Let f(x)=1/3x+2. Use limit definition to find f'(x) algebraically

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A: Given f(x)=4x and x=2

Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution is given below:

Q: bounded by the curve. Find the area y=2x+₁²₁ y=10x-x²

A: Given:  the curve is y=2x+12                               y=10x-x2

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Q: y-axis about the y-axis 2. Rotate the region bounded by y = 2x², y = 8 and the y-axis about the…

A: Use disk method

Q: Let a = . Find a unit vector in the direction of a

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Q: What interest rate was applied if a loan of ₱54,300 will amount to ₱83,000 after 2 years and 6…

A: NOTE: Refresh your page if you can't see any equations. . here we have P=54300 A=83000 t=2 years and…

Q: Solve: y'' - 4y' + 4y = xsinx

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Q: The table gives the values of a function obtained from an experiment.

A: As per our guidelines we are supposed to to only one question at a time. Kindly repost other…

Q: Approximate the area under the curve y = x² from a = 3 to x = 6 using a Right Endpoint approximation…

A: Follow the procedure given below.

Q: If 4x² - y² = 64, show that ds² = 1/2 (15x² (5x² - 16) dx².

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Q: find the tangent line of the function below f(x)=x+4/x and (2,4)

A: This question is based on finding slope to find out tangent line at a point.

Q: Find the value Saxe-aix dx

A: Given: ∫0∞x e-x10dx

Q: Question 2 Given the equation -5x² + 10x - 5y² - 80y5z² + 60z = −340 a) [1.. Show that the given…

A: This question is based on standard equation of sphere.

Q: 50. Find the center of mass of the region bounded by y = x + 2 and u = ² - 4

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Q: Determine the Riemann sum using L4 over the interval [-1,1]. y = 3x² - 2x + 1

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Q: 6. Ifw = f(x-y, y-x), then show that, ar + L = 0. dx ay

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Q: find y' at y = f(x) уч x 2 x ² y - =1

A: Given function is :-x2y-y2x=1To differentiate it, use :-ddxu(x)v(x)=u(x)ddxv(x)+v(x)ddxu(x).and…

Q: Geometric Interpretations of Equations In Exercises 1-16, give a geometric description of the set of…

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Q: Solve the following initial value problem. (-1/2) dr de = sin(-60), r The solution is r(0) = (Type…

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Q: then find f(x). | f(x)dx = = ln([x]) In(x) - sec(x) - 4e + 2 -x + 6x + C

A: The integration of f(x) equal to the;  ln(|x|)-sec(x)/3 -4ex/4+x2/2 +6x +C.

Q: ey+5 | ey-5 ولا

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Q: e intervals on which f(x) = x² In x is increasing and decreasing, and the ervals of concavity and…

A: Topic:- application of derivatives Definition :-  Inflection point :-  The point of inflection or…

Q: DE 1. xy(5) y(4) + x²y"" = 2yy' TYPE ORDER DEGREE LINEARITY

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Q: 4- If w=e³x+4y cos 5z then Wxx + Wyy+Wzz 5- The general solution of y"+4y+3y=0 6- The series=(1+)…

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Q: Compute the line integral of f(x)=2x over the curve y=x² from (0,0) to (1,1). |

A: The line integral of f(x)=2x over the curve y=x2 from (0,0) to (1,1)

Q: se series to evaluate the limit. 2 lim h→0 (sin h)/h- cos h h²

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Q: an +1 Suppose that an Σ απ( – 16)" gar n=1 →1 as n → ∞. Find the radius of convergence.

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Q: dz 10. Evaluate the integral where C is a simple closed curve cz(z - 1)' in the positive direction…

A: The integral ∫Cdzzz-1, where C is the simple closed curve in the positive directionthat contains the…

Q: Let à . Find al.

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Q: Eliminate the parameter t to find a Cartesian equation for: = t² X y = 2+5t The resulting equation…

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Q: Solve the initial-value problem. dy = dx 4 √x for x ≥ 1 with y(1) = 3 The solution to the…

A: You must have idea how to find solution for differential equations.

Q: an = arn+1 an = arn-1 * The general term of geometric progres Option 4 O anar" a" = arn-1 - Option

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Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,3) N 4…

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Q: The value of the definite integral [²3x²dx 3x² dx is Select one: 3 26 1 26 26 none of the others 26…

A: Solution is given below:

Q: answer = Σ n=0

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Q: Let à = and b= . Find k so that a and b will be orthogonal (form a 90 degree angle). k=

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Q: he time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

Q: Question 4 > 18/17-16-15-14-13-12-11 -18-9-8 -6 -5 -4 1-3 -2 -/ f(x) = 5 4 3 2 ma -2 in your The…

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Q: Use the Midpoint Rule with n= 3 to approximate the integral. S √x + 1dx = [Please enter your answer…

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Q: The value of the definite integral is Select one: O none of the others 45 6 30 -30 [² (3x² - 2x (3x²…

A: Topic = Integration

Q: Let f(x) = { 3x² +2, if x < 2 2x - 3, if x ≥ 2 be a piecewise function. Evaluate [₁ f(x)dx= [

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Q: an = arn+1 an arn-1 Option 4 The general term of geometric progression is an=arn a" = arn-1 Option 3

A: Topic = Series

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: 3. fx³√1 + x² dx

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Q: 4x²5w, if x ≤ -2 5x - 4, if – 2 3 Find w so that f (x) is continuous at x = −2. A. -6 Given: f(x) =…

A: Given that fx=4x2-5w,   if x≤-25x-4 if -2&lt;x≤356x-2, x&gt;3To find :w so that fx is continuous at…

Q: Suppose the line L crosses the y axis at 7 and L is Tangent to a function f(x) at the point (5,3).…

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Q: True or False: Suppose k is constant. Then 5 [² is equal to 10k. Select one: True O False kdx

A: Solve the given intregal

Q: If S then f(x)dx= 10 and is equal to Select one: O 10 05 015 O-5 [². [se none of the others f(x)dx…

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