10. Z+Z = |z| O True O false

Q: 2. √√√x + y + xy = 21

A: We have to find out derivative

Q: 1. The diagram shows a regular hexagon. Write a single vector that is equivalent to each vector…

A: Triangle law

Q: Write the form of the partial fraction decomposition of the function. Do not determine the numerical…

A:

Q: use differentials to approximate 1. 64 .05 2. e^0.99 3. square root of 101 6 the value

A: Solution is here

Q: -1 1 3 Evaluate the following limits. Write dne if the limit does not exist. lim f(x) = x-1 lim f(x)…

A: We have to find the limits.

Q: The length of a rectangle is given by 4t - 3 and its height is 2t, where t is time in seconds and…

A:

Q: Find the area bounded by the curves y2 = 4x and y + 2x = 12.

A: Topic = Area

Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

A: topic - equation of ellipse

Q: S x dx √16-9x4

A: Topic = Integration

Q: Find y' if y = 5x + 2 using the limit definition derivative

A: Y'  or 1st derivative is evaluated using limit.

Q: Consider the function f(x) = 2x + 1. Find its derivative

A: The limit definition of derivative is: For a function f(x), the  derivative of f(x) is defined as:…

Q: The Laplace transform of e erfc(√i) is? 1 a) √s (s −1) 1 √s (√s-1) 1 √s (s +1) 1 √s (√s +1) b) c) d)

A: As we know that erfcz=1-erfzand laplace transform of error function erfz=1ss+1and also we have the…

Q: 1 +x² √x (+/- + x² Given f(x)=x√x + x and g(x) - = f(x) (exe-1-x-3/4+) (² + x² g(x) √x)² 1 ° = [e…

A:

Q: (a) fo dx √√3x-x² 2

A:

Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t² +4t+4. Find the…

A: Given, s(t)=5t2+4t+4We know that v=dsdt

Q: 3. (x² - y²) dx + xy dy = 0

A:

Q: 8. Evaluate 2 (9x² - 10x + 6)dx

A:

Q: lim (3x - 5) x--1

A: limx→-1(3x-5) = limx→-13x - limx→-15  [ lim(a - b) = lim a - lim b ]                         = 3…

Q: Consider the following function: Step 2 of 3: Find f Answer f(x, y) = (4x + 3y)

A: I have stated the used formula and the property in the solution

Q: 2. What details are used in order to analyze the polynomial function and analyze to sketch the…

A:

Q: The general solution to the second-order differential equation 5y" = 8y' is in the form y(x) =…

A: Given,5y''=8y'That is5y''-8y'=0

Q: If f is continuous on [a,b], and f(x) > 0 then (A) True B) False √√° √F(x) dx = ₁ √ [F(₂ a - f(x) dx

A:

Q: X = (y3/2/3) - y1/2 from y = 1 to y = 9

A:

Q: 3dx 2. S (x+2)√x²+4x+3

A:

Q: Let f(x) f'(x) find the values of A = B = C= D = 1 3x4+x3 + x -5 x3 -5.5 - X + 13.2 = (2AB-1 Given…

A: The given function is: f(x)=3x4+x13+x-5x3-x-5.5+13.2

Q: 11. x² +1 Find +3x+1 -dx

A:

Q: Find the transition points. f(x)= x(11x) (Use symbolic notation and fractions where needed. Give…

A: Given problem:- Find the transition points.   f(x)= x(11-x)1/3 Find the intervals of…

Q: 10dz 4z³-4z²+5z

A:

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: solution:-f(x)=6x3-11x2+1f'(x)=ddx6x3-11x2+1=18x2-22xf''(x)=d2dx26x3-11x2+1=36x-22

Q: S dx (1+x) √x

A: Given,I=∫11+xxdxSubstitute  u=x(u2=x)Differentiate du=12xdx2du=1xdxThereforeI=∫21+u2du

Q: A sort of "decay" Suppose that newly-baked cupcakes are taken out of the oven which is set at 100…

A:

Q: (ylny − e¯xy)dx + ( + xlny) dy = 0 -

A:

Q: a. x K=I 34 K!

A: We can solve this as follows:

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = -6x²-3x - 2 on the…

A: Solution-

Q: 1. what is the basic concept of a vector? How is this vector calculated? What techniques s/rules can…

A: A vector is a quantity which have direction as well as magnitude.

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

A:

Q: The graph shown is the 1st derivative of function where its domain is R 2 -10 -8 -6 पि A value where…

A:

Q: For what values of x does the series below converge? What is its sum? What series do you get if you…

A: We have to find the sum and derivative of the series.

Q: If w=2x² +2y+3z + cost and x-y=t, find the partial derivatives below. w aw Əw a. b. C. dy dy əz X, Z…

A:

Q: Find the critical point and use the First Derivative Test to determine whether it yields a local…

A: Given :f(x)=-6x2+2

Q: Find the critical points of f(x) = x³ - 21x² + 144x and use the Second Derivative Test (if possible)…

A: The given function fx=x3-21x2+144x

Q: Let f(x) = 5x4 - -1/2+8√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph…

A: Given that            function f(x) = 5x4-2x2+8x-3     Now             f'(x)    =  ddx5x4-2x2+8x-3…

Q: Find the derivatives of the given functions using the rules of differentiation. 1. Supposed that you…

A:

Q: 2xydx +(1+x²) dy

A: 2xydx+x2+1dy=0

Q: Is it possible to solve all the points with Finding Domain and Range 1) y sin x 2) y = cos x J= tan…

A: Solution is given below

Q: 2 Let f(x) = 5x4 -/+8√x-3. a) Find f'(x). (b) Find an equation for the tangent line to the graph of…

A:

Q: Use power series operations to find the Taylor series at x = 0 for the following function. 8x ex The…

A: Taylor series function y=8xex at x=0

Q: 3- Find the length of the curves in Exercises 1-4. x = (y3/2/3) - y¹/2 from y = 1 to y = 9

A:

Q: Solve the differential equation y" - 2y + y using the method of variation of parameters. ਜ

A: