5. а и д2u 02u дх2 + дуг + а и 02u дz² = 0

Q: Show that the differential equation x³y² + x(1+yº)y' = 0 is not exact, but becomes exact when…

A: To show that the differential equation x6y7+x1+y6 y'=0 is not exact, but becomes exact when…

Q: 1 *{{37² +3=6} S

A:

Q: The area of the region to the left of the parabola x=2y^2, to the right of the y-axis, and between…

A:

Q: If My - N N equation = Q, where is a function of a only, then the differential has an integrating…

A:

Q: 3. Determine the point(s) where the function y = ₁ , has a maximimum and/or a minimum. Find BOTH…

A: Determine the point(s) where the function below has a maximimum and/or a minimum. Find BOTH…

Q: II. Consider the points P(1,0, 3) and Q(5, 2, -1) and the line 1: x = -7-2t y = t 2 = 9+t 1. Find…

A:

Q: Question 4 of 8 View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is…

A:

Q: 4 ANSWERS Screenshot (1603) y + 4y = 1²-t +7. Screenshot (1597).png Determine the values of r for…

A: Need to find out the solution and also the values of r

Q: Find the equation for the slope of the tangent line to the curve below at any point (x,y). 2x + 5y =…

A: Given, 2x+5y=3y

Q: Show that the sequence defined by 1 a₁ = 1 an is increasing and an < 3 for all n. Deduce that {an}…

A:

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then £¹{F(s)G(s)} = f(t)g(t). True False

A:

Q: Determine whether the series Σ=1 (Limit Comparison Test) 2n²+3n √5+n5 converges or diverges.

A: Given :∑n=1∞2n2+3n5+n5

Q: Find the Wronskian of the functions f(t) = et sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

A:

Q: = Let f be a function defined for t≥ 0. Then the integral L{f(t)} . - fotº e- 0 provided that the…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: 4). Use the Integral Test to determine whether the sum converges. ∞     n = 1 n 1 + n2

A:

Q: Video Example < EXAMPLE 1 Evaluate F. dr, where F(x, y, z) = -4y²i + 3xj + 5z²k and C is the curve…

A:

Q: Use the formula k(t) k(t) = TEREST {|r' (t) × r"(t)|| ¡|r' (t)||³ r(t) = esti + e-tj to find (t).

A: The given curve rt=e5ti+e-tj

Q: Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the…

A:

Q: Given tha

A: Given :  g(x)=2x+10x≤-3x2-5x&gt;-3   for the function to be continuous

Q: If an> 0 and Σ an converges, then Σ(-1)"an converges.

A: We have to check wheather it is true or not

Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

A:

Q: Differentiate the following functions. Show complete work f(x) = (tan x)*² b) _g(x) =…

A:

Q: 6. Find (0) for a solution (x) to the initial value problem (secx)dy = 2√y+Idx; (n) = 3 2 3

A:

Q: Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6 in (x) Find y"(x). y"(x) = 6…

A:

Q: Use graphs to evaluate 2π S 2r S 0 sin x dx = cos x dx = 2t S 0 2π sin x dx and cos x dx. 0

A: We will find the required.

Q: 3. Pedro walks at te speed of 40 meters/min from the school to home, by taking the longer route of…

A: Pedro walks at the speed of 40m/min from the school to home,by taking longer route of 100 m to the…

Q: Which of the following is true when a plane intersects a cone to form a parabola? The plane slices…

A: The objective of the question is choose the correct option to make a parabola

Q: Answer true or false. F(s) = s²/(s² + 4) is not the Laplace transform of a function that is…

A:

Q: The partial sum-3+ (-12)+(-48) ++(-49152) equals > Next Question

A: Topic = Series

Q: Given AB www. BA= and [2 1 2 2], find AB and BA. Hint: Matrices need to be entered as [(elements of…

A: The answer is given below:

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral Lif(t)}…

A:

Q: Find div F if F(x, y, z) = (x² + y)i + z²j + (eY - z) k.

A: Our Aim is to find the value of div F if F(x,y,z)=x2+y i +z2 j+ey-zk -(i)Let  F(x,y,z)=x2+y i +z2…

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A:

Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = 4 4π√ 16x² - 1 :or 1 xV 16x²-1 2

A: Topic = Derivative

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Break the limits according to f(t)

Q: Determine the points of discontinuity for the following. 2x+5 f(x) = X-7x+6

A: F(x)= (2x+5)/(x^2-7x+6) Factorise the denominator F(x) = (2x+5)/(x-1)(x-6) Denominator can not be…

Q: 1 1 0.104 = x Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) =…

A: Solution : Given that

Q: A deposit of $9,000 is made in an account that earns 5% interest compounded quarterly. The balance…

A: The given data is: The balance in the account after n quarters is: An=90001.0125n

Q: Evaluate the line integral along the curve C. (3x² + y²) dx + 2xydy, C: x = cos f, y = sin 1, 0≤1≤ 2…

A: Given integral is ∫C3x2+y2dx+2xydy , where curve C:x=cos(t), y=sin(t), 0≤t≤π2 We need to find the…

Q: Evaluate the following limits. Show complete work x² - 4 X-2 X-2 a) lim b) lim (√x²+1-x) X→∞

A:

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s))} = f(t)g(t). True False

A:

Q: Find the critical numbers of the function f(x) = -x55x¹ +5x³ answers to three decimal places. X = X…

A: Given,            fx=-x5-5x4+5x3-9To find : Find the critical numbers of the function

Q: 35. Choose the integral which represents the area between two curves given on the picture. 2- 1…

A: To choose the integral which represents the area between two curves given on the picture.

Q: Fill in the blank. (Enter your answer in terms of t.) [ L-1) 1 5²-2) =

A:

Q: Find the area inside the oval limaçon r = 6 + sin 0.

A:

Q: Find the minimum value of the function f(x) = 2x² +18.3x + 45 to the nearest hundredth. Answer:…

A:

Q: ll is thrown vertically upward from the top of a building (when t-Oseconds). It has a height functi…

A: Topic:- application of derivatives

Q: 7). but you have not said if the diverges test applies or not . please xeplain the final solution ?

A: This question can be solved using the concept of divergence test.

Q: -4 -2 ora y 8 6 4 2 -2 f(x) = |x| 2 4

A: