S ex 2x (e²x + 8e*+7) 3/2 -dx

Q: e think of In(-3x + 7) as In(u), then u is a differentiable function of x and u = tionally, if we…

A: Topic:- application of derivatives

Q: Find the differential of the function f(x, y) = x√y at the point (2, 7) using Az = 0.3 and Ay = 0.15…

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Q: A rectangular poster is to contain 162 square centimeters of print. The margins at the top and…

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Q: Determine all equilibrium solutions and classify as stable, semi- stable, or unstable. dx dt a. b.…

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Q: Combine into a single logarithm log3 - 4 log; y + 2 logą z − 2 O 10g3 O log3 2yª O 10%3 gyt 2½ O…

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Q: etermine whether the sequence converges or diverges. If it converges, find its limit. n+1 an = 1.

A: Given query is to find the limit of the expression.

Q: Given the following first-order linear differential equation: dv 32 = dt V v-1. е a) Write the given…

A: Need to find out the general solution.

Q: Find the centroid of the region lying between the graphs of the functions ye and y = 1 over the…

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Q: Evaluate the double integral. J log (6) 4y 5x5 +1 D = {(x, y) | 0 ≤ x ≤ 1,0 ≤ y ≤ x²} dA, D=

A: NOTE: Refresh your page if you can't see any equations. . limit of x and y are

Q: For the function f(x,y)=x^2−6xy+2y^2, find and classify all critical points

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Q: Question 7 Determine the derivative of the given function: y = x² e-* Oy=x²e-e* (2x) Oy = 2² +22 Oy…

A: The given function is; y=x2e-x.

Q: Problem 1 Given a first-order differential equation: √1 + x² dy-ydx = 0 a) What is the best solution…

A: Sqrt(1+x2)dy -ydx=0

Q: Find the second derivative (y") of the given function: y = ln (7- x³) O-3x(14-x²) O-3z(14+x³)…

A: Given:  y=ln(7-x3)   To Find : Second derivative of the given function

Q: 81.2² 18 3x-2 = For the rational function h(x) a. Find any intercepts of the function. State them as…

A: to find the y-intercepts, take x=0

Q: Is this the answer

A: Note: After seeing the previous solution we observe that the student has demanded some more clear…

Q: If f(x) = 2x² - 3x + 6, find f'(5). Use this to find the equation of the tangent line to the…

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

Q: The average price of a two-bedroom apartment in downtown New York City during the real estate boom…

A: Topic- exponential function and derivatives    We are given, The average price of two bedroom…

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -2…

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Q: Find the cross product axb 6=(-4,3-5) Where a= (-3, -5,0) and (483 axb = <D₁ 0₁ 02

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Q: how to convert micrometer to ml and visa versa

A: To convert micrometre to milimeter

Q: The volume V of a growing spherical cell is V= r³, where the radius r is measured in micrometers (1…

A: We have given V=43πr3, where r is the radius and V is the volume.  a) find the average rate of…

Q: f(x) || = ex 1 - ex

A: ddxex1-ex

Q: This is incorrect. Please resolve.. UPVOTE WILL BE GIVEN

A: The given answer is not incorrect it is just incomplete. Will be providing the complete solution in…

Q: Obtain the differential equation of this family of curves. The lemniscate ² = acos 20

A: see below the answer and calculation

Q: dentify a technique of integration for evaluating the following integrals. If necessary, explain how…

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Q: Evaluate the following integral. 2x + 5 2 x + 25 X 2x + 5 2 x + 25 dx dx =

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Q: Problem 2 Given the following differential equation: (y³+kxy4 - 2x)dx + (3xy2 + 20x² y³-ky)dy = 0 a)…

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Q: D Question 25 y sin 2x + cos 2y = ax; Oy = Oy = 0% O y = O✓ = y a-2y cos 2x sin 2r-2 sin 2g a+2y cos…

A: To determine the derivative of given function.

Q: Given the function x³ + y³ = 4, find y' Oy = = Oy = = 0 y = = V Oy =

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Q: Evaluate the integral. 19 sec Jose sec 4x dx 9 sec 4x dx =

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Q: Find the derivative. 1 y = _x3 + 3x + Væ 2 Ody dx O Ody dx || ip O 32 y=2x2 +3 + 2x 32 || 2 X +3+1/x…

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Q: Evaluate S COS 3 ³ (1) 6 [ cos ³ (1) dx = 3 6 dx.

A: Given query is to find the integral.

Q: Draw the angle 180° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5+ 4+ 3+ 2+ H -1 -2+ -3+…

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Q: Find the critical numbers of the function.  h(t)= t3/4-6t1/4

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 6t+ 6…

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Q: 7/8x - 12 = -1/8x - 2

A: Given; 7/8x - 12 = -1/8x - 2

Q: Let f(x) = √22 – 3x and g(x) = -5x - 9. • You must combine all like terms before you submit your…

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Q: Given that u is a differentiable function, how do we get y' of y = arc csc(u)? T -^= f (x),n. (x),n.…

A: We can solve this as follows:

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: NOTE: Refresh your page if you can't see any equations. . x=side of the square cross-section of the…

Q: M3.2. d. A cadet engineer determines that when x hundreds of units of a particular commodity are…

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Q: The half-life cesium-137 is 30 years. Suppose we have a 100 mg sample. a) Find the mass that remains…

A: The equation for decay is:Pt=P0ektwhere t=time in years, P0 is the initial mass.

Q: Question 21 Determine the derivative of the following curve: x² + y² = 5 Oy = -√2 Ov=√ Od = -√√…

A: Explanation of the answer is as follows

Q: d csc 0 if tan 0 = 0 = and terminates in QII. Answer exactly. 15 Preview TIP Enter your answer as a…

A: Topic:- trigonometry ratios

Q: 1. Find a particular solution to y" + 4y + 4y= 25 cos(t). Solution yp(t) =

A: As per guideline we can solve maximum one question you can repost other question

Q: x-y ≤ 0 2x - y ≤ 8 0≤x≤ 11

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Q: Evaluate the following integral using partial fraction decomposition. S 12 (x-4)(x+8) 12 (x-4)(x+8)…

A: The given integral ∫12x-4x+8dx We have to find the integral using partial fraction.

Q: 0 = XP(^vx-2)^x + ^p (Tvx-tv^) differential equations.

A: A differential equation of the form Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x, and general solution is…

Q: Let f(x) f(g(x)) = g(f(x)) 30 C Question Help: - 4 Find the following functions. Simplify your…

A: Given query is to indicated composite function.

Q: Fill in the first 3 levels of Richardson extrapolation to estimate the derivative of sin(x) at x =…

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Q: What else do you observe? Concept Check: Evaluate the following integrals: 4. f 55 5sin2x *cos2x dx…

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