1 83 -8 14(e++e²¹) Option 1 - 1 + ½ (0²¹ + ²) Option 2 1+1(e²¹+ e²) Option 3 - -/-(e²+ + e²) 1. Option 4

Q: 5.) Find fog and go f, and their domains. f(x)=√x - 4, g(x) = x²

A: Given :f(x)=x-4g(x)=x2

Q: x²y" - 3xy' - 2y = 0

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Q: dy Assuming - 2x³ + 8y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dx dy…

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Q: Find the general antiderivative of f(x) = + C - 5x¹ x² +6√x

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Q: c) y sin 53x =

A: Given :y=sin53x

Q: 4x²8x + 5 on the interval [0, 5] by comparing values at the Find the minimum and maximum values of…

A: topic- application of derivatives

Q: Evaluate the following integrals: O •(Cartesian to Polar) Given the Cartesian coordinate, find FOUR…

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Q: Əw Given w = xysin(z²), x=s-t, y=s², z t². Find Əy əw ду = y sin z ² Option 1 O Option 3 aw = x sin…

A: Topic:- derivatives

Q: Find all critical points of the function f(x) = 2x² 7x²2-2x+4* (Use symbolic notation and fractions…

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Q: Sketch the graph of the piecewise defined function: f(x) = 2, x ≤ −1          x − 1, x > −1

A: Given  f(x) = {2,   x≤-1              x-1, x>-1}

Q: 9) Use Fubini's Theorem to compute the double integral ƒƒ_ƒ(x,y)dª_where…

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Q: Choose one(1) from the following question to be answer. The graph of each rule must reflect on your…

A: A) The given function is f(x)=x33-2x2+12 ................................... (1) from -2 to 7 using…

Q: to find the aren ruse 2) Use a polar integral enclosed by the three-petaled r = singe

A:

Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

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Q: For each given functions, find the slope of the tangent at a given point using first principle…

A: We have to find the equation of tangent.

Q: Use the by revolving The C Type an 4 S 3. to the nearest AY N Ə Shell Method the shaded is Cubic…

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: f) Use L'Hopital's rule to evaluate: sin x lim X-0 X

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Q: A drag racer accelerates at a(t) = 96 ft/s2. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A: To find out the distance/position function.

Q: If A = 3ai +4j-k and B=4i+j-3k, find the value of a if A normal to B.

A: Given A→=3ai^+4j^-k^  and B→=4i^+j^-3k^

Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

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Q: - 1/2 Find the gradient of f(x,y,z) = (x² + y² + z²) 23 23 26 Vf|(- i+ - (-2,2,-1) 54 |j+ 54 27…

A: The function is f(x, y, z)=(x2+y2+z2-1/2+ln(xyz)  The point is (-2, 2, -1)

Q: What do you call the numbers below. Ta(1) 2= 1^3 + 1^3 Ta(2) = 1729 = 1^3 + 12^3 =

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Q: . Find the integral of your answer in problems 2a and 2b.

A: 2. Write the given (total) area as an integral. Given problem:- a. The area above the x-axis and…

Q: 9.) Find all horizontal and vertical asymptotes of f(x) = 4x 5 - x² - 9

A: The given function is f(x)=4x-5x2-9 First we factorize the numerator and the denominator.…

Q: 3) Grandparents place a continuous stream of $1,000 per year into a college fund which has a…

A: As per our guidelines we are advised to solve first question . Please upload other questions as a…

Q: Find the 23rd term of the Arithmetic Progression -7, -3, 1, . . .*

A: 1.  The given arithmetic sequence, -7,-3,1,....... Note:     Multiple questions are given, we are…

Q: Flag question Find all the possible x-values of f(x) = √√x - 10

A: In this question, we need to find the possible x-values of the given function.

Q: cos 2t cos 5t 8 S³ + 29 (s² +49) (s² + 9) Option 3 S S s² + 49 s² +9 Option 2 O None of the Choices…

A:

Q: y = 25

A: Topic:- function

Q: Given R(t)=4 cos ti + (1+3cost)j +5sintk. Find T'(t).

A:

Q: and y = - V 8) Let ze, where x = √uv and Find dz dy in terms of u and v.

A: Use partial derivatives.

Q: 4- у ду dx 2 ху +x = 0

A:

Q: Consider the following series, (x - 2)" Σ n5 + 1 n=0 (a) Find the radius of convergence, R , of the…

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Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 using Lagrange…

A: answer is in next step

Q: what is b if ( log b x) ' = 1/3x

A: Concept: Derivative of log(x) is  logx' logx'=1xln(10)....................(as log is default base…

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

A:

Q: Evaluate lim x-0 1-√√1+x X

A: Given problem:-

Q: Find x' for x(1) defined implicitly byx+x+1-9=0 and then evaluate x' at the point (-2,1). x-2.1)…

A:

Q: Find the gradient of f(x,y,z) = (x² + y² + z²) 23 26 Vf|(-2,2,-1) = i+ 23 54 |j+ 54 27 (Type…

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Q: Water is flowing in a conical reservoir 40 ft deep and 16 feet across the top at the rate of 2…

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: M8 n=1 3 n 4 n* + 4

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Q: (-2, 39) 4 10 10 20 10 10 -20 30 40 1 (14) (27) 3 B. Locate and classify the critical point of y =…

A: The equation of the curve is given by , y=23x3-2x2-6x+2Now, We will apply the second derivative test…

Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

Q: {CLO-3} Find the absolute minimum value of the function f(x)=x²-3x²-24x +5 on the closed interval […

A: This question can be solved using the concept of absolute maximum and minimum.

Q: Find the derivative of the function using implicit differentiation.  1.) x²y + y²x = -2  2.) √(xy)…

A: 1.) x²y + y²x = -2    2.) √(xy) = x²y+1 ntiderivatives for integral notation. (x+7) dx

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

A: Topic:- application of derivatives