Use the product rule to find the derivative of (2x² - 4x¹0) (5² + 6) Use e^x for e. You do not need to expand out your answer.

Q: For the following fields, calculate curl F: 1. F(x,y,z) = 〈x2 -y, 4z, x2〉 2. F(x,y,z) - 〈-3y,3x〉

A: Step 1:(1) The given field is:F(x,y,z)=⟨x2−y,4z,x2⟩To compute the curl of a vector field, we can use…

Q: Use partial integration to derive that from image without deriving the right side. Here one can…

A: Let's prove, ∫xtan2xdx=xtanx−21​x2+ln∣cosx∣+C We can use the formula : ∫u dv=uv−∫v du Let's perform…

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Q: The population in a certain city was 55,000 in 2000, and its future size is predicted to be P(t) =…

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Q: Evaluate the indefinite integral. cos(x) 8 sin(x) + 40 dx

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

Q: Please help. The answer is not 4.

A: Step 1: By applying the Power Rule of Integration, ∫xadx=a+11​xa+1+c ,  Step 2: To find the…

Q: 2. Definition: The angle of inclination is the angle, 0, made with the positive x-axis and 0°≤0≤180°…

A: Step 2: Step 3: Step 4:

Q: Answer without referring back to the text. Fill in the blank. (Enter your answers as a…

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Q: 18. MNPQ is a parallelogram and R is the intersection point of the diagonals MP and NQ. Let u = MQ…

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Q: Find the value of the constant C for which the integral 3x 3C dx 4x + 1 (11) + converges. C =…

A: You can simplify it more by putting value of ln( 2 ). Depends on your need .ln(2)= 0.6931471806

Q: Could you do part b please

A: Step 1: Step 2: Step 3: Step 4:

Q: Maximum Revenue When a management training company prices its seminar on management techniques at…

A: Step 1: For part 1,Given that the price per person is $400 and the number of people is 1000.Let x be…

Q: г 4. Find the vector equation of the line that a) passes through the point A(3,-2,0) and is parallel…

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help with this problem and an explanation for the solution described below:

A: Dear student, please check the answers. If you have any further doubts, I will clarify them as per…

Q: Integrate G(x,y,z)=x over the parabolic cylinder y = x², 0 ≤x≤. ... Write the integral SSG G(x,y,z)…

A: Step 1: Set up the double integral for the surface integral of G(x,y,z)=x over the parabolic…

Q: Help

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Q: Please don't provide handwritten solution.

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Q: For the series below calculate find the number of terms n that must be added in order to find the…

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Q: Let u = (-3, 1) and v = (0,3). Compute the following: u.v= • = | | i|| 2 = −1 (u · v) • (−1ū) · v ū⋅…

A: Step 1:Step 2: Dot Product (·):The dot product measures how much two vectors are aligned with each…

Q: Deterime if the following fields are conservative or not. If it is conservative, then find the…

A: Step 1: Given vector fields are (a)F(x,y)=⟨30x2y2, 20x3y⟩(b)F(x,y)=⟨3xy2+6, 6x+y2⟩ Step 2: Now,The…

Q: 5. Determine the end behavior of the given functions. lim f(x)= lim f(x)= 2-90

A: We can see clearly   from the graph       as   x is approaches   to  toward   2 from RHS     the…

Q: The rational function V (t) = 390t t +4 models the velocity, V (t), in miles per hour, of a dragster…

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Q: dx Compute√2+16 dr

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

Q: If the vector field F is orthogonal to the smooth curve C' everywhere, then F. dr is Off(x, y)ds 1 0…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the best quadratic approximation, Q(x, y) of √9 - 7x + 4y for (x, y) 7x+4y near (0,0), Q(x, y):…

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

Q: Assume the acceleration of the object is a(t) = -32 feet per second per second. (neglect air…

A: Step 1:Step 2:

Q: Show that the points P(1,1,1), Q(2,3,2), R(3,-2,5), and S(4,0,6) are coplanar

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Q: Homework

A: {if you have any queries please feel free to ask..}

Q: The stock price for a certain corporation can be approximated for the years 2008 through 2015 by 2…

A: Please refer to the solution

Q: Find T, N, and к for the plane curve r(t) = 9t i + 9 In (cos t) j, - T(t)=(☐)i+(☐)j N(t) = ( ☐ ) i +…

A: Step 1:

Q: 10 logio (10x) dx = 1/10 ○ 31n10 ○ 21n10 ○ 101n2 ○ 10ln3

A: Step 1: ∫101​10​xlog10(10x)​​dxFirst we will convert log to ln. As log10(10x)​=log10e​loge(10x)​Then…

Q: -1 csch¹x = ln √1 + x2 x % 0 x |x| Prove mathematically that the right-hand side is equal to the…

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

Q: Solve the triangle. C = ° (Do not round until the final answer. Then round to the nearest degree as…

A: Step 1:from the figure, we have two angles and one side length, we need to find the remaining angle,…

Q: Given the function f(x) = cos(5x), compute the right-endpoint (Riemann) sum using n = 3 on the…

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Q: Determine whether the vector field is conservative and, if so, find the general potential function.…

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Q: Find the derivative of the given function. y= 1 = (8x² + 4x) e¯8 - 8x y' = ☐ (Type an exact answer.)

A: Step 1:

Q: Consider the function y = f(x) shown in the graph below. At points x = 1 and x = 3 determine whether…

A: Step 1: Step 2: Step 3: Step 4:

Q: Dèterminer les forces qui s'exercent sur (s) sur la figure sans souci d'èchelle

A: D'après l'image fournie, on peut identifier les forces suivantes qui s'exercent sur le corps (S) :Le…

Q: Given the function graphed below, evaluate the definite integrals. 4 3 3 2 1 2 -1 -2 -3 S 8. f(x)dx…

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Q: Dave is driving on an American Interstate highway which has a speed limit of 55 mph. At 2 pm he is…

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

Q: MAT441 CALCULUS II – PROJECT #5 Evaluate S cos (3x) dx. √√4 - sin² (3x) Answer. Step 1: Exercise 1

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Q: Test the series below for convergence using the Root Test. Σ (3n+4)* n= n The limit of the root test…

A: Step 2: Step 3: Step 4:

Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z over the curve c(t) = (et,…

A: You may refer to the step by step guide from below:…

Q: Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.) r = e r…

A: Step 1:To find the points of intersection between the two polar curves, we need to set the equations…

Q: 2. Assume that f is continuous on [1,5] and that f(1) = 20, f(5) = 100. Determine whether each of…

A: 2. 3.

Q: *Use first derivative test

A: Step 1: Step 2: Step 3: Step 4:

Q: (a) Evaluate the integral 2 32 -dx. x² +4 Your answer should be in the form kл, where k is an…

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Q: A particle is moving along the x-axis with an acceleration function a(t) = 2t - 5, where a is in…

A: Step 1:Step 2:Step 3:  Step 4:

Q: Let f be defined from f(x) = from image. Find the limit for lim(x->1) f(x) / ln x

A: Step 1: **Use the rule of L'Hopital:**  The expression…