The solution interval of 2y +12≥3 or 3y< -3 is (-∞, -1) U[1, ∞0) AO {yly> 1 or y≤ -1} .B O (-∞, -1]U (1, ∞ ).CO {yly ≥1 or y<-1} DO

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A: Given problem:- Determine whether the following definite integrals converge or diverge and evaluate…

Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: 5. Given z = arctan (), Find az/ay

A: We can find the partial derivative wrt y as below.

Q: f(x) = 27x² + 3x5 - 24x³ + √2x f(x) = + √2x 3 x x5

A: Find the general anti-derivative F(x) + C for the following problem:

Q: Z ек у -4x Find any ду az ах

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Q: The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: Let's find rate of area increasing when W=4cm and l=10cm.

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We have to solve  part 1, 2 and 3.

Q: 3) Let f(x) = 1 + 3x on [-8, 2]. Find the number c that satisfies the mean value theorem. a) O C= b)…

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Q: Find the volume generated by revolving about the line y-2=0, the area bounded by x^2=8y and the line…

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Q: 3. y = 1 √x Calculate y'. 1 V3

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Q: 3 If the function u = ln (2³ +2²4-²) then x ou + you is 2e^u e^2u 02 1/2 Other:

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Q: 29. A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes…

A: As per our norms we have to write one question at a time kindly repost remaining questions

Q: 1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the…

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Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

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Q: Find the radius of convergence and interval of convergence of the series –3)”.gn 'n + 1 n=0

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Q: 5. The auxiliary equation of the differential equation (4D³ - 13D + 6)y = 0 falls under_ Prove your…

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Q: Find the derivative of 10 5x - 4. 1 5 9 X (10) 5x-4 Click here to enter answer Back Delete Clear…

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Q: 02/Use the l'Hopital's rule to find the limits in t3-4t+15 a) lim t--3 t²-t-12 X-8x² X-00 12x²+5x b)…

A: Given problem:-

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: I am attaching image so that you understand each and every step.

Q: If v = (x² + y² + x²) −¾7, then + O O O 1 O -1 O-1/2 Other: 8²v 8²v dx² მყ2 + 8²v əz² is

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:- Solid S is bounded by the given surfaces. (1) Sketch S and label it with its…

Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line (y…

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Q: Given f(x)=4x+1 and g(x)= x²+x-3: Use the disk method to determine the volume of solid obtained by…

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) Particular solution of y" -…

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Q: In (x-2) lim x2+ In (x² −4)

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Q: y = x² - 6x² + 8x and y = x² - 4x. 2. Find the area bounded by the two curves y:

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Q: 4. When solving an auxiliary equation of a certain differential equation the roots m = 1 ± 2j are…

A: I am attaching image so that you understand each and every step.

Q: 23/ Solve the following. Choose two only. 1. lim x lnx³ X-0 2. lim x sin(1/x) 848

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Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL. ENCLOSE FINAL ANSWERS. dx xy+3x-y-3 1. Find the…

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Q: 2. § (5z² - 7z + 3) dz from z = 2 to z = 1

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Q: 3. Let R be the region below bounded by the parabola y = 4x² and the lines 3x - 2y +3=0 and y = = 0.…

A: Follow the procedure given below.

Q: 5. S Evaluate the integral, if it exists. du √u - 2u² u

A: We have to find the solutions

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

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Q: General solution of dy dx = tan²(x + y) dx

A: This question can be solved by taking x+y=t

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:- Solid S is bounded by the given surfaces. (1) Sketch S and label it with its…

Q: So .x² dx (2x²+2x+1)²

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Q: (c) (d) sin 3x lim z0 tan 3r lim (In(sin 2x) - In(tanz)) +0+z

A: Here we have to solve the given limits.

Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

A: Let's find time taken 1/2 the original amount of radium to decompose.

Q: Question 1 A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it…

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Q: T Shift Ctrl -3 S x²4x +3 2 1 X(X + 1)² dx

A: First we take partial fraction then integrate.

Q: A metal sphere cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take to…

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Q: 27 The x-intercept of the line x=6y +9 is (9,0) صواب ه خطأ

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Q: Lim x²-3x-4 x²-1

A: Topic:-  limit calculus

Q: 2.2 5 (2x² – 3x) dx

A: We have to evaluate

Q: Expand the quotient by partial fractions. x+7 (x+6)² X+7 (x+6)² (Simplify your answer. Use integers…

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Q: tan (3x) lim x→0 sin (2x)

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

Q: Vector-valued function R(t) = 1. Reparametrize R using the directed arc length s from the reference…

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Q: Find the domain of R. R(t) In(1 t) √t+1, e-¹/|t| {(VEFT, 0-10m, bu(1-2)}) t = (1,0,-1) " , if t #0…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2. Lim xcosx sin²x 2 x-o

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