x +y' pute дх Should the Quotient Rule be used to compute y +1 ay y +1

Q: 8) A functrin fux) io de finied as fohons, ex'-18 for * +3 x - 3 for x= 3 Find the value of k so…

A:

Q: Fina aly for y = 3x V3-x4

A: we have to find dy for given y

Q: find I of implicit function sec""cImcy)- In(8**) when yoo

A: 9999

Q: 3. tet-lu(t – 1) 4. t cosh 2t 5. (t – 2)²et-!u(t – 2) 6. te-'u(-t)

A: To find the Laplace transform of the given functions.

Q: Using the Constant Multiple Rule InExercises 25–30, complete the table to find thederivative of the…

A: The given function is, y=5x2-34. The objective is to find the derivative of the function by using…

Q: if -1Sxくo -1くxくo xtl いーx if we suppose fx +2)=f(x) Vx find the fourie sum of the funchon and %3D

A: We will find fourier series for periodicity of given function and then will find coefficients .

Q: -x²+5 < f (x) < x+1 2

A:

Q: 2 - ) at x = 4 1+ x)

A:

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 4e* on the interval [0,…

A:

Q: : Jhat is he nodies onuegence

A:

Q: The area bounded by the curve y 7x and the lines x = 9 and x = 42 above the x х — ахis - is_ O…

A:

Q: Find linearization L(x) of f (x) = Vx at a =4 and use to approximate 7.8.

A:

Q: 5. Differentiate using quotient rule: x+2 y x-2

A:

Q: 4) Find the intervals where the following function is concave down: ππι y = 2sin² (2x) - 4x, x € -

A:

Q: Construct an example of an non-homogeneous ODE that cannot be solved using method of undetermined…

A:

Q: (b) Verify Mean Value Theorem for f(x)= 3x² – 7x – 4 over the interval[–1,4] .

A: Given: fx=3x2-7x-4

Q: Approximate using differential √627( answer in fractional form)

A: Let y=f(x)=x4where x=625 &amp; ∆x=2

Q: Q. Use first principle rule and proue that secn tene if y = secx %3D

A: Note  your Question is wrong because right Question is  y=sec(x) then y' = sec(x)tan(x)

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

A:

Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Given, y=(x+2)/(x-2) Then,dy/dx will be

Q: B. %23 Explain how you can prove that LA LC.

A:

Q: Explain why the two forms of Green’s Theorem are analogs of theFundamental Theorem of Calculus.

A:

Q: Draw the y = sinx and y = 1- x² on the domain -2 <x<2 and filling the between the funtions.

A: the filling part is given below-

Q: . Find and classify all the critical points of f (x, y) = 7x – 8y + 2xy – x² + y³.

A: (2)  Given data curve is  f(x,y)=7x-8y+2xy-x2+y3.............(1) then fx=7+2y-2x    &amp;…

Q: in of (fo f)(x). (Enter your answer using

A: We have to find the following conditions according to the given information

Q: what is the quadratic polynomial for the function f(x,y) sin(xy) + cos(x/y) at (pie/4, 1) (show…

A: We will find out the required value.

Q: 2. Let f(x) = r³, 0, if reQ if r ER\ {Q} Show that f'(0) = 0.

A: We have given a function ,  fx = x3 , x ∈ ℚ0 , x ∈ ℝ \ ℚ We need to show that , f'0 = 0 We know the…

Q: plot Y funetion of as over Hhe Peenge ☺.0l <*< l00.

A:

Q: Determine the concavity of f (x) = x* 6x2 12 x + 2. O a. concave downward (-o, 3) and concave upward…

A: Given,           The function is fx=x3-6x2-12x+2.To find: The concavity of the function.We know…

Q: when that this 1x² + y² Shothathis sho (x, y) (0,0) and f(0,0) function is continous at (0,0)

A:

Q: Find the point on the curve h(x)=x2−8 that is closest to the point (−18,−8). Enter your answer as an…

A: If the point on the curve h(x) = x2 − 8 is closest to the point (−18,−8), then their distance will…

Q: Let f(z) = 5 + /4z – 9. Find f-(z). %3| | f(2) - %3D

A: A function is said to be invertible if it is one-one and onto.

Q: Integrate using Simpson 3/8 Rule with 3 panels from x = 2.0 to 6.0. Solve the relative true error.…

A: "Since you have asked multiple questions, according to guidelines we will solve only the first…

Q: Suppose that f(x, y) = yVx³ + 1 on the domain D = {(x, y) | 0 < y <x < 3]

A:

Q: D2 – 4)y = 10e-3x + 6e2x

A: Given: D2-4y=10e-3x+6e2x The auxiliary equation is: m2-4=0 Now solve; m2-4=0m2-22=0m+2m-2=0m+2=0 or…

Q: Show that div (r x a) = 0

A:

Q: on the interval 0sxs 2. Note: Water weighs 62.4 Ib/ft3. 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 -2 -1.5 -1…

A: Given y=15x2

Q: 4- х, хS0 10) Determine if the function y(x) =- 3x, is differentiable at x = 0. X>0

A:

Q: 2. Using both a picture and words, explain the Squeeze Theorem.

A: Given : The Squeeze Theorem.

Q: An F-curve has df = (8, 19). What is the number of degrees of freedom for the a. denominator?b.…

A: Solution:Given that,An f curve has d.f= (8, 19)

Q: How do I use the second derivitive test to find the points of inflection and discuss the concavity…

A: Let's proceed to find f'(x) and f''(x) and then find the point of inflection by equating f''(x) to…

Q: <plain how to use the evaluation part of the Fundamental Theorem of Calculus to mpute ſ, (3r² – 5x +…

A: Use fundamental theorem of calculus

Q: Differentiate, and make sure to show all your work: 3z ²-2 Y= 5 cosh z

A: We have to differentiate the given expression, y=3x2-25cosh x Apply the quotient rule for…

Q: 2- Find ( for: y= esin-1 x

A: first derivative of function

Q: Identify the removable discontinuity. f(x) =  x3 + 2x2  over  x + 2

A: Given query is to find identify the removable discontinuity.

Q: Find domain and range of the funetion f(x, y) In[e-x' -y'1

A: The ln function is undefined for negative arguments. This will ensure that argument is positive. So…

Q: Use the linear approximation of f (x) = /x at x = 9 to estimate the value of /9.018. Do not round…

A: Given:      f(x) = √x     x = 9

Q: ne integral. 11 3 √x + 5dx = Please enter your answer two digits format(For xample: 3.14)]

A: