4x-3 2. Determine the interval over which the function is continuous. x+4

Q: 52 Question 5 If csc(x) = 3, for 90° < x < 180°, then sin(x/2) = = cos(x/2) = tan(1/2) = Upload…

A:

Q: O Prove that the function f(x, y) = (x² + y²)e-(x²+y²) has infinitely many critical points and…

A: Prove that the function  f(x,y)=(x2+y2)e−(x2+y2) has infinitely many critical points and classify…

Q: Solve π сах 1- / Sea costand x 2- π -πL {"e" -J xd ax sin(x) dx

A:

Q: helppp

A: Step 1: Region Interpretation The double integral: ∫01​∫02x​2ysin(πx)dydxrepresents the area in the…

Q: == 1. A separable differential equation can be written in the form hy) = g(a) where h(y) is a…

A: For (a) y' = -1/3, we can rewrite it as dy/dx = -1/3. This is already in the form h(y) = g(x) where…

Q: - | العنوان For the volume of the region in the first octant shown in the adjacent Figure. It is…

A: For the iterated integral dz dx dy, the limits of integration are determined by the boundaries of…

Q: The correct answer is C Could you show me why

A: Therefore, the correct answer is (C)Sf​(0)=2π​.

Q: Could you explain this using the formula I attached and polar coordinates

A: Approach to solving the question: Lets Solve this question By Using Stokes' TheoremStokes' Theorem…

Q: 4. Su Write out the first four terms of the Maclaurin series of f(x) if f(0) = -9, f'(0) = 4, f"(0)…

A: Step 1: The given values:We are provided with the following…

Q: The final answer is 8/π(sinx) + 8/3π(sin 3x)+ 8/5π(sin5x)....

A: Writting the first few terms,  f(x)=π8​sin(x)+3π8​sin(3x)+5π8​sin(5x)+7π8​sin(7x)+⋯

Q: 2. f(x) = x³-3x² +4 Find all relative extrema, inflection point, and the intervals of concavity 5 3.…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 1. The parametric equations x = u, y = u cos v, z = usin v, with Ou≤ 2, 0 ≤ v ≤ 2π represent the…

A:

Q: Find the general solution of the given differential equation. (1+x)dy/dx - xy = x +x2

A:

Q: the answer is A, could you explain how using STOKE'S theorem

A: Let's See Solution using Stokes' Theorem Step 1: Stokes' Theorem StatementStokes' theorem…

Q: Is the function f(x) continuous at x = 1? (z) 6 5 4 3. 2 1 0 -10 -9 -7 -5 -2 -1 0 1 2 3 4 5 6 7 8 9…

A: *The function f(x) is continuous at x = 1-&gt; This is the correct answer since the function is…

Q: if I used the 8 rectangles to estimate the area under the curve, and found the value of △x when n=8…

A:

Q: 6. In this problem you will use the known power series for e* to evaluate an integral. a. Write (or…

A: Step 1: Step 2: Step 3: Step 4:

Q: The purpose of this problem is to solve the following PDE using a numerical simulation. { af (t, x)…

A:

Q: H.W Ex find the solution by using Bernoulli method of D.E? dy/dx4y = xy³/2

A: FEEL FREE TO ASK FOR CLARIFICATIONS

Q: Example: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]

A: Approach to solving the question:To find the Fourier expansion of  f(x)=eax in the interval [−π,π],…

Q: Question 3 (5pt): A chemical reaction. In an elementary chemical reaction, single molecules of two…

A: (a)  Rewrite the differential equation  (E)  with separated variables The given equation…

Q: Find the length of the curve x= from y = 1 to y = 2. 2 8y

A: Given the equation in the form x=f(y), the length of a curve from y=c to y=d can be found using the…

Q: #9

A: Step 1:Step 2:Step 3: Step 4:

Q: V. Consider the power series Σ (-2x-1)" (5)²+n n=1 1. Show that the series obtained when x = 2 is…

A: First, we substitute the given value of x = 2 into the power series. The power series…

Q: Car A starts from rest at t = 0 and travels along a straight road with a constant acceleration of 6…

A: Approach to solving the question: Detailed explanation:Examples: Key references:

Q: 7. The concentration of a drug in a patient's bloodstream h hours after it was injected is given by…

A: Detailed Explanation: Problem: The concentration of a drug in a patient's bloodstream h hours after…

Q: The Fourier sine series of the function is given by 3x f(x) = = if 0x5/3 5 if 5/3 x < 5 where bn b₁…

A:

Q: 1. Consider the sequence, an = In n³ In Sn²* a. Find the limit of the sequence or show that it…

A: Step 1 : 1 a. Find the limit of the sequence  Given that,                   an​=ln5n2lnn3​…

Q: Find the (exact) direction cosines and (rounded to 1 decimal place) direction angles of = (3,7,6)

A: Step 1: Step 2: Step 3: Step 4:

Q: Q2/ If x is directly proportional with (y) and (x = 8) when (y = 15), then what is (x) equals when…

A: Step-by-step Calculation:Given, x varies as y x is directly proportional to yThis means x = ky where…

Q: -6 -5 * 10 8 6 4 2 -2 -1 -2 1 2 3 4 5 6 -6 -8 -10- The function graphed above is: Concave up on the…

A: Concave up: the portion of the graph where it opens upwardWe see that the graph opens upward to the…

Q: If y = /R/cschx + cothx|, 2nd dy 3) ans. aus. dy: x^" [ x² + x^ (1+/nx)/nx] dx + 252 cosh + + C ans.…

A:

Q: Pls help me with the step by step solution

A:

Q: Find the gradient of f for f(x, y, z) = x2yz - xyz3.

A: The gradient of a function is a vector that points in the direction of the greatest rate of increase…

Q: 4. Evaluate the following integrals. Show your work. a) -x b) f₁²x²/2 + x² dx c) fe³xdx d) [2…

A: Step 1:Step 2:Step 3:Step 4:

Q: Example: Solve (x − 1)y" + 2y′ = 0 around x0 = 0. -

A:

Q: Taylor Series Approximation Example- H.W More terms used implies better approximation f(x) 4 f(x)…

A:

Q: Find the limit lim X-700 4 13x-15 3x4+x³-12

A: We find the limit of the given function:limx→∞​3x4+x3−1213x4−15​ Step 1: Identify the highest power…

Q: 6 5 4 3 2 1 -5 -4-3-2-1 1 5 6 -1 23 -2 -3 -4 -5 The graph above is a transformation of the function…

A: Step 1: Understand the Basic The general form of an absolute value function is: y=a∣x−h∣+k• h:…

Q: 4 3 2 -5 4-3 -2 -1 1 2 3 4 5 12 23 -4 The function graphed above is: Increasing on the interval(s)…

A: Step 1: Step 2: Step 3: Step 4:

Q: ex 5. important aspects. Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use…

A: Step 1: Given Function The function given is: f(x) = ln x where ln x (natural logarithm) represents…

Q: 1. The average value of f(x) = ✓ on [1,4] and instantaneous rate of change at x = 16 2. f(x) =…

A: If you have any problem let me know in the comment section.

Q: Problem 3. A two-dimensional system. Let (W)to be a one-dimensional Brownian motion. We consider two…

A: here is your explaination thank you feel free to ask doubts if any

Q: 1. Find the area of the region enclosed between the curves y = x and y = x. Sketch the region.

A: Step 1: Compute the points of intersection. Since y = x4 and y = x, then x4 = x. Transfer all terms…

Q: Find the value c in the interval [a, b] given by the mean value theorem for the function f(x) =…

A: Equation of the tangent line Graph

Q: i need help please and thank you

A: Step 1: Determine the region E based on the given bounds Range of x x = 0x = 1Therefore, x ranges…

Q: What is a solution to a differential equation? We said that a differential equation is an equation…

A: First, we need to differentiate the function s(t) = 2t^2 + t with respect to t. The derivative of a…

Q: Find the value of the following indefinite integral: (see image)

A: By completing the square on 4b2y2−24aby+27a2 we have=(2b)2y2−2(6a)(2b)y+27a2By comparing with the…

Q: 3 Calculate the integral approximations T and M6 for 2 x dx. Your answers must be accurate to 8…

A: 1. Understand the ProblemWe need to approximate the definite integral of ∫(x² + x) dx from 3 to 5…

Q: Given that the outward flux of a vector field through the sphere of radius r centered at the origin…

A: Given:The outward flux of a vector field through a sphere of radius r centered at the origin…