Prove the following identities : a) Csc0+tan 0.Sec0=Csc0.Sec ²0

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim X→2…

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Q: 2) Use Rolle's Theorem on f(x) = 2x3 - 6x² - 2x + 6 to find all numbers c in the interval (1, 3) for…

A: Here is the solution:

Q: Find the derivative of 10 5x - 4. 1 5 9 X (10) 5x-4 Click here to enter answer Back Delete Clear…

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Q: Verify the identity. (Simplify at each step.) 8 sin² x − 8 sinª x = 8 sin² x (1 – - 1 (8- - = 8…

A: Topic = Trigonometry As per guidelines , At a time only one question can be answered. Please repost…

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Q: C064Exp3 Weight:1 The base of a solid is the region bounded by y = √x, y = 0, and x = 4. If every…

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Q: If A = 2x²,-3yz, xz² and qp = 2z - x³y. Evaluate A Vop and A x Vp at the point (1, -1, 1).

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Q: 3. Find the inverse of the matrix. SHOW ALL WORK. [120 -1

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Q: DSX 2 X sec /x dx 3

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Q: Solve the following problems. Enclose final answe 8x+4 (x-2)² 2 2. The Minimum point of y =

A: Topic:- application of derivatives

Q: A street light hangs 24 ft above the sidewalk. If a man 6 ft tall walks away from the light at the…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x+0+ 5

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Q: Find Laplace -3+ 2 [t². 2³+. Sincat) e -

A: See the details solution in below

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 4 4. Lim - x 0 Arctanx.

A: Given :limx→01x-1arctanx

Q: 1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

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Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

A: Given a tank contains 50kg of salt and 2000ltrs of watera solution of the concetration 0.0125kg of…

Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

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Q: General solution of = dx tan²(x + y)

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Q: A thermometer reading is 60oF at 3:00AM and a Civil Engineering student takes it outside where the…

A: Given: At 3:00 AM, thermometer reading = 60°F The outside air temperature = 20°F At 3:10 AM,…

Q: Assume that y is a differentiable function of x such that y^2 = x^2 + 4xsecy. Find

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Q: 2. Two vectors, and b are placed tail to tail and have magnitudes of 2 and 5 respectively. There is…

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Q: 2e^xdx-3e^ydy=0   Find y(x) and f(x,y)

A: Follow the procedure given below.

Q: (c) (d) sin 3x lim z0 tan 3r lim (In(sin 2x) - In(tanz)) +0+z

A: Here we have to solve the given limits.

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2. Lim xcosx sin²x 2 x-o

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Q: 7) y = — - cos (40-32) 2 D

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

Q: x = 3. Find the value of k, if ][ƒ(x)-kx]dx=7. Given f(x)dx=-Sand f(x) dx = 3 Using the properties…

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Q: What is the average rate of change of y with respect to over the interval [-1, 2] for the function y…

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Q: ƒ(z) = (z³ + z − 4); [−1,2] x h(x) ; [0,2] x-3'

A: Mean Value Theorem:  f'(c) = (f(b)-f(a))/(b-a)

Q: 6. lim x->0 (1+x)¹/5 (1+x)¹/3 - (1-x)¹/5 - (1-x)¹/3 (Ans:/)

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Q: Expand the quotient by partial fractions. x+7 (x+6)² X+7 (x+6)² (Simplify your answer. Use integers…

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Q: 6. Find 0²y of z = In(xy)

A: We can find the partial derivative as below.

Q: y = x² - 6x² + 8x and y = x² - 4x. 2. Find the area bounded by the two curves y:

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Q: Prove the series diverges through Alternaeting Test. +∞ Σ (−1)α α1/2 α=1

A: Alternating series test

Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos (0.002) ? O 1 O 1.001 O…

A: This can be answered using calculator since the exponential and cosine value can't be find…

Q: Let f(x) = x² - 6x. (A) Find the slope of the secant line joining (1, f(1)) and (9, ƒ(9)). Slope of…

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Q: Л ST 6 77 6 EN F/3 2 3 -0 i 11 6 4) V3 2² 2 27 3 F|N 11 6

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Q: [ * ² {( x=-62² ) + x ² (2 X-67 ° S - XP(x - 5] [9_xP ( _ex-b^) -b). E [+5₁ dx=6₂ 3 My = 3dx = 1/2/2

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Q: Solve the following problems. Enclose final answer. II. 7.Find of z = 2x35xy? ㅋ

A: Let's find partial derivative of given function.  Small mistake given in question there were dxdy…

Q: Given [ƒ(x) a f(x) dx = -5, and g(x)={3x+2,355 / 3x+2,3≤x≤5 integral. Find the value of k that…

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Q: (√²+2) dt

A: We have to integrate to given function

Q: Calculate the points of intersection of the curves x² = 4y and bre yavas r3 099wied biloa 9d1 to 9…

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Q: 1. For the cross product between vectors a=[h, -1, 8] and b=[k, 5, 7] to be axb= [-47, -5, 17], what…

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Q: Find the length of the arc of the curve y = (1 + x²) fron the point where x = 0 to the point where x…

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Q: MY NOTES ASK YOUR TEACHER The rate of change of the function f(x) = sin(x) + csc(x) is given by the…

A: Verify the identity

Q: Solve the following problems. Enclose final answer. 4 4. Given z = x-y, Find az/ax x+y

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: The…

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Q: Lim √2+x² X

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Q: 12. Find the standard form of the equation of the hyperbola with the given characteristics.…

A: Given problem:- Find the standard form of the equation of the hyperbola with the given…

Q: A lumbering battle tank's treads applied wildly varying forces in order to propel it to move…

A: We know that,  Work = force * displacement    W = F * x  = 10x(1-e-0.03x2+0.2cosx)

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 3. Lim In(x+1)3 X48 6x 3

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