Let f(x) = 3x5 - 5x³.

Q: xdy-[y+xy' (1+ In x)]dx=0 is

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Q: d [r1(t) · r2(t)] dt d [ri(t) x r₂(t)] dt = =

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Q: Use partial fractions to find the indefinite integral. (Remember to use al 9-x2 10 dx 5x³ + x

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Q: 'ind the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

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Q: A point starts at (x, y) = (6,0) and moves CCW along a circular path centered at (x, y) = (0, 0).…

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Q: Find the equation of the tangent line to the graph of f(x) = 5 sin(x) + 6 cos(x) at x = equation: in…

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Q: The angle below subtends an arc length of 5.52 cm along the circle centered at the angle's vertex…

A: We know that θ=lr⇒θ=5.522.3=2.4 radians.

Q: 1. fx² In x dx = f x² dx f In x dx (In x − 1) + C Is the solution correct? If your answer is yes,…

A: We have to give reason and then solve the integration .

Q: Derive the following functions. Basic Rule should be applied.  y= x^5 - 3√x

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Q: Let S be the surface with equation given on the image. a) Write the equation of the traces of S on…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 S™ ||ti + 1²i|| dt

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Q: A circle is centered at an angle's vertex. The angle's rays subtend an arc that is 6.6 cm long, and…

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Q: 1. ff(x) dx + f(x) dx = 2. f f(x)dx - f₁² f(x) dx = 3. ff(x) dx + f₂f(x) dx =

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Q: Find for z = for z = ex-y Əz Əx

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Q: Solve the differential equation y' =a'y subject to the condition that y = e when x = 0. Preview

A: Y(x)=?

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

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

Q: 2. Write the given (total) area as an integral. (3 points each) a. The area above the x-axis and…

A: area

Q: 21. SHOW YOUR WORK Solve the system of equations in three variables: x - 3y + 2z == 10 2xy + 3z =- 9…

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Q: Find for x³+y³ = 2. -4x O O (E) None of these ○ 3x² + 3y² = 0 2x *(*_*) O

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Q: One historic earthquake had magnitude of 8.9 on the Riteter scale. How that had a magnitude of 8.5?…

A: Given:       If I1 and I2 are two intensities, then we are required to find I1I2. To relate this to…

Q: A company producing jigsaw puzzles has fixed costs of $7000 and variable costs of $4 per puzzle. The…

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Q: Two years ago, $5, 000.00 was placed into an investment in which the amount of money present, P,…

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Q: long as 1 235 times as long 235 times as long 235 times as long 360 235 times as long 2π 360 times…

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Q: A county's statistics indicate that the number of white-collar crimes is growing according to the…

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Q: Q-2- A Particle moves in a straight line so that after t sec. it is Sm. from a fixed Point O on the…

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Q: x +4 1. √x dx 2. √ 1 + √F 1+ 3.x√ √x² + 1dx -dx

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Q: '1+tanx Evaluate the integral 1-tanx dx A In sinx-cosx + C B -In cosx+sinx + C C -In cosx-sinx + C D…

A: Here, to evaluate: ∫1+tan x1-tan xdx

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

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Q: a. b. ² (30e³P +/- ¹ dp р 4 1 2 2x4 dx

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(9t)i + 7…

A: Let's find.

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

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Q: Given the graph of f, determine which is larger in each case. 10 f(6) is [Select] than f(8)…

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Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t²i + 2tj + tk,…

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Q: Select the choice that makes each statement true. x²+x-6 X-2 [Select] x +3 x²+x-6 lim X-2 X-2…

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Q: Evaluate √ (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7)

A: Let's find.

Q: For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h…

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Q: Verify Green's Theorem by evaluating both integrals ƏN [ 1² dx + 2² dy - [ ] (™N - OM) a dA ax ду…

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Q: 9. Which of the following is equal to feedt? A. ee C. eºx + C B. ee + C D. eºt + C 10. What should…

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫c·fxdx=c·∫fxdx , where c is constant   (9).…

Q: Using trigonometric substitution to evaluate, 2 5² dy y√√y²-25

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Q: Use the given derivative to find all critical points off, and at each critical point determine…

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Q: Find the average value of the function f(x) = 42³ on the interval 0 ≤ x ≤ 3

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Q: Calculate[ri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and then…

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Q: Find the arc length L of the graph of r(t). L r(t) = 12 cos(t)i + 12 sin(t)j + tk, 0≤t≤ 2m

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Q: S CHO dx 13-x

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Q: ck < cre ISP Question af Calculate for the function f(x, y) = x² + y². dr Select the correct answer…

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Q: 13. What is f2sinx cos x dx? 2cos.x A. +C In 2 C. 2cos.x B. +C In 2 D. 14. Which of the following…

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Q: Find f '(x), if f (x) = e−5x 5e O-5e^-5x 5e^-5x 5x

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Q: The gravitational force, F, between an object and the Earth is inversely proportional to the square…

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Q: The Bernoulli's form of the differential equation x³ydx+(3x4 - y³dy=0 is

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