Find the derivative of the function. q=5√x³+3x q' =

Q: A tank initially holds 50 gal of a brine solution containing 2 Ib of salt. At t = 0 another brine…

A: Given data:- Volume of brine solution, Vo=50 gal Containing salt, a=2 At t=0 any Brine solution…

Q: (1) f (1) x²(x³ +1)5 (x³ − 1)5 dx -

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Q: verges. 8 (-1)"6" n=1 5n lect the correct answer below: a) The series converges absolutely O b) The…

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Q: Evaluate the limit lim (x=2^+) = 1/x-2

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Q: Find the critical numbers of the function. f(x) = 7x² - 4x Step 1 To find the critical numbers of f,…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the Laplace transform to solve the following initial value problem: y" - 6y +9y=0 y(0) = 5, y(0)…

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Q: Find the derivative of the function by the limit process. f(x) - f'(x) =

A: The given function is f(x)=4x2We have to find the derivative of f(x).

Q: (₁ Find the absolute extrema of the function on the closed interval. ƒ(x) = x³ − 12x + 1, [-3,1]

A: An absolute extrema of a function in a given interval is the point at which a maximum or minimum…

Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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Q: 2 3. Prove: sinx + sinxcot x = cscx.

A: I have stated the used formulas in the solution

Q: || + 3 вн f(t) dr = 3 f(t) +

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

A: Given, L-12s-1s32

Q: (1) [(x³ + +7) dx x

A: Multiple questionSince this is a multiple question, according to the Bartleby answering rule, only…

Q: The velocity of an object is v(t) = 29t²,0 ≤t≤6 where v is measured in meters per second and t is…

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Q: Evaluate the following integral: 2x 3xy SS²*13 (2y)dzdydx x

A: A detailed solution is given below       We know that ∫xn dx =  xn+1n+1

Q: e. Find the second derivaitve. f''(x) = f. Use parts b through e to identify maximums as points. g.…

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Q: Find the radius and interval of convergence of the power series (−1)″ (x+2)" √n.3n n=1

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Q: Evaluate the following integral: S₁ S² == dydx −1 1 y

A: Given integration: ∫-14∫1ex2y dydx

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Q: -10 -5 15 15 5 X 10

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Q: Find the product of (8 + 6i) and its conjugate. product =

A: solution:-the complex number is 8+6i the complex conjugate of 8+6i is 8-6i

Q: Which of the following series should be used to determine the divergence of the series Σ, V5n2+2n+4…

A: Given :- ∑n=1∞5n2+2n+4n

Q: Evaluate the following. √ √x- x - 4y + z ds S: z = 14 - 3x +9y, 0≤x≤ 6,0 ≤ y ≤4 Part 1 of 4 To find…

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Q: Consider the following. f(x) = tan(x), (-1) (a) Find an equation of the tangent line to the graph of…

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Q: 3. Find the general solution of the differential equation y(4) — 4y" = t² +et.

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Q: Let E be the solid region which lies above the region in the xy-plane bounded the curves y = √x and…

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Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

A: a. Given that, the function is fx=e-10x. Note that, the Taylor series expansion for the function fx…

Q: 8 i) 이름을 . dx ii) f xel+x2 dx

A: This question can be solved using the concept of definite integrals.

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

A: I have stated the used formulas in the solution

Q: -6 -4 -2 -6 y 2 4 The graph of f(x) is given above. Determine the domain and range of f-¹(x) using…

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Q: A silver dollar is dropped from the top of a building that is 1323 feet tall. Use the position…

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Q: is dropped s(t) = -16t² + vot + so (a) Determine the position and velocity functions for the coin.…

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Q: It is a fact that the function  f(x) =  9x − 8 x + 8  (**it is 9x-8overx+8  9x-8/x+8)  has a…

A: We need to find limiting value.

Q: Use the definition for the function above to find the derivative. f'(x) = lim Submit Ax-o lim Ax-0…

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Q: 2. (a) If z = 1+ 3i and v = −2 − i then 1 A. + 2 B. Tin Tin + C. A. 2√6 e-in/6 B. 2√3 e-in/3 D. 2 10…

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Q: ds" Evaluate the given Laplace transform. (Write your answer as a function of s.) L{te-15t}

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Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s²…

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Q: Question 1 Given: 2y" + 5y¹ - 3y = 0; y(0)-4, y'(0)=9. Evaluate f(1).

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Q: 3. Find a power series representation d 1 Hint: use - [In(x + 1)] x+1 dx for f(x) = ln(1 + x) and…

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Q: The points (-1,3) and (0,2) are on a curve and at any point (x, y) on the curve y" = 2-4x. Find the…

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Q: Solve: y(1) Given: y'-y=1, y(0)=0

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Q: Answer the following completely. Given: tan a = 2√√6, a € [0,π]

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

A: The given inverse laplace transform is L-16s-1s22We have to find the appropriate algebra .

Q: Use the Laplace transform to solve the given initial-value problem. y" + 7y' + 6y = 0, y(0) = 1,…

A: Use Laplace transform

Q: The graph of f is shown. y -10 0 10 y = f(x) 20 30 40 X

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Q: Consider the following function. f(x) = |x-7| Find the derivative from the left at x = 7. If it does…

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Q: 24. Differentiate each of the following with respect to x. Simplify fully when indicated 1 (a)_y=x²³…

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Q: Use the given information to find the exact function value. Simplify your answer as much as…

A: The given sinθ=25, tanθ>0 . We have to find the values of cos2θ and sin2θ

Q: Evaluate: L Blank 1 5 {}} 5 Blank 1 Add your answer

A: As we know from the inverse Laplace property; L-1a·fs=a·L-1fs  ; where a is constant And…

Q: 4 cos x -dx 1+ cos x

A: Our Aim is to evaluate the integral given below:-∫cos4 (x)1+cos (x) dx -(i)