Find all antiderivatives for the following function. Check your work by taking the derivative. f(x) = 3 csc 2 x The antiderivatives of f(x) = 3 csc ² x are F(x) = |

Q: [e', 0≤t<3 Given f(t)=t², 3≤t<7. Express f (t) in term of unit step functions. Simplify your answer!…

A:

Q: Solve using the Laplace transform y"+4y=e'−u¸(t)e¹‍³, y(0)=0, y'(0)=0.

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

Q: find the foci, vertices, directrix, axis, andasymptotes, where applicable.y2=-x/2

A:

Q: (1 pt) Consider the following power series. 5(x+4)" 6nn6 n=1 The radius of convergence of this…

A:

Q: Please check this for me

A: Step 1:a).∑n=4 to ♾️ (-1)n√In(n)/n 1. Check if bn=√In(n)/n meets the condition of the alternating…

Q: Let a = (-3, 0, 4) and 6 = (0,4,-4). Find the projection of 5 onto ā. proj₁ = 25

A:

Q: C. Use the results from part b to estimate the total sales after 6 months: after 6 months the total…

A: Step 1:Step 2: Step 3: Step 4:

Q: Show all your work

A: Step 1:Step 2:

Q: The function f(x) = 2+5x + 45x¯¹ has one local minimum and one local maximum. This function has a…

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

Q: H.W 8.1 Evaluate each integral in Exercises 1-29 by using a substitution to reduce it to standard…

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

Q: Find an equation for the collection of points for which the distance to (15, 0) is twice the…

A: Let the locus point of the distance is (x, y). According to the question, a distance of (15,0) to…

Q: Suppose that f(x, y) = 7x + 7y and the region D is given by {(x, y) | -3 < x <1, -3 < y < 1}. D Then…

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

Q: 1:18 PM Mon May 6 AA Jordi Altamir webassign.net => 0/8 Questions Answered gradescope.com Submit…

A: Step 1: calculate n Step 2:find normal vector Step 3: Step 4:

Q: Please don't provide handwritten solution ....

A: Using Geogebra to help visualize the given region, we have:To find the volume of the region in the…

Q: Find the divergence of the vector field F div F =

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

Q: Find the steady state solution for the following heat equation with Dirichlet boundary conditions…

A:

Q: Please check this for me

A: Step 1: Recall some theorems  Step 2: Check convergence of series given in (d) Step 3:Check…

Q: Write the standard form of an equation of an ellipse subject to the given conditions. Endpoints of…

A: Step 1:Step 2: Step 3: Step 4:

Q: Evaluate x² + y² z dS where S is the part of the cone z² between the planes z = 2 and z = 5. x² + y²…

A:

Q: Two fire-lookout stations are 19 miles apart, with station B directly east of station A. Both…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find T4(x): the Taylor polynomial of degree 4 of the function f(x) = arctan(2x) at a = 0 (You need…

A: Steps

Q: 1 Given that = n x" with convergence in (-1, 1), 1 X n=0 x find the power series for with center 0.…

A: Step 1:Step 2: Step 3: Step 4:

Q: Find the Laplace transform of f(t) = (51)u(t)-e'u(t) using the table.

A: Please do rate if you understand.....

Q: Use Euler's Method with the given step size Ax to approximate the solution of the initial-value…

A:

Q: [-/3.44 Points] DETAILS MY NOTES LARCALC12 13.3.103. Əz at Show that the function satisfies the heat…

A: The given function is:z=e−tcos(cx​) Find the first partial derivative with respect to t.(Note that…

Q: Let (0, 2, 8) and a = (6, 1, 5). Compute the projection of b onto a. proja 6126 21 105 31'31' 31 E)…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please check this for me

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

Q: 13. Find the torque produced by a cyclist exerting a force of F = [45, 90, 130]N on the shaft- pedal…

A: Step 1:in vectors draw the diagram first we need to draw a diagram of the vector and the axes of the…

Q: Question 5 Consider the region S in the first quadrant bounded by the curves y = x² and y = 2x², y =…

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

Q: Find the degree 3 Taylor polynomial T3 (2) of function f(x)=(-3x+34) at a=6. T3(x)=

A: Thank you

Q: Suppose In (x+2y) = x². Use implicit differentiation to find the derivative of y with respect to x.…

A:

Q: 12t At the end of t years, the future value of an investment of $10,000 in an account that pays 9%…

A: Given data : Final amount (S) = $ 30000 Rate of interest (r) = 9 % = 0.09 Initial amount (P) = $…

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

A: ( if you have any queries please feel free to ask me).

Q: Consider the function f(x) whose second derivative is f"(x) = 9x + 9 sin(x). If f(0) = 4 and f'(0) =…

A: Step 1:​f′′(x)=9x+9sin(x).f(0)=4 and f′(0)=3​Step 2:​f′′(x)=9x+9sin(x)Integrate both side with…

Q: b) Is the following function continuous at x-1 and why? + 2x+1 (f*≥1 f(x)= 3x + 1 if x < 1 Q4: a) By…

A: QUESTION 4:(a) The mathematical problem about derivatives. The function to differentiate is…

Q: # 3 Verify the identity. 2 CSC x sec x-sec x+ Csc xcot x 2 xsec x cos xsin x= Which of the following…

A:

Q: Find the flux of the vector field F across the part of the plane z = 1+2x+3y above the rectangle…

A:

Q: Solve the initial value problem using Laplace transforms?

A: Given:- dy/dt + 3/125y = 0.48, for 0 &lt; t &lt; 10- dy/dt + 3/125y = 0.72, for t ≥ 10 Step 1: Solve…

Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x) = 2x²…

A: Given function is f(x)=2x2−9 Now, for the absolute maximum value and absolute minimum value of this…

Q: dont submit AI generated answer.

A: To find the direction in which the function decreases most rapidly at the point (0, 2), we can use…

Q: Question 4 Let S be the square with vertices (0, 0), (2, 0), (2, 2) and (0, 2), and C be its…

A: Step 1: Recall some formulas. Step 2: Given information . Step 3: Find divergence of the vector.…

Q: Consider the function f(x) = 9 x3 - 6 x5 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

A: If you have any questions let me know in comment box thankyou for your question.

Q: r = 10 cos (20) a. Is the polar equation symmetrical with respect to the polar axis? ○ A. Yes. OB.…

A: Step 1:Step 2: Step 3: Step 4:

Q: 4. Consider the graph shown below which describes the velocity versus time for a particle moving…

A: a) To find the position of the particle after 8 seconds, we need to integrate the velocity function…

Q: I am needing assitance with solving the equation in the attached image, 8.5.

A: Step 1: Step 2:

Q: ex = 1+ sin x = x COS X = - 1 - 38 3! х 1! + x2 + N8 x5 5! 2! - + 3! 28 7! x4 + 2! 4! (a) Write the…

A:

Q: A yo-yo is moving up and down a string so that its velocity at time t is given by v(t) = 3cos(t) for…

A:

Q: In using the technique of integration by parts, you must carefully choose which expression is u. For…

A: Steps

Q: Find the curl of the vector field F = curl F = 7 + J+ k

A: Given:F=&lt;yx6,xz2,zy5&gt;curlF=∣∣∣∣∣∣∣​i∂x∂​x6y​j∂y∂​xz2​k∂z∂​y5z​∣∣∣∣∣∣∣​=i(∂y∂​(y5z)−∂z∂​(xz2))−…

Q: Calculate dif V2R P= (R+r)²' where r is variable, and R and V are constant. dP dr Submit answer Next…

A: To calculate drdP​, we'll use the quotient rule and chain rule for differentiation. Here's the given…