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Q: y. Vx+ 4 =x•y+ 8. Use implicit differentiation to find dy dx

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Q: Find the slopes of the straight line passing through the following points. (-3,8)(10,5)

A: We know that if P=x1,y1 and Q=x2,y2 are two points.Then slope of a straight line passing through P a...

Q: Determine whether the series converges or diverges. n² – 3n 3 n = 1 nº + n + 5 converges O diverges

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month i...

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Q: n2 +1 2n2 +n – 2

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Q: 2.2 Find the maximum and the minimum values of f(x,y,z) = 5x – 3y +7z on the sphere x +y +z = 83. 2

A: Here we find the maximum and minimum value of f(x, y, z) 

Q: H(x)= e* •e* e2x 1.

A: Derivative of the exponential function: - The exponential function's derivative is represented asd(a...

Q: 2. Sam bought a new car from a dealer. If the car loses 20% of its value each year, the current valu...

A: topic - exponential function

Q: Complete the statements for the function provided. f(x)= cot x Part 1 of 2 As x → n" , f (x) → 00 JT...

A: Given query is to find value of the function fo r indicated limit.

Q: Let y = 3x + 2x + 4. If Aæ = 0.4 at x = 1, use linear approximation to estimate Ay %3D Ay 2 Submit Q...

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Q: 16 2x lim x2 – 4 x – 2 x→2 - -

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Q: Previous question Find and sketch the level curves f(x.y) =c on the same set of coordinate axes for ...

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Q: Find the absolute maximum and minimum of the following function on the indicated interval. f (x) = x...

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Q: Let f(x)=x^4 As f''(0)=0, the point (0,0) must be an inflection point True or false

A: Follow next step

Q: The acceleration function (in m/s2) and the initial velocity v(0) (in m/s) are given for a particle ...

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Q: For -13 <a < 13 the function f is defined by f(r) = x°(r + 8)* On which two intervals is the functio...

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Q: At what point on the parabola y =  3 x2+ 2x is the tangent line parallel to the line y = 10x −2? Use...

A: First prinicipal : dydx=limh→0f(x+h)-f(x)h

Q: Solve simultaneously x' (t) – y (t) + z' (t) = 1 - æ (t) + y' (t) + z (t) = 1 - 1 a' (t) + y' (t) – ...

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Q: What is the domain of the function f(z) = E3)"? %3D en%3D1 n!

A: We have to find the domain of the function.

Q: Unless specified, all approximating rectangles are assumed to have the same width. Let f(x) = (a) Es...

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Q: -x e lim In(1+4e-x)

A: The answer is 1/4

Q: III. Solve the Exact Differential Equation of the following. Write Complete Solution. Box your Final...

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Q: Determine in which quadrant the following angles are located. -105 I

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Q: The function f(x)=x°+3x+6 is one-to-one. Find (S-'(10) Provide your answer in decimal form, rounded ...

A: Here, note that  f-1'(x)=1f'x Because let g be the inverse of f then f∘g(x)=x⇒f(g(x))=x⇒f'(g(x))g'(x...

Q: dy Find by implicit differentiation for the following equation. dx 2x +6Vy =7y dy dx

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Q: Let f(x) = – 5 – 10(x – 3)/6 – a - Determine the absolute extrema of f on 2, 6].

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Q: ∫t4(t5−2)3dt

A: We have to solve

Q: 1. Find the volume of the solid in the first octant bounded above by the sphere a? + y? + (z – 5)² =...

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Q: Find an equation for and sketch the graph of the level curve of the function f(x,y) that passes thro...

A: To find the equation of the level curve.

Q: Consider f' (x) = 12 – 4x be the derivative of a continuous function f. Fill in the blanks below. %3...

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Q: a) If F(x) = f(g(x)), where f(−1) = 9, f '(−1) = 5, f '(1) = 3, g(1) = −1, and g'(1) = 8, find F '(...

A: Note to student :  This question have 4 sub questions. As per our Bartleby Guidelines, we are only a...

Q: Compute the following limits using l'Hopital's rule if appropriate. Use INF to denote oo and -INF to...

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Q: How would I solve ∭xzdV, where E is bounded by the planes z = 0, z=y, and the cylinder x2 + y2 = 1 i...

A: Solution is given below:

Q: Evaluate the limit, using L'Hôpital's Rule. Enter INF for ∞, -INF for –∞, or DNE if the limit does n...

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Q: x3 + 2x – 1 - 4x4 + 4x3 + 3x² – x – 1 -

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) an...

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Q: Zo is a third-quadrant angle and tang = ; using this information find the value. csce= ) 13/12 13/5 ...

A: Given that:θ is in the third quadranttanθ=512

Q: A type of discontinuity wherein the curve appears to the eye, to be continuous, but the single point...

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Q: Find fy, fy, fz- 2 2 f(x,y,z) = 4x - Vy + 4z (Type an exact answer, using radicals as needed.)

A: We have to solve

Q: 17) What is the domain of the function f(x) = E, 6"z"? %3D

A: Given that fx=∑n=2∞6nxnTo find : Domain of functionSolution :fx=∑n=2∞6nxn=∑n=2∞ 6xnfx=6x2+6x3+6x4+6x...

Q: Consider the function X(x, y) 1 x²+y²+1° Please find equations for the following level surfaces for ...

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Q: Let A be the area of a circle with radius r. If dA when r dt dr 4, find 4. dt

A: We have to find

Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. 8x dx...

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Q: Problem 1: For each of the following power series, find the the interval of convergence and the rati...

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Q: 12 Approximate x - 11| dx, by computing Lf (P) and Uf (P) for the partition P = {10, 10.5, 11, 11.5,...

A: Given the integration I=∫1012|x−11|dx

Q: Determine whether the series converges or diverges. n = 4 n - 3 converges O diverges

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Q: Martin is inflating a balloon. For a balloon of radius r, the volume is V = 4/3pi(r)2. At the moment...

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Q: 5. Find all the values x for which the geometric series 00 (-5)"" n=1 converges. and the sum of the ...

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A: Given, y= 3x/(x²-9)

Q: - (a). Use a linear approximation to estimate (1.99)ª. [Hint: Use the linearization of f(x) = x*.] (...

A: linearisation