1. Show the drawing and entire solutions to know the differential equations of the lines' families passing through (h,k), wherein h and k shouldn't be eliminated.

Q: Evaluate: SS₂₁ (4x²y — z³) dz dy dx

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Q: lim (sech 2x)csch x x² +0+*

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Q: Evaluate: xy² dx dy

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Q: 3 Evaluate: ³₂²₁₁²[z³(x + y)³] dz dy dx

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Q: If the total cost function is given by TC = 300 + 5g + 3 then the marginal cost function MC = O a.…

A: We have to find the marginal cost function.

Q: Find the area of the region bounded by the curves 1 y=; y = = 4 and the x-axis using vertical strip.…

A: Let's find area of the region bounded by curves and given line y=4.

Q: !

A: Please refer to the image below

Q: x 1 4. 1 / ₁²+52²+8² dx x² + 5x + 8

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Q: A third-order differential equation has a general solution of: y=e-2x(C₁ + C₂cos8x + C2sin8x).…

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Q: Evaluate the indefinite integral given below using the indicated substitution. 1-20 -2(-2x + 9)³ dx…

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Q: II. Use the difference table to predict the next term in the sequence. Show your complete formula.…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 312-3x| dx

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Q: An ocean liner is sailing north at a rate of 13 miles per hour. The ocean current is flowing N-10°-W…

A: In this question we have to find the velocity of the boat relative to land and what direction is the…

Q: -2 (x² - y²)²] Evaluate: S₁ S² P₁² dx dy x+y

A: Let's evaluate given double integral.

Q: What is the answer? Show your complete answer (with a graph) in a given-required-solution

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Q: 3. Determine if the assigned improper integral is convergent or divergent. Lever e²+1 dr

A: Given problem:-

Q: 2. Evaluate all of the integrals. a. [² sec²rtan r (1+sec x)² dz

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Q: 1. Evaluate the assigned limit using L'Hopital's Rule. lim [cos (2x)]¹/(*-*) X-T

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Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: This is a problem related to properties of addition and multiplication. Based on the general formula…

Q: S √x²-25 dx X

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Q: 3 Evaluate: 2₁ (4x²yz - 2 ) dz dy dx 4

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Q: 3 So So t : t² etu du dt

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Q: t = b? Choose 1 answer: b Ⓒ / ° v A a © B Ⓒ a b cb a a b e20t+t6 dt e10t+t³ dt 10e10t+ 3t² dt…

A: Topic = Integration

Q: 5x 3 2 Evaluate: ffxf²dz dy dx 2

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

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

A: To convert a point from Spherical coordinates to Cartesian coordinates, use equations  x=ρsin ϕcos…

Q: + ₁2²x + 2y dy dx

A: I have stated the used formula in the solution

Q: -2 Evaluate the integral: ² ft² n s teu du ds dt

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

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Q: Evaluate the integral: 2e π/3 ₁²² ²/³ t Inu tans ds du dt

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

Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

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Q: The function g is continuous on the closed interval [1, 4] with g(1) = 5 and g(4) = 8. Of the…

A: This question can be solved using the concept of Mean Value Theorem.

Q: The population of a municipality in the country varies according to the function…

A: Topic:- Algebra

Q: 5x 3 Evaluate: fffdz dy dx 2

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Q: Q9. If W = f(u)=u³ +sin ¹u+lnu, and u= ax +by, where a, and b are constants, show that aw Əw b oy Əx

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

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Q: Use the table of integrals to evaluate the integral. 2 √2²47x²³ √4x²-x+ d² dx

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Q: 5x 2 Evaluate: ²3x²dz dy dx 2

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

Q: 3 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

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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: Determine the values of r for which the differential equation y + 2y = 0 has solutions of the form y…

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Q: Evaluate the integral: -2е π/3 ₁²/³t Inutans ds du dt

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Q: 3 Evaluate: ³₁²₁ ¹²[z³(x + y)³] dz dy dx -4 1

A: Given

Q: -t √3u U Evaluate the integral: So So So S² S³ 2442 ds du dt s²+u²

A: A detailed solution is given below.

Q: What is the slope of the tangent line to the curve y = T I 7 O-2 02 0 - 17/12 01/1/01 O none of the…

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Q: The derivative of y with respect to a given ¹ = 1 is Oy' = yx²-¹ O y'= 0 Onone of the choices Oy' =…

A: I have stated the used formula in the solution.

Q: Evaluate: £²³₂ £²₁ ₁²[z³(x + y)³] dz dy dx

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Q: Determine the equation for the line with normal vector n = [3,-4] passing through the point P(-1,-2)

A: Given.

Q: Find the point on the line y = 8x closest to the point (1,0). (Use symbolic notation and fractions…

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Q: 4x Find the average value of the function f(x): - 5 Submit your answer as an exact value. Provide…

A: Given problem:- Find the average value of the function f(x) =(4x/5) + 1 over the interval [-1,3].