Determine the amplitude and period of y = 2 sin (1/2)x. Then graph the  function for 0 ≤ x ≤ 8 π.

Q: Evaluate or simplify the expression without using a calculator: 10log√x

A: Given: The expression, 10logx

Q: Consider the function h(x), for which h(5)=−9 and h′(5)=−2.Find f′(5) for the function f(x)= h(x) / ...

A:

Q: Assume the learning rate for new skills is proportional to the difference between the maximum potent...

A: The learning rate for new skills is proportional to the difference between the maximum potential for...

Q: Find a cofunction with the same value as the given expression csc 35°

A: we have to find cofunction with csc 35

Q: Decide whether each of the following series converges or diverges. Make sure you state whichtest you...

A:

Q: Find the critical points of the functions

A: The critical point is (0,0) (-1/4, 1/2) and (13/64, -13/32).

Q: Find the first derivative for y = e

A: Given function is, y=e

Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between t...

A:

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges...

A: Given, ∫51010xdx This is improper integral, So we can write it as, ∫51010xdx=limt→0∫t510xdx∫51010xdx...

Q: Please help me, I dont understand part A & B?? thanks in advance.

A:

Q: What is the maximum safe speed that this tire can handle when properly inflated and in good conditio...

A:

Q: Computing gradients Compute the gradient of the following functions and evaluate it at the given poi...

A: Given: The function, px,y=12-4x2-y2 ; P-1,-1.

Q: Answer this question.

A:

Q: find the integral

A:      Definition used-                      Power rule of integration-                         ∫xndx=...

Q: for f(x)=3x+2   Sketch the graph of the inverse function on the same coordinate grid that was used ...

A: To Determine : a) Sketch the graph of the inverse function on the same coordinate grid that was used...

Q: Find the triangle whose perimeter is constant and has the largest area using Lagranges Multiplier me...

A: Perimeter of triangle = Constant  Area of triangle = maximum

Q: Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numb...

A: Given:        limh→015+h-15h  Simplify the limit               limh→05-5+h55+hh   = limh→05-5-h55+hh...

Q: A triangular corner is cut from a square 1 ft on a side. The area of the triangle removed is 36 in2....

A: It is given that,the area of the triangle removed is 36 sq. inches which has been cut from the squar...

Q: Please Answer

A:

Q: Evaluate the integral.  integral  sec  6x  tan  x  dx

A: Given integral  sec  6x  tan  x  dx

Q: find the limit or explain why it does not exist

A: Given : limx→012+x - 12x

Q: 5 dx Evaluate by dividing the interval into 8 equal parts x2+6x+10 by using Trapezoidal rule.

A: The given integral is ∫151x2+6x+10dx Thus interval is [1,5]. Now we have to divide the interval [1, ...

Q: Use interval notation to represent all values of x satisfying the given condition. y = 8 -  | 5x + 3...

A: The function is y=8-5x+3. The condition is y≥6.   Thus, 8-5x+3≥6.   Simplify. 8-5x+3-8≥6-8          ...

Q: Find area of the region under the curve and above the x-axis for  2≤ x ≤4.                          ...

A: To determine :  The area of the region under the curve y = 8x2 ex -1x2 above the x - axis for  2≤x≤4...

Q: 26-

A:

Q: If the average rate of change of a function between x = a and x = b is negative, then is the functio...

A: The rate of change of function between two points of a curve represents the slope of the curve.   If...

Q: Find the maximum volume of a cylindrical can such that the sum ofits height and its circumference is...

A: Let r denotes radius       h denotes height Then       volume of cylinder (V) = πr2h Restriction is ...

Q: A university alumni group wants to provide an annual scholarship to current students. If the scholar...

A: Given: A university alumni group wants to provide an annual scholarship to current students. The sch...

Q: Find the antiderivative of the given derivative. ds = 14t(5t2 – 1)3 dt S=

A:

Q: Find the two x-intercepts of the function f and show that f′(x) = 0 at some point between the two x-...

A: Consider the following function: fx=y=x2-x-2 Substitute y=0 in the above function: x2-x-2=0x2-2x+x-2...

Q: Write the English sentence as an equation in two variables. Then graph the equation: The y-value is ...

A: Given: The y-value is 4 more than twice the x-value.

Q: Answer the following questions: Information:                         x²+y²+4x+3=0 ~ CIRCLE          ...

A:

Q: A company that manufactures running shoes has a fixed cost of $300,000. Additionally, it costs $30 t...

A: Fixed cost=$300000 Cost $30 to produce each pair. Sold at $80 per pair.

Q: Find the Maclaurin polynomial p2 for f(x) = e**.

A:

Q: Find (refer to image).

A: We will use the following property of integrals to solve this

Q: Fill in the blank/s: True or false: A polynomial function is continuous at every number ____________...

A: A polynomial function is continuous at every number is True. f(x)=anxn+an-1xn-1+an-2xn-2 ..............

Q: Mathematical methods

A:

Q: Also choose graph thanks

A:

Q: If y = x(4x + 2), find y'

A: Explanation: Given that, y=x4x+2 differentiate with respect to x y=x4x+2We know that, ab=eblnaSo,y=e...

Q: What is the differential form for the total surface area of a frustum of a cone with l as the slant ...

A: The curved surface area of a frustum of a cone is: