1 — х b. lim х36 (х — 6)2

Q: Find the area inside the circle r = = cos 0, but outside the circle r = 1/2. Sketch the graphs first

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. 2x-5 =…

A: Given data:- 2x-5 = 16

Q: 1. Given ä = (-2,–1,4),B = (5,2,3)and č = (-3,0,5) determine each of the followin a) ĉ b) |2ã – 7|…

A: As per our guidelines we are supposed to answer?️ only 3 question. Kindly repost other question as…

Q: Consider the solid of revolution obtained by revolving the region between the curves y=0 and y=x^2…

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Q: Find the volume of the solid bounded by the cylinder x2 + y2 =16 and the planes y=z, x=0, z=0 in the…

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Q: In sketching the graph of y=f(x) = – 3cos +)+4, we translate the graph of y = - 3cos s 5 by 4 units…

A: Transformation of graph

Q: Find the J(2x + 1)³ dx

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Q: Find all refative extrema and saddle points of the function. Use the Second Partials Te f(x, y) = x…

A: Here,  we have given a two variable function and we have to find out all the relative maxima and…

Q: Pu 6 • (2, 5) (4, –3) Graph of f 3. The graph of ƒ is shown above for 0 < x < 4, What is (A) –1 (B)…

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Q: Evaluate lim (x)/

A: We can find the  limit as below.

Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify possible: c. y…

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Q: 3. Find the 23Td term of the arithmetic sequence whose common difference is d = 4 and whose first…

A: Find the 23rd term of the arithmetic sequence

Q: Let f, g: R → R defined by if x 2 1 ) = {2x –1 ifx< 1 f(x) = and g(x) = 3x + 2. a. Find f-1 and g-1.…

A: ( f○g)(x) = f(g(x)) (g○f)(x) = g(f(x))

Q: The point P(8, – 10) is on the terminal side of an angle e in standard position. What is cot(0)? 41…

A: Solution is given below:

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 8 cos(t)i…

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Q: Find the derivative of the vector function r(t) = ta x (b+tc), where (5,-4, 1), b = {(-4, –3,1), and…

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Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). 3 r(t) = e"i+ etj 9ts K(t) ||

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Q: 4. (x³ + 3x – 1) dx 2 5. 4x x2 6. SIy + 1) – (y? - 1)]dy

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Q: L, f(x)dx + [° f(x)dx = 5. Si f(x)dx – Sº f(x)dx = 4.

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Q: Use a change of variables (Substitution Method) to evaluate the following definite integral. Show…

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Q: nvestigate the convergence of the following series. H.V 2n+5n 2) Σ-1 3n %3D1 1LJ!

A: We have to find out convergence

Q: Evaluate the double integral over the rectangular region { 2(* sin(1) – y sin(z) dA; R= {(x,v) : 0 <…

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Q: In the year 2000, the population of a small city was 43,000. The population grows at a rate of r(t)…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 5…

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Q: Find the length of the curve r (t) = i + 6t°j + 2t°k, 0 <t < V1 L =

A: We will find the length of curve.

Q: A _1. (2x – 3) dx A. -2 _2. L(x3 + 2x) dx В. 0 _3. (x² – 2) dx 1 С. 3 4. S(x3 + 3x – 1) dx 2 D. 2 |…

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Q: r'y'y'+ xy' = 1

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Q: Regarding on the letter c, why is it equated to negative gamma?

A: c) The direction ratio of D→-C→ is -2, 5, -5 from part a. D→-C→ is normal to the required plane.…

Q: x2 dx (x+2)3 In |x + 2| + 4x+6 4x+6 (ar+2)a +C In |x + 2| – (x+2)= Option 1 Option 2 희im lx + 2 +…

A: Given problem:-

Q: 4r-10 (2r+2hlx-3-thb+20+C (2 + 2hk-3 +4hk+ 2) +C Option 1 Option 2 (भे+ 22 + 210l2 3/ 4Mly /2) 1 ८…

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Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: integration

Q: Consider the matrixes 0 3 -9 k A = O .B = ( , 7 7 62 k is a real constant M = (A-B-1)-1 If m22 = 14…

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Q: Find V x (V × F) if F(x, y, z) = 8xyj+7xyz k. V × (V × F) =

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Q: Find the exact value of: 1 + cot (Write your answer in the simplest form, use fractions whenever…

A: Trigonometric values cot2π6=32=3 sec2π4=22=2

Q: 3. 1- xZ dx

A: The integration of the integral is x4sqrt(1-x2), limit from 0 to 1.

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x3 +x)dx

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Q: v (km/hr) t (hours) -b The figure above gives your velocity during a trip starting from home.…

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Q: 2x (x – 3)² A = 6, B = 2 A = 2, B = 6 A = 2, B = - 6

A: The given integral is 2x/(x-3) 2.

Q: Evaluate the improper integral |. 3.x dx or show that it diverges. +1 x?

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Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = =x + 7 over the interval…

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Q: 4–6 Find the directional derivative of f at the given point in the direction indicated by the angle…

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Q: 17. y dx — (х + бу?) dy %3D 0

A: To determine the solution of the given differential equation.

Q: Use the divergence theorem to find the outward flux of the vector field F(x,y,z)=3x2i+1y2j+2z2k…

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Q: As you will show, exponential growth functions ekx always dominate power functions x", and power…

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Q: Evaluate (z° + 6) dæ (z³+6)® +c А. 18 (z³+6)° В. +c (x³+6)* 16 С. z18 + 2x15 + c

A: topic - indefinite integral

Q: Determine the amplitude, period, midline, and phase shifts of the function. Then write the equation…

A: Given problem:- Determine the amplitude, period, midline, and phase shifts of the function. Then…

Q: on. 5x(8- х) dx x(8 - x) dx =

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Q: Consider the points A(1, –3, 4), B(2, –5, 2), C(-1, –4, 2), and D(2,3, –5). (a) Find the volume of…

A: Let a,b,c and d are position vectors of point A,B,C and D resp. Therefore a=i-3j+4k b=2i-5j+2k,…

Q: Use Green's Theorem to evaluate the line integral. dx + (2 + x) dy -y2/2 - C: boundary of the region…

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Q: 1. Find the particular solution of the differential equation that satisfies the initial conditions.…

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