-3 (x² - y²)²] Evaluate: ₁²² x+y du dt

Q: Evaluate the indefinite integral given below. Provide your answer below: f6e4 tan (2x) sec² (2x) dx…

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Q: Find the area of the region bounded by the curves y = the x-axis using vertical strip. (x+1)2/ = 4…

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Q: II. Evaluate the following integrals 3. S 3* sech³ (3¹) -dx 1+tanh (35)

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Q: Solve the differential equation dx 4x+6y+5 - dy 3y+2x+4

A: Concept: The general form of non-homogeneous differential equation  dydx=a1x+b1y+c1a2x+b2y+c2 Check…

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Q: 7. Sara wants to show that (ā × b) × ĉ ‡ ả × (ỉ × ĉ). Yasmina says that it is impossible and comes…

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Q: 5. Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis,…

A: Solution given below

Q: Evaluate the integral: S/2 sin(4t - u) du dt

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Q: Find the area of the region pictured below that is bounded by the functions f(x) = x² - 7x + 12 and…

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Q: ) Find the volume of the solid formed by revolving the region bounded by the cu y = √9-x² and y = 0…

A: Topic:- application of integration

Q: F/3 I ㅠ sec³ x tan x √2 + sec x dx

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Q: Q3. Evaluate : IL (2) * dy dx

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Q: 7. A nutrition company produces and sells natural powdered supplements. The price-demand and cost…

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Q: II. Evaluate the following integrals. 2. f (sin³x)√1 + cos x dx 플

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Q: I. Evaluate the following limits x-tanx 1. lim x-sinx x-0 9

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5. If Evaluate the following. (a) F' (9) (b) F (0), by interpreting F (0) as an area x) = √25-1² dt.…

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Q: 63. Use series to evaluate : Limit 1ND -cost 2

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Q: Write z₁ and 22 in polar form. (Express 0 in radians. Let 0 ≤ 0 < 2π.) Z₁ = 2√√3 - 21, Z₂ = −1 + i…

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Q: The fixed-points of f(x) = (x² + 2) a¹ are 3 and

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Q: Find the area bounded by y = sin √x and y = 0 on the interval [0, π^2].

A: The curves are y=sinx, y=0 on the interval 0, π2

Q: d dx [x² tanx]

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: V. The velocity function of a particle moving along a horizontal line is given by v(t) = t² − 6t +…

A: Velocity

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

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Q: 1/2 lim (3* + x) x→+∞

A: Given :limx→∞3x+x1x

Q: Find the dimensions of the rectangle of maximum area that can be formed from a 10-m piece of wire.…

A: We have to find the dimensions of the rectangle of maximum area that can be formed from a 10-m piece…

Q: f(x, y) = ln(x² – 25) + √√-y² - x² – 10x . -

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Q: Determine the values of r for which the given differential equation has solutions of the form y = t'…

A: To find for what  values of r the given term becomes solution of differential equation.

Q: A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t…

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Q: Please do this typewritten only for upvote. I will not upvote if it is handwritten. Make sure you…

A: Given that,

Q: If f(x) = x(2^x), then f'(x) is equal to: O 2^x (2x In x + 1) O 2^x (In 2+1) O 2^x (x In 2+1) O 2^x…

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Q: ) Find the area of the region bounded by y = ex, the x-axis and the y-axis.

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Q: A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t²…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating about the x-axis the…

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Q: 11 12 13 14 15 Solve Solve Solve Solve Solve ((AND)U(CNA))-(CNB) (BUC)-(DNA) (BUD)-(ANC) (ANB)U(DNC)…

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Q: Integrate the following Integrals: 1) [x² 3x dx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find the average value of f(x) = -3√x + 5x over the interval [0, 3]. Submit an exact answer using…

A: This question can be solved using the concept of average value of function over an interval.

Q: a. Arc length of the curve y = 4- (x-2)² 4 bordering the region R

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Q: What is the component form of the vector with an initial point of (-2, 5) and a terminal point of…

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Q: Evaluate: xy² dx dy [√ 0

A: We have to find value of given definite double integration.

Q: Evaluate the expression under the given conditions. sin(8 + 9); sin = 159 in Quadrant I, cos pa =-.…

A: To find sin(x+y)

Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 5, t> 0 Y ||

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Q: Find the are a of the region bounded by the given 1) sketch the area, ii) Determine the boundaries a…

A: This question can be solved using the concept of area under curves.

Q: lim (sech 2x) csch x² +0x f(x) = csch x

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Q: (3) Prove the Generalized Triangle Inequality: if a1, 42, ..., are R then an + Q2 + · · · + @ < 41 +…

A: Given

Q: P 1. (1 Use the cylindrical shell method to find the volume of the solid obtained by rotating the…

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Q: 3. A company determined that the price-demand and cost functions for selling x units of a certain…

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Q: ㅠ [sin(y) sin sin (y) sin² (y) 1+ cos(y) dy KIN

A: We will use substitution method to integrate.

Q: Determine Ex=1(-3)^-² its sum. O 4/7 5/7 O 7/2 7/4 the series converges and if so, find whether

A: On solving this we will get

Q: Are the following pairs of triangles similar? If yes, please specify a sequence of similarity…

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Q: B) Integrate the following Integral: Je²x sin 2x sin x dx

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