x+3 4. S dx (x²+6x)²

Q: Which Riemann sum represents the illustration shown? AY 32+ 24+ 16+ 8+ X 1 2 3 4 4 o 1 2 2x,² i=1 3 ...

A: The points in the curves can be identified as: x=2, y=8 x=4, y=32 So, the curve represents the funct...

Q: Find the horizontal asymptote(s) of the function p(z) f (x) Va(z) where p (x) = 3x? – æ – 2 and q (x...

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Q: Let V be the volume of a pyramid of height 20 whose base is a square with side length 8.

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Q: 4. Consider the function g(x) = r+3° a) Find the derivative of g using differentiation rules. b) Ver...

A: The given function, g(x)=2x+3

Q: Find the volume of the solid generated by revolving about the line y=-1 the region bounded by the li...

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Q: Find the derivative of f (x) = arcsin (x²). 2x f' (x) = 1-a4 f' (x) V1-x4 2x O f' (x) = V1-a² O f' (...

A: Use differentiation of trigonometric function

Q: Write a full solution  Let consider the following function: ?(?) = 2(? + 1)^2  −8.  A) Find the x-...

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Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the domain and the range of the function f.

A: Topic = Functions   Domain x∈-∞,-1∪-1,∞RAnge fx ∈-∞,-1∪-1,∞

Q: The center and radius of 4x2 +24x + 36 + 4y?-8y 100 is O Center: (3,-1); radius = 26 %3D O Center: (...

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x^2+8 and g...

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Q: Find the total mass of a 5-m rod whose linear density function is p(x) = 3 + cos (Tx) kg/m for 0 < x...

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Q: nd the volume of a solid obtained by rotating the region underneath the graph of f(x) = 3x³ about th...

A: We have to find volume

Q: et* +2e* e* +1 xp -

A: Topic = Integration

Q: Evaluate the indefinite integral. 3x sin(4x)dx

A: The given integral,      ∫e3xsin(4x)dx

Q: 5.Find the area of the surface generated by revolving the given curve about the y-axis. x= 19- y, - ...

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Q: 3. S 10x(x² – 1)ª dx 4

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: Let cH)=LE?, t,6">, a) T(1) 5) K1)

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Q: -1 Compute the area of the region enclosed by the lines y = r and y = z and the curve r = 10 – 2y?. ...

A: This question is related to application of integration.

Q: Evaluate e dV where E is enclosed by the paraboloid z = 4 + x² + y², the %3D cylinder x? + y² = 3, a...

A: We need to evaluate integral.

Q: b. e-Y sec² y dy = dx + xdy

A:

Q: .3 f(x)dx = 5, f(x)dx = 2, and f(x)cx= - 1, find f (x) dx If A) 2 в) -з c) 3

A: Topic = Integration    

Q: QUESTION 1 a) Find the interval(s) on which the curve f(x)= x°(x- 3) is increasing and/or decreasing...

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Q: A cylindrical gasoline tank with radius 4 feet and length 25 feet is buried on its side underneath a...

A: Volume of a cylinder is given by V = πr2h, where V is the Volume of cylinder , r is the radius of cy...

Q: 4 1-1 if I 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(z) = lim...

A: We have to find out limit

Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters y = Ce2x cos(3x) + Cze2* sin(3x)

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Q: 2. In problems 1-5 verify that the indicated function y = Ø(x) is an explicit solution of the given ...

A: As per company guidelines we can solve first three parts. I hope that the given solution will help y...

Q: Find all values of m for which y = emx is a solution to the equation y" + y'- 2y 0.

A: Calculate y' and y" , then put value of y,y' and y" in given equation and solve it. 

Q: 2. ху 4 a. when x=8 10 dx b. when x-1 dt dy dt -6

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Q: 2. Let f(x, y) = In(x² + y²). Show that fre + fyy = 0. %3D

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Q: find the centroid of the solid formed by revolving about the x-axis the solid formed by the curve x=...

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Q: Express the function below in rectangular form, (-1+i)-1+i

A: The magnitude of -1+i is = r=-12+12=1+1=2. Angle is = θ=tan-1yx=tan-11-1=tan-1-1=3π4. So we can writ...

Q: Find the inverse laplace transform of F(s) = 6s/(s^2 + 25) + 3/(s^2 + 25) * %3D

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Q: Let f(r) Find the values of x where f'(x) = 7. I + 8 Give exact answers (not decimal approximations)...

A: We will find the solution of given function as shown below

Q: r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the positio...

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Q: Obtain the solution to the differential equation: (3x²y² + 2y³)dx + (2x³y + 6xy²)dy = 0 x³y² + 2xy³ ...

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Q: (a) Find the mass (in mg) that remains after t years. y(t) = mg (b) How much of the sample (in mg) r...

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Q: 5. (D² – 4D + 4)y = 12x + 2e3*

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Q: Which trig substitution is correct for this integral? А. x = 8tan(0) B. x = 64tan(0) x = 64sec(0) D....

A: Follow the procedure given below.

Q: Find the average value on the interval 3, 6| of the function whose graph appears below. average valu...

A: Average value of a function f(x) over interval [a, b] is given by the following formula :-          ...

Q: 1. Find: (a) the intervals on which f is increasing, (b) the intervals on which f is decreasing, (c)...

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Q: Which of the following is equal to cos x- sin' x ? 4 | O sin 2x O - sin 2x | O - cos 2x

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Q: xdy − ydx = x^2dy, Solve for D

A: We can solve the DE as below

Q: Find the volume obtained by rotating the region bounded by x = y² and ¤ = y around the r-axis. %3D

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Q: Find 18. | cot°0 sin*e de

A: Since we are given with the multiple number of questions and our guideline is solve the problem.

Q: d (4z' +7z+8 2.)- dz Evaluating the derivative using quotient rule:

A: Given that ddz4z3+7z+8z Solution :using quotient rule ddz4z3+7z+8zzddz4z3+7z+8-4z3+7z+8dzdzz2z12z2+7...

Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

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Q: Find the radius of convergence for: Σ (- 1)"2" n=1 Vn+4

A: use the formula for radius of convergence for the  

Q: Setup an integral to find the surface area obtained by rotating the curve y = e" about the line y = ...

A:  Given: y=ex   about the line y=119  with the limits 0≤x≤4.6 To obtain the new limits and the Surfac...

Q: Let f(x, y, z) = x^2 - y^2 – z. Describe the level surfaces.

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Q: Let RR be the first quadrant region bounded on the left by the yy-axis and between the graphs of f(x...

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