 2 x 0.3562, log, 3 x 0.5646...

A: log mn = log m + log n log am = m log a

Q: How to solve this questions

A: (a) To convert rectangular coordinates x,y,z into cylindrical coordinates r,ϕ,z use the conversion f...

Q: Use the terms domain, range, independent variable, and dependent variable to explain how a function ...

A: Use the terms domain, range, independent variable, and dependent variable to explain how a function ...

Q: 15.2 Q 15

A:

Q: Find the effective rate corresponding to the given nominal rate. (Assume a 365-day year. Round your ...

A: To find the effective rate Given nominal rate=16% compounded quarterly

Q: Apply the different rules for differentiation in finding the first derivative of the following funct...

A: