Find the derivative of the following functions using the limit definition.  1. z =7y2- 11/y 2. f(z) = 2z4 − 4z2 . Find f′′(z).

Q: A straight river flows east at a speed of 8 mi/h. A boater starts at the south shore of the river an...

A:

Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

A:

Q: A cylindrical tank of radius 20 ft and height 3 ft is two-thirds filled with water. Find the work re...

A: This question can be solved using the concepts of application of integral.

Q: I'm currently not understanding how you would do this problem.

A:

Q: Solve the initial-value problem. 2хy' + у %3D бх, х> 0, у(4) %3D 16

A: Here, the given DE with the initial condition is: 2xy'+y=6x, y(4)=16

Q: Make a 1 rational equation problem involving 3 rational expressions with binomial term with solution...

A: We have to form a rational equation problem such that it contains 3 rational expressions and each ex...

Q: For f(x)=3|x| does the Mean Value Theorem apply on the interval [-2, 2] and why?

A:

Q: to す x²Y- X

A:

Q: answer

A: We can find the derivative of the fucntion F(x) which will give f(x) and then match the columns. 

Q: Use sigma notation to write the Taylor series about x = xo for the function. 10 In x; xo = 1 k =

A:

Q: Find if the following is homothetic: F (x,y) = x²y +y3 %3D 1. Yes, it is homothetic. 2. No, it is no...

A: topic -  homogenous funtion

Q: sap pls i'm having a hard

A: We will find the Taylor polynomial. 

Q: Write the letter of your answer on the space provided before the number. 1. It is well-defined colle...

A:

Q: Sz(t) = t³ ly(t) = t2 а. S#(t) = t cos(t) b. ly(t) = t sin(t) Jz(t) = t² l y(t) = t² с. S z(t) = t³ ...

A:

Q: 6. State the quadrant bearing and true bearing of the vector shown: Quadrant Bearing 25 W + E True B...

A:

Q: xy'= y + 2x'

A: xy' = y + 2x3xy'-y = 2x3Dividing by x;y' -1xy = 2x2 ...(1)Comparing with Bernouli's equation;y'+P(x)...

Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line ...

A:

Q: Solve the differential equation y'- xe"+y = 0

A: Given query is to find the solution of differential equation.

Q: fy re aris Find volume

A:

Q: The Differentiation to be made must be based on the following topics. - Trigonometric Functions G...

A: recall: ddx(sinx)=cosxddx(xn)=nxn-1 Example 1: y=sin2x differentiating using chain rule dydx=ddx(sin...

Q: Obtain the general and particular solution 4. xydx + (x² + y²)dy = 0

A: The given problem is solved below in detail.

Q: Evaluate the following integrals with solution

A:

Q: A tumor is injected with 0.7 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an ...

A:

Q: Calculating the Doubling Time 1. Find the Doubling Time for the function f(x) = 90(1.1)* using the i...

A:

Q: Express the repeating decimal as a fraction. 0.451141 41 41.

A: Given data

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: In this sequence, we will get the succeeding term by multiplying 1/17 to the preceding term. Such ty...

Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an an...

A: Given query is to find the value of indicated angles.

Q: Kelly wants to paint a picture of a 4in. x 10.5in. photograph that she likes. She bought a 12in. x 1...

A: Height and width

Q: f(x) Find g'(3) given that f(3) = -6, f'(3) = –4 , and g(x) = %3D %3D 8 Answer:

A:

Q: 5. 3xydx + (x2 + y?) = 0

A:

Q: Find the derivative of the function at Po in the direction of u. x- 5y g(x,y) = Ро(1, - 1), и%3 3і +...

A: To find the derivative of the function  g(x,y)=x-5y5xy+7 at P0(1,-1)in the direction of u=3i+4j=<...

Q: Until recently, hamburgers at the city sports arena cost $1.60 each. The food concessionaire sold an...

A:

Q: Given the curve in rectangular coordinates x² + 4x + y? – 8y = – 11 Find the parametric equations gi...

A: parametric equation of circle

Q: Fin d y' forsin X +Sin Y =A

A: Given query is to find the derivative of the expression.

Q: Use the difference a+1 – an to show that the given sequence {a, } strictly increasing or strictly de...

A:

Q: Determine whether the sequence defined as follows has a limit. If it does, find the limit. (If an an...

A: Let {an} be a real sequence and L be a real number then limit of this sequence {an} = L iff an tends...

Q: df 1 at the point x 51=f(3). Let f(x) = 5x° - 9x-3, x2 1.5. Find the value of dx df The value of at ...

A: f(x)=5x3-9x2-3, x≥1.5The value of df-1dx at the point x=51=f3

Q: Find the radius of convergence and the interval of convergence. (x – 3)*

A: Solution is written in below steps.

Q: Solve the triangle for which ZA = 30\degree, ZB = number. Do not use a decimal point or spaces in yo...

A:

Q: A. True or False. Write T if the statement is TRUE, otherwise write F. 1. The function f(x) = discon...

A:

Q: Find the derivative of the function without using the Quotient Rule. y

A:

Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle betwee...

A: 1) (1,2,3) and (1,0,0) angle cosθ = A*B/[A][B]            cosθ = (1,2,3)*(1,0,0)/(12 + 22 +32)(12 + ...

Q: Consider the function f(x) whose graph is given below. y= f(x) in Enumerate all discontinuities of f...

A: Here f(x) is not defined but at x=-2, x=3, x=5 .

Q: Use the formula for the binomial series: (1 + x)" = т(т-1) 2 2! m(m–1).-(m-k+I),k + + 1+ mx + %3D .....

A: The maclaurin series for 1+x7

Q: I Y=t5メPYove th y-2(21くるど

A:

Q: ,2 30. lim x In x

A: Topic = Limits

Q: Answer the following questions for the function f(x) = - 8x°- 36x +240x - 11. a. Find formulas for f...

A: derivative

Q: Select all vectors perpendicular to the vector (1,3, -5). (2, 1, 1) O (0, 5, 3) O (1, 1,3) O (4, 2, ...

A: Given query is to find the perpendicular vectors to the given vector.

Q: Find the domain of the function H(x)= 2x+3/33-4x

A: The domain of a function is the complete set of possible values of the independent variable

Q: 12 ソ+) X +20 x + 20 y+30 1. 1.

A: 1/12 = 1/(x+20) + 1/(y+80) 1/5 = 1/(x+20)  + 1/(y+30) now 1/12 = 1/(x+20) + 1/(y+80) in this  1/(x+2...