derivativ

Q: Write the first 5 terms of the sequences with general terms an below and indicate whether they are ...

A: Since you have posted here many questions, i can answer only first three subparts. Please repost rem...

Q: Evaluate the integrand given below

A:   Definition used -                                                                       Where F(x...

Q: REFER TO IMAGE

A: F(x,y) = F1i + F2j F1 = x - y2 + 2 F2 = xy + y 

Q: Express the following as the sum of partial fractions. x3-x2-8x-1 x2-3x-4

A: The numerator x3 - x2 - 8x - 1 is of degree 3 and the denominator x2 - 3x - 4 is of degree 2. So we ...

Q: sin (x²) dx.

A: Solution

Q: Find two numbers with difference 90 and whose product is a minimum.

A: Solution: The objective is to find the two numbers with the difference 90 and whose product is a min...

Q: If f(1) = 23z+ 25, find the slope of the secant line between the values of z, %3D 10 and 12 = - 6. %...

A: F(x) = 23x+25 X1 = -10  X2 = -6

Q: Find dy/dx by implicit differentiation, given that x^2y-7y^8=-2 Your answer could involve both x and...

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Q: Find the second derivative of f(x)=2sin(3x)

A: Differentiate two times

Q: Use disk method

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Q: Q3/ Find ſ Vx * Sin (x³2 -1) dx=? (by substitution)

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Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = 1/2x4 − 4x2 + 4 (a) ...

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Q: 07. For the equation ginen below, evaluate y' (2,2) paict c५ +्2%-02 3 3r- + at the y at (2,2)=? %3D

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Q: 20. e2= cos(z/4) dz

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Q: Calculus Question

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Q: l1. The fiqure below shows a three lamp, located right of the created units to the 4-anis and a shad...

A: Answer is below

Q: please solve these and explain how

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Q: Find the absolute maximum and absolute minimum values of f on a given interval. f(x)=2x^3-3x^2-72x+...

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Q: Find a formula for RN and compute the area under the graph of f(x)=5x^2+35x over [6,11] as a limit. ...

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Q: Find the center of mass of the given system of point masses. (x, y) =       mi 5 1 3 (xi,...

A: To find the center of mass 

Q: find the area between the three equations below using the area between equations method

A: First,we have to draw the graph

Q: The evaluation of S V1 + tan2x dx is C In(V2) +1 In(vZ+1) C In(vZ-1) O-In(vZ+1)

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Q: Find the (x, y) co-ordinates of the two stationary points of the function f(x, y) 3x2 + 6xy +2y³ + 1...

A: Given-  f (x, y)  =  3x² + 6xy + 2y³ + 12x - 24y So, 

Q: Evaluate the limits below using any appropriate method. If used L'Hopital's Rule, state that you did...

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Q: Ln(x²) = [In(x)] ²

A: As per our Company Guidelines we are supposed to answer only one question at a time. Kindly repost o...

Q: Classify the type of discontinuity manifested by the function   F(X)= x+3/x2 +4x-5

A: Given F(X)= x+3/x2 +4x-5

Q: Locate and classify all extrema in the graph. (By classifying the Extrema, we mean listing whether e...

A: The relative minima will be at the point where the curve is concave. So from graph,  Relative minima...

Q: 1 dx 1+ Vx

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Q: Show me the work

A: Given series forms infinite term of geometrical series

Q: Evaluate the following integrals using partial fraction.

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Q: Find a value for the constant "a" that will make the function f(x) continuous. f(x) = { ax- if xs2 5...

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Q: 12 b 4. The partial fraction decomposition of n be written in the form of (x-1)(x+2)* x+2

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Q: (a) Write the first 5 terms of the sequences with general terms an below and indicate wnether they a...

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Q: x³+2x2-2x+5 Find the indefinite integral J dx using partial fractions. (Hint: polynomial division fi...

A: Using polynomial division & then method of partial fraction.

Q: Determine h(x - 1) for the following function. - 3x h(x) = x2 - 2x-3 %3D

A: Given function is 

Q: find the area bounded by the curve ay=x^2 and the lines y=a and y=4a

A: The formula for the area bounded by the curve, f(y) between y=c to y=d is given by .

Q: A young woman is in the market for a new car and wants to know the mechanics of operations  to save ...

A: The graph of the functions are as follows: Since x represents the number of years, it cannot be neg...

Q: Q2/ Find the area of a region bounded by the curve f(x) = 8x' and x-axis and the two lines x=1, x=3....

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Q: Find the minimum and maximum values of the function subject to the given constraint f(x, y) = 12x² +...

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Q: 4- x2 Change the Cartesian integral dy dx into an equivalent polar integral. Then evaluate the polar...

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Q: Introduce an appropriate coordinate system and find the center of mass of the planar lamina. (The an...

A: This question is about application of calculas to find center of mass From data image is as follows

Q: x+a sin x+b + cos dx т n Evaluate the Integral

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Q: Find dy/dx if : Y =x(x/a) + √ a2 - x2

A: Given: To Find:   

Q: Find the third derivative of f(x) ?

A: Answer is mentioned below

Q: Find the derivative of f(x) = (x^7-4x)(x^2+4x-1)

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Q: What is the partial fraction decomposition of  (x2+2x+3)/((x-1)2(x-2)(x2+4)) using A, B,C, and D in ...

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Q: 08. Assyme that The fuyctign 4defined g defined femetionof ginen, egua jon. se the odhnique implig d...

A: solution is given below

Q: 1 Find the equations of the lines (i) - (x) in the diagrams below. ( (iv) (vi) vii) (vai)

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Q: Solve the following for X, where 0 ≤ x < 2πAnswer in terms π.sin x - sin 2x = 0

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Q: Find dy for y = ln dx ² cosx %3D sec x

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