Find the derivative of each of the following: a) f(x)=√√x²-8x b) y = sin( 3x 2x-1, c) f(x) = -2 sin² (2x)

Q: Find the absolute extrema and where they occur for f(x)=5e3x -47x  on [−2,3].  Give both the exact…

A:

Q: Find the Maclaurin series and find the interval on which the expansion is valid.f (x) = ln(1 − x^2)

A: The given function is fx=ln1-x2 Maclaurin series is derived from Taylor series about the point 0.…

Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: We are authorized to answer three subparts, Since you have not mentioned which part you are looking…

Q: 10. What's the standard form of the equation of the following hyperbola? 6 5+ 4 3+ 2+ -6-5-4-3-2-1…

A:

Q: Find the derivative of the function. y=[√x/x+1]

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 cos(0) - 1 de

A:

Q: To multiply 7x*(4xs – &r? + 6), use the property to multiply each term of the by the monomial…

A: Given product of polynomials is Px=7x34x5-8x2+6

Q: The graph that follows is of a polynomial function. (i) What is the minimum degree of a polynomial…

A: We know that degree of polynomial is nothing but number of turning point +1. Here graphs turn two…

Q: Solve for the inverse Laplace transform of the following functions in f(t) form.

A: Concept: The transformation into a function of time is what the Inverse Laplace Transform is. F(s)…

Q: The function f(x,y) = 2x + 2y has an absolute maximum value and absolute minimum value subject to…

A: Maximum value is =16/5

Q: Find all solutions to 2π cos(7t) cos(t) = sin(4t) on 0 ≤t< 3 Give your answers as a list separated…

A:

Q: Express −4 iª -4 i in the form [a, b]:

A: The vector is given by -4i→ To evaluate: The vector in the form a, b.

Q: 3y 01) 4 +3/2 +C 2) 3y² =4x³/2+C 3) 9y² = 2x³/² +C 4) 9y² = 4x³/2 +C 5) Both A and D

A:

Q: Consider the two equations y = 2x + 1 and y = x² - 4x + 9. A. Without computing any sample xy-pairs…

A: Given 1. y=2x+1 2. y=x2-4x+9

Q: Suppose that a point P has, respectively, spherical coordinates, rectangular coordinates, and…

A: The coordinates of point P is given as , Rectangular coordinates = x,y,z Spherical coordinates =…

Q: Function 7. y = C₁ sin x - C₂ c COS X Differential Equation y" + y = 0

A:

Q: For f(x) = 3 + 7x - 19(x^2) + 2(x^4) find the maclaurin series (Taylor series about x =0) Please do…

A: The Solution is given below:

Q: Find the inverse transform of the given function of s. f(t). 5 B f(t)- 2³ = © f(t) = -5/4 D f(t)=14…

A:

Q: The following family of DE's depends on the parameter a. Sketch the corresponding bifurcation…

A:

Q: Suppose u and v are functions of x that are differentiable at x=0 and that u(0)=2, u′(0)=3, v(0)=7,…

A:

Q: Find the inverse transform of the given function of s. F(s) = B A -u²₂ (1) - 3s e D E S Ⓒ u ₂ (1) 3…

A:

Q: If a + 0, the degree of ax"y" is

A: Degree of a term is the highest power of variable if term has only one variable and degree of term…

Q: 7 L+₂hε =₂ h ₁₂x-hubt E C ६

A:

Q: Population Growth In 1960 in an article in Science maga- zine, H. Van Forester, P. M. Mora, and W.…

A: The projection function of population is given by: Pt=1.79×10112026.87-t0.99 This projection was…

Q: Place the correct symbol, > or <, in the shaded area between the given numbers. Do not use a…

A: Given data, a) 312 and 313 b) 7+18 and 7+18

Q: Obtain the Laplace transform of the function: 27-57 488 sinh (3)=0 : 701,f'(0)=0,f"70] ft88 ;

A: First take laplace transform on both side and solve by putting condition given as f(0)=1,  f'(0)=0…

Q: .. Find the sum of each series. 1 + ਨੇ + 1 2 1 1 + 4 2² 4² + 1 2³ 4³ ਕਿ 1 4*

A: We have to find the sum of the given series. According to guidelines we can solve only one question.…

Q: 10. Given f (x, y, z) = x³y²z5, please compute 87 f 8x²8y6z4

A: From the given data we have to find the value of  the partial derivative.

Q: determine the domain and range of the function

A: Domain: The domain of a function is the collection of all conceivable values that can be used as…

Q: A simplified polynomial that has exactly one term is called a/an…

A: Monomial : A polynomial that has exactly one  term is called monomial.

Q: Find the solution of the differential equation y" − 9y' + 18y = 0 - satisfying the initial…

A:

Q: Find two unit vectors orthogonal to both (8, 6, 1) and (-1, 1, 0). (smaller i-value) (larger…

A: We have to find the two orthogonal unit vectors to given vectors.

Q: Given: 2.Circles tangent to the x-axis. Answers: 2. [¹+ (v)²] = [W²+¹+ (v)³]}

A:

Q: Find the inverse transform of the given function of s. 5 F (s): 4 A f (t) = t³ 5 B ³ f(t)= 24 Ⓒf(t)…

A: We know  L-11sn+1=tnΓn+1 Here Γn+1=n! and n!=nn-1n-2........3.2.1

Q: Determine the slope of the tangent to the function f(x) = = 1 √x-1 at x = 5. (Hint: the a value is…

A: The function is given by fx = 1x-1 To evaluate: The slope of the tangent line to  the function fx at…

Q: Find the inverse transform of the given function of s. F (s)- A B C D E 1 2s + 16 f(t) = e-8t f(t) =…

A: Given the function: f(s)=1/(2s+16)

Q: If f(t) = COS f'(t) = 1 (6t), find f'(t). Use exact values.

A:

Q: 1) Solve the following inequality: a) using sign diagrams, b) Graphically. Show all diagrams and…

A: We need to find out the solution of the given inequality using sign diagrams, and graphically also.

Q: In Exercises 125-134, solve each equation. 125. 25 - [2 + 5x – 3(x + 2)] = -3(2x – 5) – [5(x – 1) –…

A: Given data:- 125) 25-2+5x-3(x+2)=-3(2x-5)-5(x-1)-3x+3 126) 45-4-2x-4(x+7)=-4(1+3x)-4-3(x+2)-2(2x-5)…

Q: 5. If y=5x²-3x + 10, give y'(-1)

A: We have to find the y'(-1).

Q: At a price of $70 there is demand for 1020 items and a supply of 630 items.  At a price of $130…

A: Concept: At the price of $70 the demand is of 1020 items and supply is of 630 items. Also the price…

Q: Integrate: /25 - x8 √√25 x5 - dx

A:

Q: Find a unit vector that is orthogonal to both i + j and i + k.

A: this is the question of vector  here lets assume that  a = i+j = &lt;1,1,0&gt; b = i+k =…

Q: In Exercises 135-136, list all numbers that must be excluded from the domain of each rational…

A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A:

Q: Simplify:  (z2y''+zy'-1)y - z2(y')2 = 0

A:

Q: Find the first and second derivatives. r= 3

A:

Q: ( na Applying this rule to the second of our two derivative gives us th dx 9ex + 2- 2 (x-1/3) = 9e*…

A:

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A:

Q: The curve y=ax2+bx+c passes through the point ​(1​,

A: