b) sin 3x

Q: Find dy/dx of * ye2x + xe2y = 0. %3D

A: This is a derivative problem

Q: Evaluate the following integral: cos 2x -dx (1+sin 2x)²

A: We have to evaluate the given integral  

Q: 2. (a) Let f(r, y) = sin(ry) and u = (,-). Compute Duf(z, y). %3D %3D (b) Let F = (r+y)i + (y – x)j ...

A:

Q: (D³ – 4D² + 7D)y = -11

A: From the given differential equation; D3-4D2+7Dy=-11 So, we can also write as; D3-4D2+7Dy=-11e0x The...

Q: 1 If y = ex , then y equals (A none of the given choices – 2y B) x3 2y x3 - 2x y3 2x E) y3

A: To find y'   

Q: The radius of a sphere is measured and found to be 3 ft. with a maximum error of 0.1 in. Find the ap...

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

Q: Vx-2 +2 x² – 9 What is the domain of the function f(x) = A none of the given choices B All real numb...

A:

Q: Approximate using the Trapezoidal rule with n = 4 subinte Round to 4 decimal places. sin r dr

A: See the details solution in below

Q: Determine the solution which satisfies the two equations x -y=11 and 2x+y = 19. A x = - 3, y= - 14 n...

A: We have to find value of x and y.

Q: Evaluate f'(x) at x =2 given f(x) = (x2– 3)* A 2 4 3 D none of the given choices E 1 (B)

A: Given f(x)=14(x2-3)4

Q: ifferentiate f(x)= sin(sin(cosx)). A cos(cos(sinx) B -cos(sin(cosx))cos(cosx)sinx C cos(sin(cosx))co...

A:

Q: The doubling period of a bacterial population is 10 minutes. At time t = 100 minutes, the bacterial ...

A:

Q: 1- t2 is The differential of u=In, 1+t2 -2t |dt t4 – 1 A du = 2t |dt t4 – 1 B) du = none of the give...

A:

Q: Let F(x, y, z) = (y 3 cos(x), 3y 2 sin(x) + z y , In(y) + 1 1+z 2 ) and let C be the curve given by ...

A:

Q: For what value of x is the tangent line to the curve y= x2 – 6x + 5 horizontal? (A) (B) -6 -3 D none...

A: We have to find the value of x

Q: Write an expression that gives the requested sum. The sum of the first 38 terms of the geometric seq...

A: We know that a geometric sequence is a sequence with the ratio of consecutive terms constant. This c...

Q: Find the equation of the tangent line to the parametric curve at (1,3). 2=1+ Int y =t² +2

A:

Q: Evaluate; lim x+ -3- [[x]] +1 | A none of the given choices B -1 -2/3

A:

Q: Differentiate f(x) = sin(sin(cosx).

A: Given query is to find the derivative of the expression.

Q: dy If x=5+ cos20 and y=3- sin20 , what is dx (A none of the given choices B - csc³20 - cot20 D csc³2...

A: The solution is given below:

Q: x-2-x-4 is x-2-x-3 The differential of y= A none of the given choices B В dy= xp- dy= - -dx 1 D dy =...

A:

Q: Ax3+ Bx+2 ,x2 A A = 2, B=8 в А3D 2, В- -8 A = -2, B=– 8 D none of the given choices E A = - 2, B=8

A: Derivative problem

Q: Question 22 An engineer is looking to find the fluid force exerted on this plate submerged in water....

A: The solution is given below:

Q: Question 18 Using the definition, find the Taylor series. Represent the final answer as a summation....

A:

Q: dy If x=5+ cos20 and y=3- sin20 , what is -? dx (A) cot20 (B - csc320 © none of the given choices D ...

A:

Q: Find fix) if f =x-cosX, f'o)=2 &f(0)<-2

A:

Q: Find the longer dimension of the rectangle enclosed in a semicircle y=144- x² with the largest possi...

A: We are asked to find the longer dimension of the rectangle 

Q: What is the equation of the normal line to the curve x2 +y? - 6x- 2y=D0 at (2,4)?

A:

Q: 1 What value of x will make sinx= :? (A) 4 (B 6 (c) none of the given choices D 3 (E

A:

Q: What is dy/dx of the function y=tanh(sec x)?

A: To find the differentiation of the given function.  y = tanh(Sec(x)). 

Q: Question 37 Which of the following define the function (f –h+ g)(x) given f(x) = x3 – 2x, g(x)= x² +...

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Q: Determine whether the series converges or diverges. The logical flow must be clear and the test/test...

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Q: If a ball is thrown into the air with a velocity of 58 ft/sec , its height (in feet) af ter t second...

A:

Q: Which of the following statement is always true? (A) For all x< y, sinx<cosy B All of the above choi...

A: we have to find

Q: ィ-4 , x<5

A:

Q: Ax³+ Bx + 2 , x2 A none of the given choices B A= 2, B= - 8 A = - 2, B= - 8 A = - 2, B=8 (E) A= 2, B...

A: Differentiability problem

Q: (-5)°x² 7/½ (x²+4)², Simplify the expression: A none of the given choices 125x В x2 – 4 -5x4 x² +4 -...

A:

Q: ind the integral using integration by parts. Do not use a table of ntegrals. ze -dz

A:

Q: Which of the following angle is coterminal with angle measure It rad.? 4.

A:

Q: f y^x = e^1/x, then y' is equal to what

A: we have to solve the problem

Q: cose Simplify sece - 1+ sine A none of the given choices B sine – cose sine D tane

A: We have to find 

Q: If f (x) =ax³+bx? , determine a & b so that the graph of f will have a point of inflection at (1,2)....

A:

Q: Which of the following statement is always true? A For all x <y, sinx < cosy B All of the above choi...

A: Sin and cos function can take any value between -1 and 1

Q: 3. Find the length of the curve r = a (1 - cos 6) from 0 = 0° to 0 = n and also the total length of ...

A:

Q: Find the critical points and determine if the function is increasing or decreasing on the given inte...

A:

Q: If Insinx = 1+ Incosx, then x is equal to A tan-le B cot-le none of the given choices D tan-11 cot-1...

A: we have to solve the problem

Q: Which of the following is not a factor of x8 – 1? (A) х7-1 B X- 1 c) none of the given choices D x4 ...

A:

Q: Sketch the region enclosed by 2y=4 sqrt(x), y=3, and 2y+3x=7. Decide whether to integrate with resp...

A:

Q: 7. Evaluate the following Integrals: (Inverse Trig) 3 dt a) 2312 6 dx b) S. V4-25x

A: Given, The integrals a ∫-2234+3t2dt b ∫-151564-25x2dx We have to evaluate the integrals.    

Q: Evaluate f'(x) at x =2 given f(x) = (x² – 3)ª A none of the given choices D E 1 2. 3.

A: