find lim 8-10%2

Q: The center and radius of 4x2 +24x + 36 + 4y?-8y 100 is O Center: (3,-1); radius = 26 %3D O Center: (...

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Q: Integrate f 72x+3 527+3 а. +C In49 O b. In42 727+3 72a+3 +C О с. + C log49 72z+3 O d. In49 + C a.

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Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = T...

A: Given that y=x2, x=0, y=2-xaround the line x=1find the volume 

Q: 12. An arrow shot straight up from ground level with an initial velocity of 128 feet per second will...

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Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

Q: Use the function f(1) = a² – 4 to fill in the table: 2 f(z) 3 2.5 4.5 2.1 4.1 2.01 4.01 Based on ONL...

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Q: A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoi...

A: Draw a free body diagram.

Q: cot *dx e2x +1

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Q: a set of n values x1, x2.. X n has (3 standard deviation 6, the standard deviation :of n values x1 +...

A: This question is related to statistics.

Q: 82z 82z 8. If z = x + y Inxy, show that x- 8x? δχδν

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Q: What word or phrase best fits in the blank below? "If lim f(x) = L, then when x is near a the corres...

A: For limit to exist, Left hand limit (LHL) and right hand limit (RHL) both should exist and equal to ...

Q: Find the volume of a solid obtained by rotating the region under the graph of the function f(x) = :3...

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Q: (y* – 2xy)dx + 3x²dy = 0 a.

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Q: Whic of the following is NOT a solution of 2 sin? t – cost - 1 = 0 if 0 <t < 2n ?

A: Follow the procedure given below.

Q: Radium decomposes at a rate proportional to the amount present. If the half-life is 1600 years, find...

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is ...

Q: The bond angles in the central atom of CO32- are expected to be

A: This question is related to chemistry hybridisation.

Q: Find the inverse laplace transform of H(s)= 8/(3(s^2) + 12) + 7/s^5

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Q: Obtain the solution to the differential equation: (3x²y² + 2y³)dx + (2x³y + 6xy²)dy = 0 x³y² + 2xy³ ...

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Q: 6. Statement 1: The number of students who are present in Filemon T. Lizan SHS for the first day of ...

A: discreate variable means countable variable and continuous veriable means uncountable variables. 

Q: 2. Find the equation of the tangent line to the parabola y = x² – 8x+9 at the point (3, –6)

A: Given y=x2-8x+9 Formula: dydx(xn)=nxn-1 dydx(k)=0, where k is a constant Consider y=x2-8x+9 Differen...

Q: Calculate the area of one petal of r = sin 40

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Q: Given a function f(x)=x² -3x² – 9x +2. Find the x-intercepts and y-intercept of f(x). Find the inter...

A: Given: fx=x3-3x2-9x+2 (a). As we know that, To calculate x-intercept, we need to solve for x after s...

Q: Find a set B that is well-defined such that 10 ɛ B and 5 ɛ B. B = {x|x ɛl and x < 11}, I the set of ...

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Q: tan-0) = T then tan 0 is equal to O 2 O 4 3 O 1 4

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Q: (x – 1)2 (y + 1)2 1? Which of the following lines is an asymptote of the hyperbola 9. O 3x + 2y - 1 ...

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Q: 0.3 0.6 0.9 1.2 1.5 h(q) 19 30 46 73 114

A: To find the h'(0.90), means calculate slope between [0.6,0.9] h'(0.90) = h(0.9)- h(0.6)0.9-0.6=46-30...

Q: Use integration by parts to evaluate the integral: $ds %3D

A: According to integration by parts:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: We can find the rate of change of base wrt time as below

Q: coshi +eoshm' ") sinhmdm

A: For the solution follow the next step.

Q: 4. Let g(x, y) = e"/v, Find an equation for the tangent plane at (x, y) = (2, 1).

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Q: Find the slope of the curve at the indicated point. 3 25) y=8+ X -x=7 A) m = B) m =- 75 C) m = D) m ...

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Q: Write a full soultion Let consider the following function: f (x) = 2(x + 1)^2 −8. a) Find the doma...

A: We have to find domain and range 

Q: a? + 6x + 9 1. For the function g (a) answer each of the following questions. %3D x² + 3x (a) Evalua...

A: We need to find values of function at x values.

Q: If f(x) – 5 + 3x 5a, find f'(3).

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Q: Note: to enter 0, type the word theta. (B) Which integral do you obtain after substituting for x and...

A: The given integral is: I=∫13-9x2 dx

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Q: .3 f(x)dx = 5, f(x)dx = 2, and f(x)cx= - 1, find f (x) dx If A) 2 в) -з c) 3

A: Topic = Integration    

Q: 10. Let f(x, y) = x² + y³. Calculate the directional derivative of f in the direction of = (4, 3) at...

A: The given function is: f(x,y)=x2+y3Direction vector is:  v→=4, 3Given point:  P=(1, 2)

Q: ft along a straight, level road decelerates at a constant rate of 2 A bus travelling at 66 - ft F 22...

A: Given that: Speed of bus, u=66 ft/secDeceleration, a=-22 ft/sec2

Q: COs n Find the limit lim n 00 2" If it diverges, enter DNE.

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Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 28 – 7x² a...

A: Topic = Volume

Q: x² +1 dx (3x+1) 2. Evaluate

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Q: 2х-1 c) Consider a function f(x)= Find х - 2 the vertical and horizontal asymptotes, i) ii) the inte...

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Q: . Find the area bounded by the curve f(x) = (2+x)(x – 5), the lines = -2, line = 0 and the x - axis.

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Q: Find the standard form of the equation of the hyperbola with the given characteristicS Foci: (0, ±9)...

A: The hyperbola has,  Foci: 0,±9; asymptotes: y=±3x

Q: f(x) = x2 + 4x – 5, x < -2 -

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Q: y' = *+y2 ху

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Q: 7/2 cos²0 do

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Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

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