dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: QS: Find the first derivative at x = 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057…

A: Solution: Given

Q: Find the arc length of the graph of r(t) = ev#ti + e¬V%tj+2tk, 0<ts v2In 5 NOTE: Enter the ezact…

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Q: Use the like-bases property and exponents to solve the equation x – 6 = 23x – 1 2

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Q: We must also convert dx into an expression involving u. We know that du dx, and so x3 dx = X du.

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Q: s+13 Find the inverse Laplace transform of s2-6s+34

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Q: Write the sum using sigma notation: A 5+8+11+ 14+· + 44 > B, where ... TL 1 B 41

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Q: he area is sketched below. ide the area below the curve into ple point of each rectangle. Ske AY

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Q: x² – 1 Evaluate lim X +1 x2+3x-4

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Q: Step 4 tan-(8x), then converting back to an expression in x we get u2 + C = 16

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Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

A: Given problem:- Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere…

Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: A manufacturer believes that the cost function C(r) 3 +51z + 680 approximates the dollar cost of…

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Q: Evaluate f x3 using substitution (3–2x)5

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: The buyer for a retail store located in a shopping mall has convinced himself that if he prices…

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Q: Solve the following equation in the complex variable z: |z|2 = 12 − |z| and draw the result on the…

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Q: f(x)=x^3+6x^2−63x+6 A. interval [-8,0] 1.Absolute Max= 2.Absolute Min=  B. interval [-5,4]…

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Q: x+1 2)y = ln Vx-2

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Q: Joann took 20 minutes to drive her boat upstream to waterski at her favorite spot. Coming back later…

A: This question can be solved using the concept of speed,time,distance and relative speed

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: d sin x 1 dt| = dx et + 5 cO X 1 1 1 (A) esinx + 5 (B) e* + 5 (C) (esinx + 5) cos x (D) e sin x

A: We know that integration power rule is given as - Integration of xn is nxn-1.   Here i attached the…

Q: Identify the value of the function f(x)=log10x at x = 315, Round to 3 decimal places. 3.498 2.498…

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Q: Question 8 Evaluate the integral below by interpreting it in terms of areas. In other words, draw a…

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Q: Use implicit differentiation to find the equation of the tangent line to the curve xy + xy = 18 at…

A: We can solve this as follows:

Q: Q2\Find the point at which the tangent to the curve y = v4x² + 1 – 2 a)find the equation to the…

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Q: Find the area of the region between the following curves by integrating with respect to y. If…

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Q: 3. Find the derivative of each of the following functions. Justify your answer. I sin z (a) f(x) =…

A: As we know that; The Product rule: f·g'=f'·g+f·g' The Chain rule: fgx'=f'gx·g'x   And…

Q: Complete the table for a savings account in which interest is compounded continuously. Amount after…

A: Given query is to find the time taken to double the investment and amount after 10 years.

Q: dy 20. Use implicit differentiation to find the derivative for the curve defined implicitly dx by…

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Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

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Q: Find the domain of y = log(2 – lx). The domain is:

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Q: 2. Calculate the following limits. Justify your answer. L'Hopital's rule Rule ) (without using 2x +1…

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Q: In the following diagram, the rectangle ACEG is divided into four congruent rectangles. F E a) List…

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Q: 7. (2x-y)dx+x dy = 0 Ans x+=c

A: Given problem:- solve (2x2-y) dx+xdy=0

Q: Compute the given integral. +C

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Q: Verify if the following vector fields are conservative: 2y 21 a) A1 = (1+æ²+y² > I+x²+y² b) Ã, =…

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Q: Determine the area enclosed by f(x) = a° + æ? – æ + 7 and g(x) = æ³ – 2a + 27. The region in…

A: Here  we have to find the area bounded by the curves.

Q: A theater has 27 rows of seats. The first row has 18 seats, the second row has 20 seats, the third…

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Q: Let y tan(3x + 6). Find the differential dy vwhen a 2 and da 0.4 Find the differential dy when z 2…

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Q: 3x - - 4y 2xy 96

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Q: Describe the graph of the equation. r= 18 cos ti - 9 sin tj - O tis an ellipse in thez = 1 plane,…

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Q: Given the relation x² – xy + y³ = 11, determine the slope of the line tangent to the curve at (-1,…

A: Explanation of the answer is as follows

Q: Given f(x, y) = 2x* – 4xy – 2y?, find frr(x, y) = fzy(z, y) =

A: Solving the problem by finding the partial derivative.

Q: 7.4 Partial Fractions 11.10 Taylor and Maclaurin Series Find the Taylor series for f(x) centered at…

A: We are given f(x) = 8x - 3x3 We have to find taylor's series expansion of f(x) centered at a=-2 and…

Q: c. 2x³ + 7x² + 9x- 18; x+3 d. 6x3 + 11x2- 11х-16;B 3х?-х-3 1. Use long division to find each…

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Q: AB is the vector from the point (1, –2) to the point (5, 1). Find a unit vector in the opposite…

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Q: What is the minimum value of p (p>1) for which Q. 19 COS X dx <-? 9. 10 1+x

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Q: F(x)= x-2 / x^3 F'(x)= 6-2x / x^4 F''(x)= 6x-24 / x^5  1. Find the local maximum and local…

A: To find local maximum and local minimum  and inflection points of given function.