1. For the integral x³ + 8 dx a. Use the Simpson's Rule with n = 4 to approximate the value of the integral. Round the result to four decimal places. The graph is the integrand function, for your reference.

Q: csc5x cot5x dx A csc5x B esc5x 3 -csc5x 3 D csc5x E) None

A: Given  ∫csc5x cot5x dx5csc5x3    

Q: Let f(x) = (7 – 2x)* f(x) has one critical value at A = For æ A, f(x) is Select an answer

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Q: What is lim ? X-0+ x

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Q: Find the extreme values of f(x, y) = x² + y² + 4x – 4y inequality x? + y² < 9. on the region describ...

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Q: A In²x B Inx C Ine" DInx2 E) None

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Q: Q5: Find the domain and range for:- (Answer two only) (1) F(x) = V5x + 10 (2) F(x) = 1 + x2 x²+1 (3)...

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Q: sec2. dx = a ln b 1+ cot x cot x sec? x %3D What is -? a klos

A: Let I=∫π6π3cotx.sec2x1+cotxdxI=∫π6π3cosxsinx.1cos2x1+cosxsinxdxI=∫π6π31sinx.1cosxsinx+cosxsinxdxI=∫π...

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Q: Find the arc length of the curve x = –3y3/2 from y = 0 to y = 10. Length =

A: To find the arc-length if the curve x=-3y32 from y=0 to y=10 Now, the formula for the arc-length is:...

Q: Below is the function f(x). -6 -5 -4 -3 -2 -6- Over which interval of æ values is f' > 0? O (1, 0) O...

A: The graph of the function is 

Q: kdt, where k is constant A True B False

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Q: :-'In²(Ine*)dx A In?x В Inx C Ine* D) Inx2 E None

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Q: dy - y = xy2 dx

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Q: Ô https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28942409 Find the volume V of ...

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Q: 2. Find the general solution of each of the following first order partial differential equations (a)...

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Q: Find the shortest distance from the point (2,0, –3) to the plane x + y + z = 1.

A: This is a problem related to geometry part. Based on the concept of plane and point we will find the...

Q: Find the average value of the following function: p(x)  =  4x2 + 5x + 6 on the interval  1  ≤  x  ...

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Q: The function f(x) = 2a – 392? + 240x – 4 has two critical numbers. The smaller one is x = and the la...

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Q: ,3lnx +2x4 "dx A) 3lnx 2x4 x3 D 3lnx+ 2x4 E None

A: Using substitution method.

Q: Explain if the function is continuous or not for the given number a. if x>1 if x = 1 ,a=1 if x<1 f(x...

A: we have given function     we need to determine the continuity at a=1    

Q: Evaluate: 3 +4dy

A: ∫ 3y3y+4dy  

Q: If F(x) = |"f(t)dt then by the -5 Fundamental Theorem of Calculus, we have F'(x) = f(x) Select one: ...

A: Given that Fx=∫-5xftdtTo prove :F'x=fxSolution if Fx=∫hxgxftdtF'x=g'xfgx-h'xfhxFx=∫-5xftdtF'x=1.fx-0...

Q: 2x+3 (1) Find the domain of the function H(x)= x' -4x

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Q: Given the General Solution y = ke-0.08x2 Find the value of "k" given the condition (-3, 580). A) k =...

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Q: 1 lim x5+(2x-3)³ 3x8

A: Given limit is not on any indeterminate form. So, put x tends to infinity directly.

Q: Calculate the divergence of the vector field F (x, y, z) = –10 sin(2xy)i – cos(x'y)j. (Give an exact...

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Q: Question 4 (sin(3t))^2(cos31)) dt

A: To evaluate the integral ∫sin23tcos3tdt Formula used: Power rule of differentiation ∫xndx=xn+1n+1+c ...

Q: Determine the limit of the following: 1.1) lim x -->3 (sqrt 3x / x sqrt x + 1) 1.2) lim --> pi / 3...

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Q: -7. -5-4 -3-2 -1 \I 2 3 4 5 -2 -4- o ト oゆ!

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Q: Compute T2(x) at x = 1 for y = eª and use a calculator to compute the error |e – T2(x)| at x = -1.5....

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Q: Calculate the integral

A: Required formulae: ∫exdx=ex+c , c = integration constant∫abexdx=[ex]ab=eb-ea

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 4, f'(0) = –15, f"(0) = 8, ...

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Q: Differentiate the functions. a) f(x) = 1 – 6x +x7 b) f(x) = (x³ + 3)² %3D

A: a)f(x)=1-6x+27x7Differentiate with respect to x   f'(x)=-6+(27×7x6)  f'(x)=-6+2x6Derivative of f(x)=...

Q: Rewrite the following expression in terms ofu with u > 0. Tha the expression in terms of u without a...

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Q: dx Perform a test to determine if converges or diverges. 8 X° +4 dx Does converge or diverge? 8 Vx° ...

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Q: Find the angle 6 between the vectors. u- (1, 1, 1), v- (5, -4, 3), radians

A: Angle between the two vectors can be found by applying dot product of two vectors.

Q: QA Find 1 dx x2Vx? - a? Hint: Use x = a cosh(u).

A: Integral

Q: Suppose Bilbo Baggins is deciding on whether to buy a sword or a bag of golden cups. If he has a uti...

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Q: Which of the following represents the radius of the sphere whose equation is x² + 8x +y2 – 16y +z² –...

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Q: For a continuous function f(x) on the set 2 [- 5,2], the net area Tx)dx must be -5 always positive S...

A: The given question has been solved in detail

Q: a*dy= +C Ina A True (B) False

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Q: Expand $it) in Fourier series in the interva) (- 2, 2) when fit) = -2st <o %3D 1.

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Q: 1 4lnr Evaluate: | (A +C - 2(r5 – 3) +C 2(,5 – 3) 2 +C 15 4lnr 4

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Q: Changing the catesian to polar coordinate.

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Q: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

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Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y? + z...

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Q: e(2e" – 1)dx 6x 3x A 2e - 1 B 2e 6i – e 3u © (e"-2)+ (e" + 1)4 E F None

A: This is a problem of integration. First here we will assume e^3x = t and then we will use general fo...

Q: An airplane is flying on a horizontal path at a height of 3500 ft, as shown in the figure below. At ...

A: The solution of the problem is given in the next steps.

Q: 12x2-5x+7 lim x++00 V9x²–7x+13

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...