Find the distance from the point (5,-3) to the line 7x - 4y - 28 = 0

Q: Write the integral in terms of u and du. Then evaluate. / 6xe* dx, u = -x? (Use symbolic notation…

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Q: What is the general formular for simple linear regression? * a) y = ßo + ß1x b) y = ß1 + ß0x…

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Q: Use the Comparison Test to determine whether the series is convergent or divergent. L n4/5 n- 2 1…

A: P-Test: The series ∑n=1∞1np converges iff p>1 and diverges iff p≤1 Comparison Test: Let ∑n=1∞un ,…

Q: x*+1 dx = 0 y

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Q: VI. In each of the following, find the moving trihedral of the curve r (t) at the indicated value of…

A: As per bartleby guidelines we only give first question answers.

Q: Question 5 Find the derivative: y = (3x 2x) Va5 2x + 2 - - dy 27-14x5-30x2+36x-8 2Va5-2x+2 (3x-2)…

A: The given function is  y=(3x2-2x) sqrt(x5-2x+2).

Q: 1. (a) Find the Taylor series of ln(x) about a for a > 0. Your answer should be in sigma notation.…

A: The taylor series for ln(x) about a for a>0

Q: Determine the extreme values of the ff. functions. f(x) = x^3 -5x^2-8x on [-2,5] f(x) = x^2 + 3 on…

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Q: For the following.problems, you need to provide a clear and detailed solution. s): Consider the…

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Q: Find det A by expanding about the first column. State whether A -1 exists. - 1 -1 -4 A = det A =…

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Q: (1) This question is about the extension of the differentiation rules from 1-dimensional space to…

A: We are given  f(x, y) =(yex , ex+y)  and g(x, y) =(xey , ln(xy) )  We have to verify (i) (f+g)'(x,…

Q: Find the power Series and determmine the radius of convergence. f()= X x'+16 representation for Hhe…

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Q: Consider the following function. f(x) = -7x + 21x + 2 (a) Find the critical numbers of f. (Enter…

A: The given function,      fx=-7x3+21x+2

Q: 0.6 d.5 Q3 A symmetrical parabolic segment y = 4x(2- x) rotates around the x-axis as shown in the…

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Q: (12 Use differentials to est imate fl-2.01) it fCx): x/T-x.

A: We need to find differential estimate. NOTE- As per Bartleby's guidelines we can only solve one…

Q: cos*x _8. If S(cos³x · B) dx = A. -sin x + C, what is the B? С. cos x D. secx B. csc x

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Q: Find the minor M12 and cofactor A12 of matrix A. 1 6 A= 3 3-2 0 1 8. 5.

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Q: The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was…

A: The population A in thousands of Atlantic City in 2014 was 39,521. In 2018, the population was…

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Please refer to the image below

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. y = 2x2…

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Q: Simplify the rational expression by using long division or synthetic division. x3 + x2 – 64x – 64 x…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (12, 13, -11) Vw(12, 13,…

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Q: Approximate the area under the curve y=x^3 from x=2 to x=4x using a Right Endpoint approximation…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 26, (1,…

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Q: Write the complex conjugate of the complex number. 6 + 5i Multiply the number by its complex…

A: Given: Complex number 6+5i

Q: 4. Let f, g be the functions R → R given by 5- 3r if r 1, { if z 5 f(z) = { g(1) = For each of these…

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Graph of the function is given, we have to find its increasing and decreasing intervals

Q: Use graphs and tables to find the limit. 6. lim X-2 X→2

A: Find the limit

Q: Find the limit. 6x + 2 lim e 6x+ 2 =(Type an exact answer in terms of e.)

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Q: Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D.…

A: ∫x5(x6-2)dxPut x6-2=udifferentiate…

Q: A particle travels along the x-axis such that its position is given by a(t) = (t0.9 – 3t) cos (2t).…

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Q: 2- Inx- dx y

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 8.Evaluate the triple Integral. Te by The paraboloid X=2yt + 2z? and the plane X=2. 7x dV, where E…

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Q: 23n (n!)3 30. (3n)!

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Q: III. In each of the following, find r'(0): 1. 7 (t) = (2 – 3t)³ î – sin¬'(2t) ĵ – cos¯(2t) k 2. T…

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Q: Solve using the method of undetermined coefficients y'' - y' + 1/4 y=3 + e^x/2

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Q: Find D in the partial fraction decompositon 12x2 -8x+40 Cx+D + x² +9 B (x-4)(x2 +9) X-4 O 9 O 7 O 10…

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Q: Find the direction in which the function is increasing most rapidly at the point P0. f(x, y, z) = xy…

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Q: lim x - 1 X-> X→-1 x+1

A: limx→-1x2-1x+1=1-1-1+1=00(indeterminate form)Apply L-Hospital rulelimx→-12x  = 21(-1)  =-2

Q: 5. The equation r = 2 sin(0) in cylindrical coordinates describes a surface. Convert this equation…

A: Use relation ship between cartesian coordinate and cylindrical coordinates .

Q: + 4n V1 + n?

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Q: Solve the following equations over the given interval. 1) 4 cos? x-3 = 0 over [0°, 360°) 2) sin?x +…

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Q: Q5/ Find the volume of the Tetrahedron that is determined by three edge vectors a = [1, 0.-3),…

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Q: Show that the function given below is continuous at x = - 5. 3x +14x-5 x# -5 f(x) = x+5 - 16 X= - 5…

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Q: 5x +2y -9z 44 -9x -2y +2z 11 6x +7y +3z =5

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Q: Let f(x) = 2x + 3/3x-2 , g(x) = 4x/3x − 2, h(x) = √3x − 12, F(x) = 3x + 4, G(x) = 2x − 3 a) Find the…

A: Solve question

Q: Consider the following. f(x) = 7xex (b) Find the local maximum and minimum values of f. (If an…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: Use the Integral Test to determine the convergence or divergence of the p-series. 1 Σ n4 n = 1 00 1…

A: Solve the following

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

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