Find a positive angle less than 360° or 2π that is coterminal with the given angle -8π/3.

Q: Solve absolute value inequality : l3 -(3/4)xl > 9

A: Given: 3-34x>9 we know that solution of inequalityx-a>b is given by x-a<-b or x-a>b     ...

Q: 1) Given the velocity and initial position of a body moving along a coordinate line at time t, find ...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Find the area of the region bounded by the graphs of y = 2e−x , y = 0, x = 0, and x = 2.

A: Given equations: y=2e-xy=0x=0x=2 The region bounded by the graphs of these equations is shown below:...

Q: When a plane flies with the wind, it can travel 4200 miles in 6 hours. When the plane flies in the o...

A: Let x and y be the average velocity of the plane in still air and the average velocity of the wind r...

Q: Find the indefinite integral

A: To evaluate: ∫2x+1ex2+xdx Let substitute t=x2+x dtdx=2x+1dt=2x+1dx Substituting the value, ∫2x+1ex2+...

Q: Which order of integration is preferable to integrate ƒ(x, y) = xyover R = {(x, y): y - 1 ≤ x ≤ 1 - ...

A: Given: fx,y=xyR=x,y:y-1≤x≤1-y, 0≤y≤1 To Determine: Which order of integration is Preferable to integ...

Q: Derivatives Find and simplify the derivative of the followingfunctions

A: It is given that, fx=e2x+8x2ex+16x4We have to find the derivatives.  

Q: Simplify : 72x3/4 / 9x1/2

A: Given information: 72x349x12  

Q: Limits Evaluate the following limits using Taylor series.

A: Given: L=limx→01+x-ex4x2 we know that ex=1+x+x22!+x33!+x44!+...................                     ...

Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the giv...

A: Solution:- The given curve is  x+xy=6  ......(1) and point (4,1) we have to find equation of the tan...

Q: Definite integrals Evaluate the following definite integral.

A: ∫e-ti+2e2tj-4etk dt=e-t-1i+2·e2t2j-4etk   ∵∫eax dx=eaxa+C=-e-ti+e2tj-4etk

Q: State the name of the property illustrated : 6(7 + 4) = 6 * 7 + 6 * 4

A: Given: 6(7 + 4) = 6 * 7 + 6 * 4

Q: Divide using synthetic division, (3x4 + 11x3 - 20x2 + 7x + 35) ÷  (x + 5)

A: Consider the given division 3x4+11x3-20x2+7x+35÷x+5 -5        -15    +20  0 -353           11      -...

Q: Simplify : (x2 + 2)2

A: a+b2=a2+2ab+b2

Q: The pressure in P = 10T/V     of a gas in a cylinder is given by   with T in kelvins (K) and V in m3...

A: Given as : P=10TV By differentiating it with respect to t: dPdt=10VdTdt-TdVdtV2 ......1 1). If T is ...

Q: Find the derivative of f(x) = (6x2 + 6x – 4)arctan x a. (6x? + 6x – 4)*rctan x. arctan x 6x2+6x-4 b....

A: To find derivative of  fx=6x2+6x-4tan-1x

Q: For some equations, such as x2 + y2 = 1 or x - y2 = 0, it ispossible to solve for y and then calcula...

A: Implicit differentiation is usually a more efficient method for calculating the derivative of a func...

Q: L'Hôpital's Rule for 0 • ∞ Evaluate lim x? sin

A: limx→∞x2sin14x2

Q: 5.4y″ − 9y = 0

A: Given differential equation, 4y''-9y=0

Q: use an exponential model and a graphing calculatorto estimate the answer in each problem. Suppose th...

A: In any given year the number of cases of a disease is reduced by 20% and there are 10,000 cases toda...

Q: Use symmetry to evaluate the followingintegrals.

A:

Q: Q#1 Find: (a) the intervals on w (b) the intervals on w (c) the open intervals (d) the open interval...

A: The function is given as fx=2x+13. a The interval on which function is increasing , To find the crit...

Q: Define the term Domain and range?

A: Domain : The domain of the function is the set of values of the independent variable for which the f...

Q: If Ix I > 4, then x 2 > 16.

A: True or False if x>4, then x2>16

Q: Evaluate the following integral. ∫ 9t11 cos(1 - t6)dt

A: Given: I=9∫t11cos1-t6dt for evaluating given integral, first we substitute 1-t6=u                   ...

Q: Determine whether the following series converge.

A: Given infinite series is: The above is an alternating series. Now we see,

Q: Finding area Determine the area of the shaded region in lowing figures. sec- x sec? y5 4 y 54 cos?x

A: To Determine: the area of the shaded region in the given figure Given: we have a figure with functio...

Q: Matching Match functions a-f with graphs A-F in the figure without using a graphing utility. A. В. a...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2(x + ...

A: Given: f(x)=-2x+12+5

Q: sinh-1 x dx

A:

Q: Integrals Evaluate each integral.

A: ∫cosh(z)sinh2(z)dz

Q: 53-56 - Families of Lines Use a graphing device to graph the given family of lines in the same viewi...

A: Using the graphing device, the family of straight lines for the given line,  , is given below.

Q: When converting a point from polar coordinates to rectangular coordinates, there are infinitely many...

A: we know that when we convert a point form polar coordinates to rectangular coordinates, there is onl...

Q: A cone with height h is inscribed in a larger cone withheight H  so that its vertex is at the center...

A: By similarity of triangles in the large cone and the small cone formed opposite to the cone with hei...

Q: The function f(x) =(x + 4)/(x - 2) is one-to-one. For thefunction,a. Find an equation for f -1(x), t...

A:

Q: If AB = -7i + 3j + 8k and A is the point (-2, –3, 6), find B.

A:  Given  AB⇀=-7i+3j+8kA=-2,-3,6 we have to find the position vector of B.  

Q: Find the exact value of the remaining trigonometric functions of θ. sec θ =-3,  tan θ > 0

A: Given: secθ=-3, tanθ>0 we know that secθ<0 and  tanθ>0 in third quadrant, and in third quad...

Q: A mass on a spring vibrates horizontally on a smoothlevel surface (see the figure). Its equation of ...

A: Given  Equation of motion is given by  xt=8sint

Q: Towns A and B are located 6 miles and 3 miles, respectively, from a major expressway. The point on t...

A: Pythagorean theoremSum of squares of legs=hypotenuse square

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 4 and...

A: The degree of the polynomial is 5. The leading coefficient is 1 The roots of the polynomial is x = 4...