Find the distance of the point (3, 5, -4) from the line r(t) = (1 + 3t, 1 + 4t, 7 − 3t). Answer:

Q: Determine the most possible complex zeros of the following function: f(x) = 3x¹ + 6x¹4 - 7x¹5 + 13x…

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Q: find the equation of the tangent line at (2,1) given ln(y)=4y^2-x^3+4

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Q: 2009. Find the​ country's national credit market​ debt, D(t), since​ 2009, given that…

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Q: 6. Expand each logarithmic expression completely: loga Na

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Q: Use the Shell Method to find the volume of a solid obtained by rotating the region B about the…

A: Figure

Q: Consider the following. u = 9i + 8j v = -8i + j + 5k Find u x v. Determine if u x v is orthogonal to…

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Q: Consider the vector field F = (x³y¹, x¹y³) Is this vector field Conservative? Select an answer If…

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Q: f cos(5x) dx

A: I= integrate of (cos(5x)).

Q: π/4 2 COS X Se е 0 sin x cos x dx

A: ∫0π4ecos2xsinxcosxdx

Q: Let u = 4i + 5j, v = -4i +2j, and w = 3i - j. Determine the i, j form of each of the following: (a)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the area of the region that lies above the x-axis, below the curve x=t^2+6t+2, y=e^(-4) with 0<…

A: The given curve is:x(t)=t2+6t+2     and      y(t)=e-4  ;        0≤t≤1

Q: Question 5 If f(x)=7+- 4 and g(x)=2-1, then find (fog)(x) at x=2 x+1

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Q: Consider the following. f(x) = 2x - y 4 3 2 2 y=2x- 4 dx x² 6 ▸ 8 (a) Write the integral that…

A: The given function is y=2x-x24

Q: ƒ'(x) = = f(x) = + S Find a formula for the function f(x) such that cos(x) and f(5) = 2. X t = t= ||

A: The given function is: f'(x)=cos xx ;    f(5)=2

Q: 6b Expand each logarithmic expression completely: log (100x² - 200x)

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Q: Match each graph with its equation > > -4-3 -2 -7 3 -4-3-2-2 च ষ -4-3-2 -3 2 M -2 -4-3-2-1 4- 3 2 83…

A: Given :- (a) r=1+2sin(θ) Graph of this equation is:-

Q: π/2 b. 2 sec (20) tan (20) de π/3

A: Solve by u substitution ∫π3π22sec(2θ)tan(2θ)dθ

Q: An object moves counterclockwise around a circular path centered at the origin. The radius of the…

A: Let's first find the equation of the circle with a radius of 2 feet centered at the origin. The…

Q: 5. Graph the equations and shade the area of the region between the curves. If necessary, break the…

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Q: Question 1 Consider the function f: R→R, given by -((m + 1) -mx) (x+1), C (a) Find the y intercept…

A: SOLUTION:-   Given,   f(x)=1ex((m+1)-mx)(x+1)   and the value of m is taken as 3.

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region underneath…

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Q: The graph of f(x), shown here, consists of two straight line segments and two quarter 15 circles.…

A: Figure

Q: The function f(x)=0.06x+100 represents the rate of flow of money in dollars per year. Assume a…

A:

Q: 4) Let Alt) = a) S -3t A(t)dt Cost of the following expressions: 介 sint -e²t Evaluate each b) of…

A: At=e-3tsintcoste-2t

Q: Solve given Homogeneous D.F (i)(²38²)dx - 2xy dy=0; y[2]=6 0.2

A:

Q: 2. Evaluate the following integrals using either partial fractions or by parts. a) adx b) √x cos(2x)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the indefinite integral: f (In x)7 da S X <- +C

A: The integral is ∫lnx7xdx To determine: the solution of the indefinite integral.

Q: π/4 a. Se 0 310 c. S cos²x sin (tan 1 + t t) Evaluate each definite integral. sin x cos x dx dt TT/2…

A: We solve the given integral.  Repost the 4th part.

Q: 1) Consider the coordinate triple (3,-1,-5). a. Plot the point by hand. (Please draw a large enough…

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Q: Evaluate the indefinite integral: 5x+4x³ (x5+x4)³ dx S J +C

A: The indefinite integral is ∫5x4+4x3x5+x43dx

Q: C. f(x)=2x² - 6x +3+cos (x²-1) at C = 1.

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Q: Compute the work required to stretch a spring from 5 to 14 cm past equilibrium, assuming that the…

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Q: Write an equation for the polynomial function graphed below -4 -3 -2 -1 4 3 2 7 3 & 2 3

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Q: Show that the differential form in the integral below is exact. Then evaluate the integral.…

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Q: A particle moves along line segments from the origin to the points (1, 0, 0), (1, 3, 1), (0, 3, 1),…

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Q: Given the Taylor series et =1+x+ + ++ x³ 2! 3! n! the following at c = 0. Express your result using…

A: The given function is: f(x)=x4e-5x

Q: Use the following information to determine sin(2x). Answer 3 cos(x) = and sin(x) is positive 4…

A: given, cos(x)=34given, sin(x) is positive we know, sin(2x)=2sin(x)cos(x)

Q: Let R be the region bounded by y=4−x2 and the x-axis where 0≤x≤2.   a) Use the method of disks to…

A: The region R bounded by y=4-x2 and the x axis where 0≤x≤2 Graph

Q: et f be the function given by f(x)=ln(5-x). Find the third degree Taylor polynomial for f about x=4

A: fx=ln5-x

Q: 3) Let R be the region enclosed by x = 2, x = 3, y = 16 – 24

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Q: [² sin 4 0 √3 x cos x dx = x√x² + 1 dx = Use u-substitution to evaluate the following integrals:

A:

Q: The point (4,7) lies on the graph of f(x) State the coordinates of the image of this point under the…

A: Given point is (4,7) also, y-2=f(x+1)

Q: Subject : Calculas   Solve the following simultaneous equations for X, Y, Z, W with modulo-2…

A: The given system of equations: x+y+z+w=1x+y+w=1x+z+w=1y+z+w=1

Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 -0.01x + 0.000006x² (in…

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Q: Find the area of the region inside: r = 9 sin but outside: r = 2

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Q: 2) Describe the 3D surfaces in words and draw a graph by hand. Your description should include the…

A: a) y=x

Q: Find the average value of f(x) = x² on the interval [2, 5].

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Q: 4 d. f- S- dx 2 2 x√4x16

A: I=∫24dxx4x2-16

Q: 56. Reunte each expression as a Answer: single loganthm: 31n (x) + In (y-1)

A: let  H=3lnx+lny-1