sin 3t dt J cos 3t – 1

Q: First make a substitution and then use integration by parts to evaluate the integral 9x³e*´ dx Note:...

A: A detailed solution is given below 

Q: Question 1 For each improper integral below, show that it diverges or find its value. (a) | Va In z ...

A: in multiple question we are allowed to answer only first three sub parts of question.

Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11 met...

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Express the composition W (x) in the form f • g • h. W (x) = - 7 х — 7

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Q: (c) E1(-1)"sin() Σ n=1

A: We will use lebnitez's test to find wether the given series is convergent or divergent. The test sta...

Q: dz Use the Chain Rule to find dt for z = x2 + y2 + xy,x = sin t , y = e'.

A: z=x2+y2+xy ; x=sint , y=et

Q: The integral -8 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution u cos...

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Q: 4. An analyst has found that Granny's Surf Board Company monthly profit function is: P(x)=-0.05x2 +5...

A: Solution: P(x)=-0.05x2+50x-2000

Q: On the graph of f(x) = cot x and the interval [27, 47), for what value of x does the graph cross the...

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Q: 1. Consider the function fx3x+2, -x-6, x>0x<0. Use table of values to find the limit of the followin...

A: The given function,  f(x)=x+2,x&gt;0-x-6,x&lt;0

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: Solve the following equation to determine if f (x) is continuous given the function: f (x) = 6x+7  ...

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Q: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and lengt...

A: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and lengt...

Q: Use the trapezoidal rule with n = 5 to approximate %3D 5 cos(x) -d.x 1 Keep at least 2 decimal place...

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Q: Find the set of solutions for the linear system X1 + 3x2 3x3 -10 X2 4x3 -3 4x3 -8 - Use s1, s2, etc....

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Q: 23. Find the point c that satisfies the mean value theorem for integrals on the interval [1,4] for f...

A: The given function is: f(X)=2x2-7x, [1,4]

Q: Given Cost and Price (demand) functions C(q) = 100q + 45000 and p(q) = - 2.8q + 950, what profit can...

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Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

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Q: dy dr of the function given implicitly: Find 3ry + 6e" = 6e. Evaluate the second derivative at the p...

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Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

Q: Identify all singular points and points of discontinuity of the given function. HINT [See Example 3....

A: Since function is not differentiable at x=5  So, singular point is x=5  But function is continuous e...

Q: 16 — е2 d.x e- dr 212 + 4х —7

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

Q: The point P (2,3) lies on the ellipse 8a² + 2y² = c. Determine the value of c and write the point-sl...

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Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: Question 5: a. Convert 50/1 yarn count to denier count b. Convert 60/1 yarn count to dtex count

A: 5) a) 50.050  

Q: Evaluate the integral. | sec (3x +2) dx sec (3x + 2) dx =

A: Let 3x+2 = t

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...

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Q: 6 state if a power function. If so, write it in the form f(x) = kx". If not, type N for k and p For ...

A: To solve the following problem

Q: Given the function f(x) = 2x + 16x° + 36x, determine all intervals on which f is both increasing and...

A: f(x) is both increasing and concave up in interval from 0 to infinity...as I have done solution in d...

Q: Find the total area of the shaded regions. The area is (Simplify your answer.) Ay 6- +2,4) 4 (2,4) j...

A: Here,, the region is bounded by the curve y=x4-3x2 &amp; y=x2 Now, the area bounded in the first-fou...

Q: If you already know lan and |v], then the formula an = K|v gives a convenient way to find the curvat...

A: Please follow step 2 . 

Q: Find the derivative of the function. h(t) = + 9. h'(t) = Need Help? Read It Master it

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Q: 27 Use the price-demand equation below to determine whether demand is elastic, is inelastic, or has ...

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Q: Question 2: Compute the derivative of y = arcsin(cos(arctan(r))).

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Q: 10 10 Evaluate 5x dx using the trapezoidal rule and Simpson's rule. Determine The value of 5x dx is ...

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Q: For the function: f(x) = 4x – 1, find f(z) – f(a) a. Preview f(z +h) - f(x) b. Preview %3D

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Q: Use the difference an+1 – an to show that the sequence {n – 4"to0 is strictly increasing or strictly...

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Q: Simplify the following trigonometric expression. cosx(secx- cosx)

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. b, = e9-n² (Give...

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: 36. Adams's Magic Hexagon. In 1957, Clifford W. Adams discovered a magic hexagon in which the sum of...

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly aks ...

Q: Find the derivative of the function. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: we should find the height of the rectangle such that the window will admit the most light.

Q: 5q sin q p = 4 q* - 3 dp = dq

A: it is very basic problem of diffrentiation.

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by...

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Q: f(t)=t^2+7t+2 Find the equation of the line tangent to the graph of f(t) at t=5. y =

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Q: Express the vector in the form v = vji + v2j + v3k. AB if A is the point (-9, -5, 5) and B is the po...

A: A-9,-5,5 and B-4,-12,8

Q: 2t es the given condition; r' (t) =i+ te-t"j - =k;r(0) = i %3D t2+1 Vt2+4

A:

Q: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

A: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...