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

Q: The choice of u and du is subject to trial and error. Identify the appropriate choice of u and dv S…

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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: Evaluate: ƒ³, ƒ²₁ √√₁²[z³(x + y)³] dz dy dx -3

A: Given :∫-33∫-12∫01z3x+y3dzdydx

Q: Q1/ Without using L'Hopital rule, find the following limit. √2+x-√2-x lim- ×-0

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Q: x² Define R as the region that is bounded by the graph of the function f(x) = 2 +2, the x-axis, x =…

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Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

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Q: 2. Evaluate all of the integrals. a. [² sec² x tan x (1 + secx)² dx

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Q: Determine the total solution of the differential equation (D²+8D+16)y = 64cos4x. OA.y = C₁e(-4x) +…

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

A: We have to solve the given 2 question.

Q: Evaluate the limit using L'Hôpital's Rule. 8x³ lim x-0 sin(x) - x (Use symbols and fractions where…

A: we want to determine the value of limit limx→0 8x3sinx -x

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

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

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Q: 5x² S -dx 2. ex

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Q: Given F(x) below, find F'(x). ovide your answer below: F'(x)= at attribution (x) = cos(x) (12-2) dr

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Q: . Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ (x) has a root in - [0]. If…

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Q: Evaluate the indefinite integral given below. [6e¹tan (2) Gett 6e4 tan (2x) sec² (2x) dx

A: The given integral: ∫6e4 tan2xsec22xdx

Q: Find the y coordinate of the center of curvature of the parabola at (2,2). O -7 -6

A: In this question we have to find the y coordinate of the center of curvature of the parabola at (2,…

Q: Find the area bounded by a parabola and any right chord (use the parabola y^2 =4ax, chord x = x…

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Q: Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y =…

A: Solution given below

Q: Where is the sketch of the area?

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Q: Explain why the function f is continuous at every number in its domain. State the domain. 3v1 f(x)=…

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Q: 2. Evaluate all of the integrals. [ 2² sin sin a dr

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Q: 2 a sin 0 0 a²_r² .2 a So 0 rdz dr de

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Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: The equation of a tangent line at a point (x₁, f (x₁)) where limh→0 f(x₁+h)-f(x₁) h = +∞ is x = x1.…

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Q: Which of the following is the general solution to the differential equation (3s-2t + 1)ds = −(3s −…

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Q: Find the area of the region bounded by 2x = and the y-axis using the horizontal strip. 4 y²+1

A: We have to find the area using horizontal strip.

Q: Do as indicated. a. Find the equation the tangent line and normal line to the graph of f(x) = x³ at…

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Q: 2. The position of a particle moving horizontally is given by s(t) = t³ − 6t² + 9t + 4, where s is…

A: s(t)=t3-6t2+9t+4   position when instance change direction means v=0…

Q: Evaluate the limit using L'Hôpital's Rule. 11x³ lim x-0 sin(x) = x (Use symbols and fractions where…

A: Givenlimx→ 011x3sinx-x

Q: Given the following graph of f(x) , use your understanding of derivatives to sketch a graph of f'(x)

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Q: Find the solution of the given initial value problem. 2 cos t y' - - Y y (π) = 0, t> 0 t-2' y(t)

A: Given: y'-2ty=costt-2,       yπ=0

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

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Q: S 36x2+25 - dx

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Q: solve the equation! - A (a) Y'(t) = -Y(t) + sin(t) + cos(t), Y(0) = 1; Y(t) = sin(t) + ce-t. b)…

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

Q: S √x²-25 dx X

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Q: 4. The position of a particle moving along a horizontal path is given by s(t) = t³ - 4t² - 3t+8,…

A: This is a problem related to differentiation of the function. Based on the general formula and…

Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative

Q: Evaluate the following limits. 1 - cosh x 1. lim x+0+ ln(x² + 1)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: So So t² etu du dt

A: Given, ∫03∫0tt2etududt

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

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

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Q: The functions f₁(x)=e(x+a), f2(x)=e(x+b), and f3(x)=e(x+c), where a, b, and care constants, are…

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Q: 9. S 1 x√64+9x² =dx

A: The given integral,      ∫1x64+9x2dx

Q: •π 2 (sin³r)√1 (sin³ x)√1 + cos x dx

A: Given problem:-

Q: Perform the following integration. 1. (sinhr) (coth² x + csch³ x) dx sec³ x tan x 2. S dx √2 + sec x…

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Q: Determine the intervals on which the function is concave up or down and find the points of…

A: topic- inflection points and concavity