Find the area bounded by the given curves, axes and/or lines. 1. y? + x – 4y = 5; y-axis %3D

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A: Here, the given function is: f:ℝ-{2}→ℝ and f(x)=x+42x-4

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A: To solve this problem we use pythagorous theorem.

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A: Explanation of the answer is as follows

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Q: Find dy/dx of 6x? – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 -4/3

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the indicated derivative and simplify. 2x - 4 y' for y = 2 + 8x %3D

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Q: Solve 12 sin (t) + 2 cos(t)- 8 = 0 for all solutions 0 <t < 277 t = Give your answers accurate to 2…

A: The given equation,      12sin2t+2cost-8=0

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: be the solid enclosed by the paraboloid z = -x² – y² and the cone 2? = x² +y?,z > 0.

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Q: 8 Evaluate ( - 12vt)dt Select one: 666 a. 654 13 664 O C. 15 660 Od. 15

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A: Given query is to find the derivative and equation of tangent line.

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A: To determine whether the given integral converges or diverges.

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A: Here we have to find the volume.

Q: Find the area of the region that is enclosed between y = 11x? – 2³ + x and y = x? + 25x. The area is…

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Q: Evaluate the given imit 1. lim (x-1)? 2 メ→! In x 2. lim 3X - 2 × 3. lim (4x+1) ot x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: Find the area of the region between the curves y = 12 – a? and y = x² – 6. Area between curves =

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Q: ) Find eigennwaly gse for -5- OA= L-4 to -구

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Q: the line tangent to the graph of f at the indicated value of x. Find the value(s) of X where the…

A: The given equation is  f(x)=ln(4-x2+2x4); x=1.

Q: |+ 3t -dt 11t Simplify the integrand by dividing eac .5 |+ 3t -dt = 11t |dt Type an exact answer.)

A: Given:∫1+3t511tdt

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A: Solve the following

Q: 5. Use Linear Approximation to estimate e(-0.01). Show work

A: answer is in next step

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: topic- limits

Q: fi(x)-2• sin(x) -3- R 3- 5- 3.* 4. 4 2 -2

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Q: 1. Determine the exact value(s) of k for which the planes x– 2y + kz + 7= 0 and x– 2y – 2 = 0 have…

A: Note: According to our answering guidelines we have to answer only one question if multiple…

Q: Maximum Area An animal shelter has 176 feet of fencing to enclose two adjacent rectangular playpen…

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A: Here we have to find the volume.

Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 4. 3, 6, 12,…

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Q: 1/2 dx 1-х4

A: Let 1-x4 = t

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Q: Calculate the volume of a cylinder inclined at an angle 0 = 30° whose height is h = 9 and whose base…

A: Solved below.