Q7: Í sin(3z)cos(4z) dz = a)cos z- cos(72) + C b) -tcus x -os(Ix) + C %3D Qe S sin'x cas d = 2).

Q: Problem #1: Differentiatef (x ) = [(4 x4 - 5 )(3 x2-9 x -5 ) ]3 and solve f (2). Solution: Reason:

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Q: 2. Suppose the symmetric equations of lines l1 and l2 are 2 - y = z and x = -1. respectively. (a)…

A: given (x-1)2=(2-y)=z.......L1let  x-12=y-2-1=z=t   x=2t+1y=-t+2z=t a1,b1,c1=(2,-1,1)…

Q: Consider the following integral. dx Given the substitution u = x° - 4, find du. du dx Rewrite the…

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Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² y =…

A: We have to differentiate following functions using chain rule: y= x(x2+3) 2 y= (4x-10) 4 y=…

Q: Question 3 (. whether it is convergent or divergent (show all ) Test the following series your…

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Q: In Exercises, the given vectors form a basis for a subspace W of R or R'. Apply the Gram-Schmidt…

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Q: Use Ring Method Rotate the region bounded by x = (y – 3)2 and x = 16 about the x = -5.

A: Let's find.

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: We will differntiate, and find the values.

Q: On what instance does the Chain Rule of differentiation applicable? Explain briefly

A: To explain when we should use chain rule.

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: Relative error

Q: Please

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Q: Solve the following initial value problem. f′′(x)=−36x^2−18x−4,f′(−1)=13,f(−1)=−35

A: To solve the initial value problem.

Q: 1 dx (x + 1)2 -2

A: We have to determine whether  ∫-2o{1/(x+1)2 }dx  is convergent or divergent.  Let I =  ∫-2o{1/(x+1)2…

Q: 1 f(z) = 1+ 6z

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Q: Evaluate: L-1 1 S2s-9) 2+2. th CamScanner

A: Let's find.

Q: Find the sum of the series. 5h Σ 9"n! n = 0 8.

A: The given series is 5n/[9n n! ] , n from 0 to infinity.

Q: Convert the following decimals to fractions and vice versa. Do not simplify. 1. .9 = 2. .55= 3.…

A:

Q: 7. Simplify and evaluate. (2x³y²)³ a) (x’y (9y)? b) for y=-2 (3y*)

A: Given: a)2x-3y23x3y-42b)9y23y-13

Q: Suppose that h = 2x'y, where both x and y are changing with time. At a certain instant when x = 1…

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Q: Find the Taylor series generated by f at x= a. f(x) = -, 1 a = 3 X (x- 3)" Ο Α Σ 3" OA. n =0 (x –…

A: We have to find the Taylor's series for given function at a=3 . For this all order derivatives of f…

Q: Evaluate the following antiderivative: | coth(x)(7n(sinh? x ) + tanh? x) dx

A:

Q: Let f(x, y, z) = xy + z°, x = r + s – 61, y = 3rt, z = s'. Use the Chain Rule to calculate the…

A: Given;  f(x,y,z)=xy+z3, x=r+s-6t, y=3rt, z=s5.

Q: 1. Find the centroid of the semicircular area inside x? + y² = a²_with y> 0 Answer:

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: d.x | – 2x² + 1 b.

A: To evaluate: I=∫x5x4-2x2+13dx

Q: he path r(t) = (4 sin t) i+ (4 cos t) j describes motion on the circle x +y = 16. Find the…

A: Topic:- application of derivatives

Q: cos(3x) dx

A: answer is in next step

Q: In what way did theorems/techniques of antidifferentiation help you find the integral of an…

A: Given

Q: (b) 2+ 5y = 2, y(0) = 0 dt

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Find the area of the region described. - 3 The region in the first quadrant bounded by y =x and y= 3…

A:

Q: 1 an 1 Use the transformation u = 2x+ y, v=x+ 3y to evaluate the given integral for the region R…

A: Given

Q: Question 4 Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

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Q: Write the sum using sigma notation: -3+5 + - 7+...+- 17 Σ i = 1

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Q: The volume of water in a right circular cone of base radius 6 inches and height 18 inches decreases…

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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Q: 2л + 3 dx 4г2 — 4х + 5

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Q: Marty bought 5 pounds of apples for 98 cents a pound. What was the average price per pound that…

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Q: Find a parametrization of the line in which the planes x+ y +z = - 3 and y +z = 4 intersect. Find…

A: Solution: x+y+z = -3 ..............(1) y+z =4 .............(2)

Q: Evaluate 7(t) dt: 4 4t -k; a = 0 and b = 4 t2 +1 †(t) -î + 2e4t cos t ĵ- t2 + 5t +6

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Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = on the interval…

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Q: A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a…

A: Let's find.

Q: Find the equation for the plane through the points Po(0,2, – 5), Qo( - 4,1, – 4), and Ro(5,4, – 3).…

A: plane passing through the points P00,2,-5, Q0-4,1,-4 and R0=5,4,-3

Q: An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. If the oil was…

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Q: Show clear and detailed solutions: Suppose that z is a function of x and y, and tan Vy? + x² = z*e®y…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Graph each parabola. Identify the vertex, focus, directrix, endpoints of the latus rectum, and the…

A: The given equation is: y2-12y-16x-28=0⇒y2-12y+36=16x+28+36⇒(y-6)2=16x+64⇒4(4)(x+4)=(y-6)2 which is…

Q: sin x ferentiate y = (x² + 1)°

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Q: Let C(x)= x2+4x+1 dollars be the cost function, where the x represents the quantity. The estimate…

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Q: If the series E, (an)? diverges then lim,00 an + 0 Select one: True False

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Q: times the radius. Water is poured into a cylindrical tank whose height is when the radius is 3m ? I…

A: The solution of question no 1 is given in the next step.

Q: S: Solve: do Sinho t cosho

A: