du FORMULA Answer 10. | Vĩ csc(xVx) cot(xVx )dx cối ud

Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the poin...

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Q: A population is modeled by the differential dP equation dt 0.5P – 0.001p² The population is at equil...

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Q: 45. (a) Find the point on the x-axis closest to the point (a, b, c). (b) Find a unit vector that poi...

A: We have to solve given Questions.

Q: 1\ x² – 12 x + 6 / 2х + 8 lim

A: To evaluate: limx→-62x+8x2-12-1xx+6

Q: "l dr. IVr2 - 1 esec 2.

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Q: 1. Given the graph find y (a) f(-4) 6. (b) f(0) 4 (c) lim_f(x) X-4 (d) lim f(x) x→-4+ T ||► x 24 6 (...

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Q: a The y interet The ampute05 . The period is I a. The equation ofthe e isys . The equation of the gr...

A: Topic :- function

Q: Previous question Use transformations of f(x) = x to graph the following function. AY g(x) = 4(x-1)2...

A: The given question has been solved in detail.   

Q: ,2 + 5х + 4 f(xæ) х — 1

A: For x-intercept substitute f(x)=0⇒x2+5x+4x-1=0⇒x2+5x+4=0⇒x2+4x+x+4=0⇒x(x+4)+1(x+4)-0⇒(x+4)(x+1)=0⇒⇒x...

Q: 3. The deflection y at the center of a circular plate suspended at the edge and uniformly kwd4 loade...

A: We have to find the approximate change in y.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: 6. Se¯*tane¯*sec?e¬*dx

A: To evaluate: I=∫e-xtan(e-x) sec2(e-x) dx=∫tan(e-x) sec2(e-x) (e-x)dx...(1)

Q: Find the exact value of sin 20, cos 20, tan 20, and the quadrant in which 28 lies. sin 8= 48 0 in qu...

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Q: If F is a continuous on the set of real numbers, then STF(x)dx = T fF(x)dx A True B False

A: We can find the answer as below using the properties of integration

Q: What is an antiderivative? A it is the reverse process of differentiation. it is an integer that can...

A: Differentiation is also called derivative.

Q: dv 3. cot ( +9) 1-cos 2. COS

A: Given: ∫ecot-1v3dvv2+91-cos2ecot-1v3

Q: Use the difference an+1 – an to show that the sequence - {n – 6“}n=1 +0o - is strictly increasing or...

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Q: 8r +x2 - 8x + 10 dr. 1. x²(4x2 - 4x + 5)

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Q: 3- Determine two functions g(x) and h(x), neither of which is constant, so that f(x) =f(x) = g(x) 0...

A: The two functions, gx=x2+1x2-1 and hx=x2+1x2+2 such that fx=x2+1x2-1x2+1x2+2. The function is constr...

Q: Write the first five terms of the sequence, give the exact answer: n n + 13 n=1 Determine whether th...

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Q: What is the first derivative of f (x) = ln n A)? 3x²+7x 5х Select the correct answer below: бх-7 O f...

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

Q: 4. The two sides forming the right angle of a right-angled triangle are denoted by a and b. The hypo...

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Q: 3. (a) The surface f(x, y, z) = 1+y - 2 = 0 and g(x, y, z) = x+2-4 0 mect in an ellipse E. Find the ...

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Q: A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic ...

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Q: The masses m; are located at the points Pi. Find the center of mass of the system. 5, тз mị 7, т2 6....

A: Given that m1=7, m2=5 and m3=6Also, P1=(6,1), P2=-3,7 and P3=4,2Our Aim is to find the center of mas...

Q: Evaluate using the Reimann Integral: L, (2a? + 3) dæ O -21 O 15 None of the choices. Please refer to...

A: I have stated the used formula in the solution

Q: Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or stric...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: The given series is: ∑k=1∞164k2+48k-7=18∑k=1∞8(8k-1)(8k+7)=18∑k=1∞(8k+7)-(8k-1)(8k-1)(8k+7)=18∑k=1∞1...

Q: #24 and 26a

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Q: Arithmetic mean betwen A,B is9, And Arithmetic mean betwen 2A,4B is 61 So what is the value of a and...

A: Given query is to find the value of A and B

Q: A recipe for a berry smoothie, which sell for $3 each, uses 6 oz of berries and 2 oz of bananas. A r...

A: We need to maximize revenue.

Q: MY NOTES ASK YOUR TEACHER A trapezoidal plate with height h and bases a and 2a is submerged vertical...

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Q: x. 200 sin 3x 43. lim x0 5x - 4x

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the ...

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Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

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Q: y. -4

A: topic - indefinite integral

Q: PROBLEM 1 Pis known to have a value equal to 250 Ibs. Using rectangular components, determine (a) th...

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Q: Let y' = - ty + 0.1y and y(0) = 1.5. Use Euler's method to find approximate values of the solution o...

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Q: In v3 2e" Ve2a + 1

A: I =∫0ln32 exe2x+1 dxTrigonometric substitution;ex = tan uex dx = sec2u duu = tan-1(ex)x = 0 → u = π4...

Q: Find the derivative of the function at Po in the direction of A. f(x,y) - - 3ху + 5y, Po(1, - 5), А-...

A: We have to find the directional derivative of the function P at (1,-5).

Q: The number of wiretaps authorized each year by U.S. state courts from 1990 to 2015 can be approximat...

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Q: Find the equation of the tangent and normal line to the following curves at a given specified point....

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Q: Evaluate the given by using hyperbolic formula

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Q: sin2t costdt Identify the correct u A sin2t

A: I =∫ sin 2t cost dtI =∫ 2 sint cos t cost dtI= ∫ 2 sint cos2t dtu = cos t du = -sin t dt

Q: Suppose f is an invertible function and f^-1 is its inverse. Explain how we can use the chain rule t...

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Q: You are told that Vf(2,3) =. %3D Given ü =, compute Düf(2,3).

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Q: What is range of function f(x) = x-1 which is defined everywhere on its domain? * (-00, 00) – {0} (-...

A: Topic:- range and Domain of function  

Q: Use the difference a+1 – an to show that the given sequence {an } is strictly increasing or strictly...

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Q: dx 9(+x²)' tan 2 2 none of the choices Option 3 3x tan + C tan 2 O Option 2 Option 1 +

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Q: (1+cot 0) de sin ? e14 - cot?e

A: Our Aim is to evaluate the integral given below:-∫1+cot θdθsin2 θ4-cot2 θ -(i)