Simplify the following power functions to the form y=kx^p, where k and p are some numbers. (a) y=(30)/sqrt x  p ?  (b) y=(4√x)^5 p?

Q: ind the derivative. FA h Cx) = 2. (5x*+4

A: To find  The derivative of h(x)

Q: Suppose that y varies directly as the cube root of x, and that y=70 when x=6859. What is y when…

A:

Q: 2) over [1,3].

A:

Q: Solve the equation for x. arctan(2x − 5) = −1

A: Given: arctan(2x − 5) = −1 To find: Solve the given equation for the value of x Calculation:…

Q: |(9 – x²) dx

A:

Q: y varies directly as the nth power of x can be modeled by the equation________ .

A:

Q: Given So (x) = exp{- (Ax + Bx² + D* – } In D Calculate |10930 ƒor t = 10 round to 4 decimal places…

A: t|10q30 is the probability that a life aged 30 years will survive the next t years and will die…

Q: Evaluate f -dx is equal to x In 3x

A:

Q: Evaluate the function shown

A:

Q: If a rock falls from a height of 33 meters on Earth, the height H (in meters) after x seconds is…

A:

Q: What are y (l00) and y (101) for y = cosh x?

A: Given: y=cosh (x)

Q: Use symmetry to evaluate the followingintegrals.

A:

Q: The management of an oil company estimates that oil will be pumped at a rate given by…

A:

Q: Jane has a part-time job on campus mowing lawns. If it takes her 2- hours to mow a…

A:

Q: Q2: Gives the values of sinhx, coshx ,and find the values of the remaining five hyperbolic…

A: Since, we sinh(x)=43Since, we know that cosh2 (x)-sinh2 (x)=1⇒cosh2 (x)-169=1⇒cosh2 (x)=169+1⇒cosh2…

Q: Positive is 5. t00 maxim um

A: Given, to find two positive number whose product is 100 and sum is maximum. Let the two positive…

Q: Find th

A: We know that the length (s) of an arc of a circle with radius r is given by: s=rθ where θ is the…

Q: How many real roots does the function f(x) = x 9 - 20x + 1 have? Find their approximate locations.

A: The best way to locate the number and nature of real roots will be to plot the equation.

Q: L(x5 – 4x3 + 2x) dx

A: See attached file for a step by step explanation.

Q: Approximate the expression in the form a without using e. - 2x e - 2x e %3D (Round to four decimal…

A:

Q: for which values of t

A: For span to exist, determinant of Matrix should be equal to zerom

Q: d Evaluate the derivative: * S (3x² – 2x +1) dæ. -4

A:

Q: Find the first three terms of By substituting x=, find the appr6x value of V29 correct to three…

A:

Q: Q4): Evaluate: L SEL(a + 1) dzdydx ;a = constant

A:

Q: In AXYZ, what is the length in inches of XY? F 6 in.

A: Here we have to find XY=?

Q: If f(x)= ∫ (top 16, bottom 9) (-x^(-1/2)+5) dx. Enter your answer as an exact fraction of necessary.

A:

Q: d (cosh x) dx Vx2

A:

Q: Rationalize the denominator: Va A where В The result can be expressed in the form A =

A: The rationalization of the denominator is the elimination of any radical expression from the…

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A:

Q: Integrate sqrt(2) to 3: 1/(t^3sqrt(t^2 -1))

A:

Q: Find the value lf x that makes DEF XYZ

A: Two triangles are said to be similar if their corresponding angles are congruent and the…

Q: Use FTC I to show that x" dx = 0 if n is an odd whole number. Explain graphically.

A: Given: show that ∫-11xndx=0 if n is an odd whole number we know that  ∫xndx=xn+1n+1+c…

Q: Find the antiderivative of sin(square root of 5x)

A: Consider the given function:

Q: メ+4 dx x²+4

A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

Q: Solve for x. Round answers to four decimal places. In(x) = 4

A: Any natural logarithmic term ln has the base e.   Also, the equation ln(a)=b can be interpreted as,…

Q: S 23x26 + 35 + x2-16 dx x-4

A:

Q: Express the following in standard form. Show your work using the Equation Editor Tool. (-8+ 2i)?

A: To solve: -8+2i2

Q: What is the approximate value of x in the diagram below?

A: Given: ∠B=90°∠A=25°AC=18  cmBC=x  cm

Q: Find the value of cosh²x - sinh²x a. e b. 1 C. X d. 3

A: Substituting the formulas of sinhx and coshx in the expression

Q: Solve for x. (Round your answer to three decimal places.) In x = -6 %3D

A:

Q: 1. How many cycles would there be in the graph of y = sinx, over the domain Osxs 1080? What about…

A:

Q: Q1/B: Evaluate: (a) tanh-1 0.75 and (b) cosh-1 2.

A:

Q: Q1: what is on (3x) SI2 dx x2

A:

Q: too dx what can you deduce about .4 x* +2x+6

A:

Q: how that 1 dn v2

A:

Q: y varies directly as the nth power of x can be modeled by the equation

A: Giveny varies directly as the nth power of x can be modeled by the equation

Q: In Q1, Sin e = 7 25 2. In Q1, Tan oo

A: 1. sin θ=7252. tan θ=3