Find the 2nd derivative with complete solution y = 3x + 5 / x^2 + 4

Q: 4. Determine the equation of the plane passing through the point (1,-4, 3) and parallel to the plane…

A: Explanation of the answer is as follows

Q: SIn(5 + VT)dr Algebraic Substitution

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Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

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Q: A seagull, flying above a lake, dives for a fish according to the function h(t)=0.25t -4t +15t ,…

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Q: ² f r' రy2 Əx? dy? dz? x² + y? + z²

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Q: 7. Each of the following statements is true. What can you conclude about the vectors i and i f: a)…

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Q: Evaluate the integral [(4?) i + (3) j+ (5t + 3) k] dt. 1 i + (3) j+ (5t + 3) k] dt = (O i+ O ij+ (O.…

A: Topic = Integration

Q: dx 5x2 + 16

A: Given that a integration and we find the solution of this question by general formula of the…

Q: 6. Evaluate the integral /: a sec (x²) tan(x²)d.x. sec*(x²) tan(x²)d.x. sec (x²) tan(x²) (a) + C 6.…

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Q: dz and at dz 3. Let z x2 + y3, r 2st and y = s- t2. Compute for

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Q: e ( +5t –2) 6. 5 (s – 2) (s - 2)² O Option 3 O None of the Choices 6 + 5(s – 2)² – 2(s - 2)° (s -…

A: To find the Laplace transform of f(t)=e2tt3+5t-2⇒f(t)=e2tt3+5e2tt-2e2t

Q: Find the sum of the convergent series. 1.6

A: Gp

Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec2x

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

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Q: Find the exact length of the curve. Ex372, 0sxs 4 y =

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Q: Q.4) The Wronskian W(e~2", e",e²), is: a) 12e b) –12e c) 6e² d) -6e"

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Q: Part 2. Use the integration techniques to solve for the anti-derivative of each fur I. S3p? tan p dp…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: 1. Evaluate the given line integral, (-y,x – y) · dR, where C is the upper part of x² + y? = 4 from…

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Q: Evaluate each limit: x +x-30 a) lim x-3 x-6x+5 3-1-4x b) lim X-2 x+2 x+3 c) lim x→-3 Vx-5+2

A: Limit

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (6 e'V5)i+…

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Q: Let F(x) = (f(x))² + (f'(x))², F(0) = 6, where f(x) is a thrice differentiable function such that…

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Q: A. For each of the following functions z, find az and ду ax 1. z= sin3x cos4y 2. z = tan- (2) 3. yz…

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Q: Find the volume OF the solid obtained by rotating about the y- axis the region bounded by Y= x2 and…

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Q: Find aly if and of to

A: Differentiation

Q: Use differentials to find the approximate value of y: (2x – 1)* when x = 0.98. O (E) None of the…

A: Given :f(x)=2x-14x=0.98

Q: Find the inverse transform, indicating the method used and showing the details: 2s - 10 -5s 1. s3 3s…

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Q: Find the inverse transform, indicating the method used and showing the details: 2s - 10 -5s 1. s3 3s…

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Q: 1 -dx. State whether the improper integral converges or diverges. 22 +4 Evaluate 00

A: We have to check weather the given integral is converges or diverges.

Q: 1- x dx 3.

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Q: y =, x = 1, x = 4, and y = 0 is revolved about the y – axis.

A: Let's find.

Q: 2. Find the volume of the solid bounded by z = 0, x = y2,z= 3, x = 4 - y2. (graph the solid)

A: Given problem:- Find the volume of the solid bounded by z = 0, x = y2 ,z= 3, x = 4 - y2

Q: 12. Evaluate: 212-3V+1 (a) (d) / sec (2) / (b) / sec (20) de dr 1 (e) rVI-1 dr dr 16+9r2 (c) sin t…

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Q: der the series. You will apply a comparison test to determine the sin n=1 3 behavior. Do the…

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Q: vertical asymptote z=0 S'(z) > 0 for z -3, (z # 0) f"(z) 0 for z > 0

A: Let's find.

Q: give me an example of properties of definite integral

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Q: X=34-3 X=2-2y (-3,0) 12,07 y = 2X-4 -4 49-3

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Q: se' z = st. Solve for dz IV. Let w = x ln x + 2xyz + 5z°y, x = tan s + r, y =

A: Given problem:- Let w = xln(x3) + 2xyz + 5z3y, x = tan s + r, y = (set )/r, z = st Solve for partial…

Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

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Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Use (a) bisection method and (b) false position method to find the solution to the following within…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: 2+ In² 1 dx. 4. Evaluate the integral x – x ln x (a) 3 ln |In r – 1| + 2(ln x – 1) + (In x – 1)2 +C…

A: To find out the integration.

Q: dr Find de r= 3 sec 0 csc0

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Q: Evaluate the following integrals using Trigonometric Substitution: x-1- 16x dx x 2. dx 9 dx 25t2 - 1…

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9) (b) 352+5s+1 (d)…

A: Let's find.

Q: Find the volume of the solid generated when the plane region is bounded by: x= y^2 and x+y= 2 is…

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Q: 6s-4 82-4s+20 2et cos 4t + 8et sin4t None of the Choices Option 2 2e 2t cos 4t + 8e-24 sin4t 6e 24…

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Q: 00 Determine whether the series omverges absolutely, conditionally, or n=1 not at all.

A: The given series is ∑n=1∞-1n-1nn2+1. A series ∑n=1∞un   is absolutely convergent if ∑nun  is…

Q: x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and…

A: As per guidelines of Bartleby I am supposed to answer only first three parts of this question. If…

Q: a²z B. For each of the following functions z, find a² z and ду? a² z дх? дудх" дхду" 1. z = 2x2 –…

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