3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

Q: sec sec |tar xp xp Suea () 2asS

A: We put sec(π/x2)=u and differentiate both sides with respect to u .thus we get du and value of integ...

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t-15t me...

A:

Q: Find the coordinates of the point on the graph of y = x^2− x + 3 at which the tangent is parallel to...

A:

Q: Find the point on the graph of y = (2x - 1)^3 + 6 where the normal line is vertical. Thanks

A: We have to find the point on the graph where normal line vertical

Q: The position of the particle at time t is given by s(t) = t² – 16t + 63. The particle is moving from...

A:

Q: 24. Evaluate |Vædr and determine its particular antiderivative passing through the point (9, 19). - ...

A:

Q: cln /3 2e" Ve2a + 1 dx

A:

Q: A ball is thrown downward with a speed of 17 ft/s from the top of a 289-foot-tall building. After t ...

A:

Q: If s(t) = 4t3 – 6ť² – 24t + 8, represent the position of a particle traveling along a horizontal lin...

A: Let's find. 

Q: Exercise: Show that x vzdA = Qdx2 Therefore, we have x vidA+ V x VzdA = |_ Pdx1 + Qdra = ▼ × vdA = ·...

A:

Q: For Problems 27-30, sketch a possible graph of y = f(r), using the given information about the deriv...

A: Note that y'>0 then y is increasing and y'<0 then y is decreasing and y''>0 then y is conca...

Q: 1. Consider the following polynomial function graph of f(x) (use the letters as a guide) a) State th...

A: Graph of the function is given, we have to find the required values

Q: Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

A:

Q: derivative

A: We will find the derivative. 

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A:

Q: For items 1 to 4, identify which type of infinite series the given series belongs to. Then, use it d...

A: p -series ∑n=1∞1np and it is convergent if p>1

Q: Obtain the solution using Integrating Factors Found by Inspection y(x3y3 + 2x2 − y)dx + x3 (xy3 − 2...

A:

Q: An artificial wetland has been created by building an earth dam across a small creek, between the si...

A: I am attaching image so that you understand each and every step.

Q: A ball is thrown downward with a speed of 19 ft/s from the top of a 361-foot-tall building. After t ...

A:

Q: Find f(t). 1 (s + 8)3) f(t) %3D

A:

Q: Perimeter & Area Puzzler #10 Read the problem and solve. Show your work here: At the zoo a new habit...

A:

Q: 3. Let v(x, y) = (2x + y, x + 2y – 2). - a. Show that u is conservative by finding its scalar functi...

A: Follow step 2nd   According to guidelines we solve only first three parts. Thank you. 

Q: 22+22

A:

Q: Evaluate the Integral 6. J csc x sec x tan 2x dx ANSWER: T tan x+1 6. In + C tan x-1

A:

Q: tan A - sec A = sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 5t- 12t m...

A: Here, the given position function is: s(t)=5t3-12t Note that, the velocity is given by: dsdt And, th...

Q: Use any method to determine whether the series converge. 5 (a) E k=l Vk +1 This series cos () (b) > ...

A:

Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b....

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: Obtain the solution using Integrating Factors Found by Formulas y(y + 2x − 2)dx − 2(x + y)dy = 0

A: Find your answer below 

Q: Given: cosA= -4, sin x = - ,e is in the third quadrant, and x is in the fourth quadrant; evaluate co...

A: Given:- cosθ= - 4/5 , sin x = - 12/13, θ is in the third quadrant, and x is in the fourth quadrant; ...

Q: Find values of x, if any, at which fis not continuous. x – 1 + х2 — 1 3 f(x) = 1) Since the sum of t...

A:

Q: A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall building. After t ...

A: Given problem:- A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall bu...

Q: Find the local linear approximation L(x, y) to f(x, y) = x^3y^5 at P(2, 1) and simplify. (b) Find th...

A: Here, the given function is: f(x,y)=x3y5 and the given point is P(2,1).

Q: Solve by graphing. 4x − 5y = 27 y= 9 − 4x (x, y) =

A:

Q: tan e is equal to cot e

A:

Q: Simplify. Express in terms of tangent and/or cotangent. tan“ x+1 V cot? x+1 cotx tan 4x tanx

A:

Q: A normal line to a curve passes through a point P on the curve perpendicular to the line tangent to ...

A:

Q: Given the graph of g(x) on the right: -10- Apply the following transformations below using a transfo...

A: Required formulas: Reflection about the y-axis is : x, y → -x, y. Horizontal stretch by 2 is: x, y ...

Q: Find the partial derivatives fr(x, y), fy(x, y), and fry(x, y), where f(x, y) = 3 ln(xy) +2 tan x + ...

A:

Q: Evaluate the following limits using the limit theorems. Show your solutions. 1. lim (4x – 7) X-0 2. ...

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (- 1)k+1 k9/8 ...

A: The given series is  ∑k=1∞ (-1)k+1k9/8

Q: Determine whether a given function is homogenous or not homogenous: f(x,y) = tan^(2y/x)

A:

Q: Sketch at least 2 periods of the graph of y= −2sin(2x)−1 and find the amplitude, period, horizontal ...

A:

Q: Evaluate the Integral |4sin²0+4 sin 0 5. S de tan²0+1 ANSWER: 5. - [(2 sin 0 + 1)V4sin²0 + 4 sin 0 –...

A:

Q: Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y =...

A: Graph and tangent line

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t- 15t m...

A: Solution: Here  s(t)=8t 3 - 15t

Q: A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall building. After t ...

A:

Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

A:

Q: (х? + 2х + 3)(5—х) 10. g(x)= Зх + 2

A:

Q: Find the derivative of the function and evaluate the derivative at the given value of a. X = (x)4 ;a...

A: