1 3x (2x + = + ₁). x+1 Find k'(x) if k(x) = 3x (2x + Provide your answer below: k'(x) =

Q: Find the area of the region enclosed by the graphs of the polar curves given by 8/4, 0 = 0 and r cos…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Use the quotient rule to evaluate h'(a) for the given function h(x) and a. 7x 9 - 2x Provide your…

A: A detailed solution is given below.

Q: Assume that the random variable X is normally distributed, with mean μ = 70 and standard deviation…

A: To find the probablity P(X>a)  then we have to convert the expression into  Z-score value of the…

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Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a…

A: Given:  horizontal distance from her front yard= 140 m            if the angle of elevation from…

Q: Solve using Inverse Operaators. y"" - y' = 4e-x + 3e2x; Particular Solution: Y=C₁+ C₂ eax + C3 ebx…

A: See the details solution in below

Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: The fourth left-endpoint in a partition of [0, 3] with Ax = 0.5 is

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Q: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…

A: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y³z² - 4 At point (1,-1,2).

A: Given function f(x,y,z)=x2y2z2-4

Q: A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: Using the Inverse Function Theorem, what is (-1) (8) given that /(x)=√6x-2? Note that (11) = 8. (Do…

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Q: Sketch the graph of f and use your sketch to find the absolute and lo f(x) = sin(x), 2 absolute…

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Q: A region bounded by f(x) = 5 — x, y = 0, and x = 1 is shown below. Find the volume of the solid…

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Q: Evaluate f(2x² + 3x + 1)5 (8x + 6) dx

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Q: Find an equation of the tangent line to the graph of y = x³ - 3x - 1 at the point (2, 1).

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Q: X f(x) g(x) -2 5 1 -1 2 3 0 4 1 -2 2 -4 -3 -6 -1 f'(x) -4 -2 1 5 -5 g'(x) -1 3 -3 4 2

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Q: *²+√** dx x2

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Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: ƒ(s) = 4s - 18 9-s² What function f(t) has Laplace transform: 5s (s - 2)² +

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Q: Complete two iterations of Newton's Method for the function using the given initial guess. (Round…

A: Given :f(x)=cosxx1=1.6

Q: 1. Find the length s of the circular arc. (Assume r = 9 and ? = 114°.) s = _____ (not 33.74,…

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Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve

Q: Use the graph of f(x) to determine the following limits. The domain of f(x) is x E R. If the limit…

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Q: 1. (a) Write the following set of equations in matrix form. 8=6X3+ 2X2 2-X₁=X3 5X₂+2X₁ = 13 (b)…

A: Here we have to write the equations in matrix form and then we have to do matrix multiplication.

Q: A bus has 8 vacant seats in the first rows. If 3 additional passengers enter the bus, in how many…

A: For the number of ways of their seating, we need to use combination.

Q: (C) For what values of x does the series 11=1 (D) Find Taylor series at x=2 for the function ala…

A: series and taylor

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

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Q: Determine the longest interval in which the given initial value problem is certain to have a unique…

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Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11) = 8. (Do…

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: Dear learner, As per our guidelines, we can provide the solution for first three parts only. Kindly…

Q: t=sin³x B) [2 sintdt cos(sin 2x)sin 2x dx- A) sintdt D) [ 2 cos tdt →? c) fcos tdt E) fcos 2tdt 4.…

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Q: if a = 7 and b=4, whats the value of f'(7)? 8|77|80 IN TA O a) Ob) Oc) =/ a) 1/2

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Q: the complex number 6√3+6i in polar form 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4)…

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Q: limg-0 2x sinx 4-4cosx

A: We can find the limit as below, using L'Hospital rule.

Q: Given the functions: f(x) = 7x g(x) = x+2/ h(x) Evaluate the function (g-h)(-4) for the given value…

A: Given :fx=7xgx=x+2hx=1x+5

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 2.…

A: According to question,Given Function,fx = -2, 1, 1, 4, 2, 5, 3, 6gx = 6+4xhx = -x2 + 2

Q: Find the general solution of the following differential equation. y" - 11y' + 18y = 0 NOTE: Use c₁…

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Q: B)Convert r = √2 cos(8-) to cartesian.

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Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given that  a spherical planet with a radius of 3 units and let its origin is centered at (0 , 0, 0…

Q: Find the area between the curve f(x) = x2 +11 and the x-axis from x = 3 to x = 7. The area is square…

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Q: A particle is moving along the x-axis so that its velocity at any time t≥ 0 is given by v(t) = 5tet…

A: Explanation of the answer is as follows

Q: Find the directional derivative of f(x, y) = x² - 2xy at the point (1, -2) in the direction from…

A: directional derivatives

Q: If f is the function given by ƒ(x) = √²* √t² — t dt, then ƒ' (2) = 7 a. 2√12 b. √2 c. √12 d. 2√12 B…

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Q: f(x)=5sinx+2cosx,on(−π,π)f(x)=5sin⁡x+2cos⁡x,on(−π,π) a) Determine the intervals on which ff is…

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Q: ४ = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: Question 4. Determine if the series Σ n=1 5n+1 7-2 converges or diverges. If the series converges,…

A: We have to find the given series is convergent or divergent  , if the series is convergent give its…

Q: Find area bounded by y=0,y=√x-x² using double integration.

A: To find the area of the given region.

Q: 12. Integral x² dx x³ +4

A: