Q: find Vx+4--x-2 1- lim --3 x+3

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: Evaluate the following integral: 3x sech2 (In sin(x²)) 24. 4 tan(x²)

A: Given :  Let I=∫3x sech2ln sinx24 tanx2 dx To Find: To evaluate the given integral.  

Q: # 8.) (8 # dy + Bernoulli s D.E, dx - 3xy2 dx =0> DET. THE GEN, soL'N OF THE D.E.

A: As we know that; The standard form of Bernoulli's equation is; dydx+Py=Qyn Where; P& Q is the fu...

Q: what is the avorago valus OF a Funckon F on an Posterval [a,b]? 13 the given by vallis of Fa)-tan X,...

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Q: The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where O...

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Q: Find the following using the table below. 1 2 3 f(x) f'(z) g(x) 1 4 4. 1 2 4 (x),6 h' (2) if h(x) = ...

A:

Q: SF S"(x² cos y – sin x) dxdy 2

A: Given that: ∫0π2∫0π(x2cosy-sinx)dxdy

Q: S sin?y dy

A: Here we will solve given integral,

Q: At what point does the graph of 3x+y=0 and x-y=D4 intersect?

A: Given: 3x+y = 0 y = -3x And x-y = 4 y = x-4

Q: 21) In Problems 21 through 26 are given (xa)'= a xa-1, (x)' = 1, ( constant )'= 0, (sinx)' = cos x, ...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Evaluate the definite integral: 4 dz

A: Evaluating the definite integral

Q: Find the Taylor polynomial T;(x) and compute the error |S(x) – T2(x)| for the given values of a and ...

A:

Q: A cup of hot coffee is placed in a cold room.  The temperature (in degrees Fahrenheit) of the coffee...

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Q: 1- y = vx – 1 dy 2- y = prove that (sin x) dx = cOs x

A:

Q: Solve the separable equation using the integral factor  Sinx dx + ydy = 0, when x=0, y=1

A: Topic:- application of integration

Q: The function gives the cost to manufacture x items. C(x) = 30,000 + 10x + 50,000 -; x = 100 Find the...

A: Given problem:-

Q: eros voR-SI ioNO WDW WCLN PCMath 12 - Rev. 2019 3. Find the general solutions rounded to two decimal...

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Q: Evaluate the following integral: 1 dx 1+ 36x2 Note that an arbitrary constant has been added for you...

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Q: cos (a + 8) y= dy Find da dy Immum dx Type sin(x) for sin(x), cos(x) for cos(r), and so on. Use x^2 ...

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Q: It is DC if not. 1. Answer C. a. lim f(x) X-2 b. lim f(x)

A: Given that: 2. Graph of f(x)

Q: Directions: Use the reference angle and appropriate sign to find the exact value of each expression....

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: Which among the following illustrates the limit of an identity function? O lim z = - 1 lim a = 1 I-1...

A: Given that: Limits of an identity function

Q: Find the derivative of the function using the definition of derivative. g(x) = /2 – x g'(x) = State ...

A:

Q: Solve the differential equation: (2y+3)y'=-(1-3t²)

A: Given that: (2y+3)y'=-(1-3t2)

Q: Compute the surface area of revolution about the x-axis over the interval [0, r] for y = 3 sin(x). (...

A: We need to find surface area.

Q: dy dx こD > SOLYE FOR THE GENE

A: Please refer to the image below 

Q: Given the following table, give the best estimate for f'(9)- f(9) 6. 12 15 f(x) 37 42 48 64 23 8. Th...

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Q: Let R be the region bounded by y = 7 sin(z), y = 7(x – 2)*, and y = 3x + 4, and containing the point...

A: R be the region bounded by y=7sinπ2x, y=7x-22 and y=3x+4that contains the point 2,7.

Q: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 4.6 cm/s?...

A:

Q: 4.8 0.6 1.4 Given 14.5 -0.5 2.3 the 7.6 2.1 3.4 multiplier required to make the element a31 to be ze...

A: Find your answer below 

Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direct...

A:

Q: Find the cartesian equation of the following: 6 1. r = 3-sin 0 2. r2 cos(20) = 4 %3D 9. 3. 4 sin(20)...

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Q: 3. The graph shows a hill walker's trek. She stopped for a rest at 12:00 and for lunch at 13:00. 11:...

A: Given, the distance-time graph of a hill walker's trek. We know that, the slope of a distance-time ...

Q: Math 150 PO1 Homework: HW 2.6 Part 1 Applications of Derivatives Question 8, Instructor-created ques...

A: height of ball is given by f(t)=-16t2+298t+22 we want to find velocity of ball at height 120 feet

Q: tanh 2x ln (cosh 2x)dx

A: Evaluate the integral ∫tanh2xlncosh2xdx

Q: Let f(a) = V5z + 2x + 5 f'(x) = [ f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: 4 -2 -3 -4 -6구 The graph above is a transformation of the function f(x) = |x| Write an equation for ...

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Q: If f(x) = (a + 3r + 2)", then f'(x) - f'(1) =

A: To find out f'(x) and f'(1). 

Q: Let us say that you are planning to calculate the volume of the space inside a can that is about 3 i...

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 9 - 5 lim X-4 x + 4

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Q: 1. lim f(x) : = -1 and f(1)DNE 2. lim f(x): = 1 and f(0) = -3 3. lim f(x) = -2, X →2- lim f(x) x → 2...

A: We have to graph the function asper the given limits.

Q: Given the following table, give the best estimate for f'(3) 6. 12 15 f(x) 30 41 51 60 28 The estimat...

A: Function values are given in the table, we have to find the estimate for f'(3)

Q: Evaluate the definite integral: dz 15

A: We have to solve the given definite integral

Q: Consider the following. if x <1 if x 21' f(x) = a = 1 (a) Find the left-hand and right-hand limits a...

A: Topic:- calculus

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Find the equation of the curve at every point of which, the tangent line has a slope of 2x.

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Q: The following statement is TRUE except A. Derivative is the same as slope. B. A function is continuo...

A: Given that: A. Derivative is the same as slope.B. A function is continuous at a number a if limx→a-f...

Q: Consider the function f(x) whose second derivative is f"(x) = 10x + 10 sin(x). If f(0) = 4 and f'(0)...

A: Given that: f''(x)=10x+10sinx

Q: Solve for the differential equation: x (y -1) dx + (x+1) dy = 0. If y = 2 when x = 1, determine y wh...

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Q: Use the Simpson's Rule to approximate the given integral with n = 8. (Find S8.) Round your answers t...

A: Given,∫0211+x6dxHere n=8, therefore h=b-anh=2-08h=14 Now we create table  x 0 1/4 1/2 3/4 1 5/4 3...