UsinG PYTHAGORE AN IDENTITY, SOLVE FOR [sin Gx) - cos (Vx)] - 3x5 COS

Q: The limit below represents the derivative of some function f(x) at some number a. 3(3 + h) - 243 lim…

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Q: Find the centroid of the region bounded by the parabola y= 8x and the line y=2x. O (0.8,2) O (1,4) O…

A: We need to find centroid of the region.

Q: Which of the following yields the value 3580? O none of the choices (18x+7y)dxdy (18x+7y)dydx…

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Q: Determine the general equation of the plane Ω passing through the point P(−5,−4,1) and parallel to…

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Q: DO NOT include spaces in between characters. * Using implicit differentiation, find the slope of the…

A: We can solve this as follows:

Q: sin x Let g(x) = 1 ot. Find the derivative d'(x). '2 1+t3 none of the choices cos X 1+ sin3x sin? x…

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Q: Q2) Solve the D.E dy – (2x/1- y²)dx = 0

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Q: Find the value of Oa 43 Ob.53 Oc 23 Od 13

A: Given: I=∫0∞e-3tdt   As we know that; ∫eax+bdx=1aeax+b+C

Q: 2x 4. Given the function F (x)= 3 do the following: 4.x +1 a. Find F-1 (x). b. Find dom F and dom…

A: Given,            The function is Fx=2x-34x+1.

Q: Given that x=t3+t and y=3/2t4+t2, find dy/dx, d2y/dx2, d3y/dx3

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Q: sec'x tan?x dx, can be evaluated by using trigonometric transformation. A) True B) False

A: Let's find.

Q: Question For the function given below, which statements concerning Rolle's theorem are true? —3х - 1…

A: This question is related to Rolle's theorem, we will solve it using given information.

Q: e-2 1 Evaluate: e-3 xInx Oc -In 6 O d. In 6 2/3

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Q: Let 1. f(x) x+1 Use the limit definition of the derivative to find (i) f'(-4) = (ii) f'(- 2) = (i)…

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Q: For what values of x do the tangents to the curves y = (1 +x')² and y = 2r6 have the same slope? X =…

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Q: Q1) Evaluate the following integral using Partial Fractions Method: x3 + x? dx х2 + х — 2 y I|

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Q: 36. (х, у) —- (0, 0) lim (x + y²) In(x² + y²)

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Q: Consider the series 5 + 9 + 13 + How many terms does it take for the sum to be 860? O 21 O 20 O 19 O…

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Q: Find the volume of the solid formed by revolving the region enclosed by the closed curve 4x² + 9y² =…

A: As per given  We have to determine volume of solid

Q: Q5/ Use Linear Regression to fit the following data: 1 4 5 6. Y 4 9 10 10 9 8 3

A: From given data

Q: Evaluate s 2°ds Oa 2 (sln2-1) (In2)2 2" In2 Oc sin2-1) (In2)2

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Q: Given the triangle 30 find the length of side x using the Law of Sines. Round your /36° 17° final…

A: Given,            The triangle is shown below :

Q: Which series converge in the interval described by |x| < 1? 1. 1+x+x^2+... 2. x+x^3 + x^5+... a.…

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Q: | cos ?x sin'x dx can be evaluated by factoring sin'x as (sin²x) ²sinx and transf sin²x into 1-…

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Q: is satisfied. Finally, to determine if Rolle's Theorem can be applied, we also need to check if the…

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Q: csc 2 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. ( A) True…

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Q: Find the speed at the given value of t: r(t) = (e4, -9,4t-1),t = 4

A: We know that V(t)=r'(t)Here r(t)=&lt;et-4,-9,4t-1&gt;Differentiate…

Q: inside polar functionr = 2 and outside p in third auartor

A: We have to find the area according to the given information

Q: Egay wants to fence a rectangular grazing area along a straight river (no fence is needed along the…

A: Given problem:- Egay wants to fence a rectangular grazing area along a straight river (no fence is…

Q: Give the VALUE only. No need to include the unit. * Let s, =15r +10r +20 and s3 = 5t + 40f , t 2 0,…

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Q: Q3) Find the Area bounded by the curves y? = x and x = 2y – y?.

A: The given curves are; y2=x &amp; x=2y-y2   Now find the point of intersection between the curve y2=x…

Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

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Q: Find the surface area of the cone z = x² + y2 that lies between the plane y = x and the cylinder y =…

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Q: 6.Find all the first partial derivatives of each function x² – y² c. f(x,y) ху с. = d. f(x,y)=e* cos…

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Q: Consider Evaluate ( 3x² + 6x ) e *+2) (6x2+ 3x) e +y2) (6x+9x)e+y2) O (9x4+6x) e *+y2)

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Q: Is Rolle's theorem valid for the function f(x) = Vi-x on the segment [-1,1]? a. No since the…

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Q: Find all values of x that satisfy the equation f'(x)= g'(x) it f(x)= sin x and g(x)= cos x. 3T +k T,…

A: We can solve this as follows:

Q: 1 dt. o t4 +5 Let f(x) = Find the derivative f'(x). e2x none of the choices et

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Q: Show that the set of all points P that are twice as far from (-1,5,3) as from (6,2, –2) is a sphere.…

A: The set of all points P that are  twice as far from -1, 5, 3 as from 6, 2, -2. Let coordinate of a…

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: To evaluate sin 0 do , factor sin*0 as (sin²0) ² sin® and let sin²0 = -(1- cos20). A True В False

A: To evaluate: ∫sin5θdθ Let I = ∫sin5θdθ ⇒I = ∫sin4θsinθdθ

Q: Find the derivative of f(x)= (Inx Oa 6x(Inx Ob. 4 inx Oc 12(in a Od 24(inx

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Q: |x= 8| f (x) = Evaluate the left-hand limit of as X8. 16- 2x O 1/2

A: Given,            fx=x-816-2x as x→8To find : Evaluate the left-hand limit of the given function.

Q: Since f'(c) f(1) – (0) f(1) – f(0) = 1, f(c) = 1. We therefore equate f'(x) to 1 and solve for x.…

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Q: Q2) Solve the D.E x²dy + (3xy- 1)dx 0

A: Here we have to solve the given differential equation x2dy+3xy-1dy=0 ............................…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 9…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: %3D /Q5) Find volume of body bounded by z2 +y2 + x2 = 4.

A: To find the volume of the body bounded by z2+y2+x2=4.

Q: 22 – 9x? = 1 4.

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Q: Problem 2: Use the First Fundamental Theorem of Calculus to answer the ff. If F(x) = tvt +1 dt,…

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