ALFind the equation of the tangent plane to the surface z = e/7 In(ly) at the point (-3, 1,0). Note: Your answer should be an expression of x and y; e.g. "5x + 2y - 3"

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'...

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Q: dy given the equation z + y° = e. dr Use implicit differentiation to determine dy dx > Next Question

A: Given query is to find the derivative of the expression.

Q: A one-to-one function is given. Write an equation for the inverse function. X-4 v (x) = x+5 (x) = D

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Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: 238 The isotope of plutonium 40° Pu is used to make thermoelectric power sources for spacecraft. Sup...

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Q: Write the first five terms of the arithmetic sequence. a1=3, d=6

A: Let's five terms of arithmetic sequence are a-2d,a-d,a,a+d,and a+2d Then a-2d=3 ,d=6 a=3+2×6=3+12 a=...

Q: r-3 Given the functions f(x) = 3+ VT, g(x) = x- 3, h(r)= m(x) = find the following: 3x + 5° 5r -1' (...

A: According to our guidelines we can answer only three subparts and rest can be reposted.Kindly repost...

Q: D. A student attempts to solve the differential equation dy %3D ry' with the initial condition that ...

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Q: Find the derivative of the function g(x) 3+5x (2), 6 > Next Question

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Q: VI. Give the Maclaurin series expansion of f(x) = In(2 - 3x). Determine its interval of convergence....

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Q: Find the critical numbers of the function f(x) = 2x3 - 15x2 + 36x - 24. O a. -2 and 3 O b. 2 and 3 O...

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Q: Given the following multiplication problem Equation 1: - 24V,=-8V2 -24 8 gives us equations -2 Equat...

A: From the matrix, we have the eigenvalues as  λ1=-26λ2=0 When, λ1=-26 the eigenvector is μ1=-41

Q: 10 12 13 14 f(x) 3 6. 5 26. The table above gives values of the continuous function f at selected va...

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Q: Find dy if y =log Viax alog (L_x²) a .2

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Q: 4. Find the constant a so that e +y = I-l is an implicit solution to e %3D tay O 5/2 О 32

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Q: If y=x^4−5 and dx/dt=−1, find dy/dt at x=−3.

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Q: Given the following multiplication problem – 12 -3 V Perform the multiplication to find your two equ...

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Q: dy Find the function y(x) satisfying = 30, y'"(0) = 4, y'(0) = 6, and y(0) = 6. 3 d'y = 30, y''(0) =...

A: Let's find. 

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x2 = 8y, th...

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Q: show all working so it is easily understandable The number of women in the workforce, based on data...

A: Topic:- Geometry

Q: Find the differential of the function w = I sin(2yz). dw = dy + dz + xp Note: Your answers should be...

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Q: The equation of a circle in general form is x2+y2+x−6y−2=0. What are the coordinates of the center ...

A: Topic:- geometry

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 33.2x = y? F...

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Q: Determine if f is differentiable at r = 0 given that 4 cos-1 ), if – 2 0, r# 1.

A: The given function,  f(x)=4cos-1x2,if -2≤x<0x3+2πx-16,if x≥0, x≠1

Q: Give the equation of the horizontal asymptote, if any, of the function. h(x) = *+6 x2 - 64 no horizo...

A: We can find the equation of horizontal asymptotes as below

Q: Let h, k, m, neR such that n > m >0. A general equation corresponding to the above surface is: A) (z...

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Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to x hundre...

A: Given query is to find the rate of change of supply.

Q: 8) y"+4y' +5y= 0

A: Since you have posted multiple question, as per guidelines we can solve only one question at a time ...

Q: Find a formula for thr nth term of the arithmetic sequence. 24,22,20,18,16, …

A: Given query is to find the nth term of the sequence.

Q: Use the derivative to find the critical point of f(x) = Ax² + Bx + C. Assume that A, B, and C are no...

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Q: 1 7) Find the antiderivative: S 3x2-6x+12

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Q: Solve the following equation for 0 on the interval [0, 27). -V3 tan (0) – 6 = -3 Enter an exact answ...

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Q: 3. s varies directly as r and inversely as square of difference of q to t. If s-12 when r-10, q=5 an...

A: s varies directly as r and inversely as square of difference of q and t. If s=12 when r=10, q=5 and ...

Q: Write the equation in logarithmic form. 10° = 1000 The equation in logarithmic form is

A: Solution in logarithmic equation is given

Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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Q: Let the region R be the area enclosed by the function f(x) = x° + 2 and g(x) = 4x + 2. If the region...

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Q: Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the s...

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Q: 1. Express B= 2i +j-3k as the sum of a vect or parallel to A = 3i - j and a vector orthogonal to A. ...

A: To express the vector B→=2i^+j^+3k^ as the sum of a vector to A→=3i^-j^. Solution: let B→=2i^+j^+3k^...

Q: Simplify the expression without using a calculator. log0.00001 =

A: This question is based on properties of logarithm.

Q: Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 co...

A: Given : Instead of weighing all of the cows: Robert weighs 25 cows and gets an average weight of 1,5...

Q: (금) - for n eN = {1,2, 3, ...}. 1. Let an = sin' sin n+1 1. Determine if the sequence {an}=1 converg...

A: The given sequence,  an=sin-11n-sin-11n+1 for n∈ℕ=1,2,3,....

Q: +3 dx 82x +3 (A) 2in(8) +C 82x +3 B +C In(8)2 82x+3 + C In(64) 42x +3 In(8) D - + C

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Q: Determine whether the improper integral diverges or converges. 00 dx 12 converges O diverges Evaluat...

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Q: 3. Find the constant a so that o(x) = re2 is a solution to y+ay- e =0. 0 4 O 3 0 1

A: ϕ(x)=xe2x is a solution to y'+ay-e2x=0

Q: tan (x) sec" (x)dæ

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 x = -(y2 + 2)3...

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Q: 18) 4y"+4y'+17y=0

A: Given: 4y''+4y'+17y=0 So, we can also write as; 4D2+4D+17y=0 The auxiliary equation is: 4m2+4m+17=0

Q: Question The function s(t) = 3t2 – 4 gives the position in feet of a moving object at time t seconds...

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Q: Sieun hits golf balls into the air, Each time she hits a ball she records 0, the angle at which the ...

A: We have to find the graph is increasing or decreasing at θ=50 and an expression for the function of ...