Find the (perpendicular) distance from the line given by the parametric equations (x(t) = 5+9t y(t) = 7t = 2-9t z(t) to the point (-1, 1, −3).

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A: If you have any help please let me know in comment box thankyou.

Q: = Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry 19 kN/m³ for (i)…

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A: Verify: Since)log4​(x+2) is undefined for x=0 the only valid solution is x=4096Answer: x=4096

Q: C, #14

A: We draw the common graph for part (a) and part (b) after solving part (b)   Therefore, the graph…

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A: Step 1:Step 2: Hence only 2nd option is correct.

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: Step 1: Step 2: Step 3: Step 4:

Q: Is the function f(x) continuous at x = 1? (x) 7 6 5 4 3 2 1 0 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3…

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Q: could you explain this using stoke theoremi already circled the correct answer

A: F⋅drUnderstanding the ProblemWe're asked to find the flux of the curl of the vector field F through…

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A: Step 1: Compute the points of intersection. Since y = x4 and y = x, then x4 = x. Transfer all terms…

Q: 2+5n2 1. Determine whether the sequence (b) converges or diverges. 2. Determine whether the…

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Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. 3 y f(t) MA t (a) At what values…

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Q: dy Find for y = xetanh 3x + cosh 1 x²+10 dx Find S 1−sinh 2 x cosh x 2 dx

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Q: The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 3.…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: by Lagrange theorme find (4) Soultions independed for: 2x (y + z²) P + Y (29 +2²) q = 23

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Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

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Q: Draw the asymptotes (if there are any). Then plot two points on each piece of the graph.

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Q: Solve π сах 1- / Sea costand x 2- π -πL {"e" -J xd ax sin(x) dx

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A: Step 1: Step 2: Step 3: Step 4:

Q: the answer is Dcould you explain how using the curland also please disprove each option that is…

A: We are given the vector field: F(x,y,z)= (x1​+x2,5,z21​+z2) and the domain:…

Q: • -7 10 1.0 (2 - x) for 0 < x < 2, Let f(x) = for 2< x < 6. Compute the Fourier cosine coefficients…

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Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to…

A: Step 1:Step 2: Step 3: Step 4:

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

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Q: #1, #9

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 2. (15 pts) Write the Maclaurin series for the function f(x) = sinx. Use it to write the Maclaurin…

A: ### 1. Maclaurin Series for  f(x) = sin x :  The Maclaurin series is the Taylor series expansion of…

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Q: Complete the description of the piecewise function graphed below. 6 5 -7-6-5-4-3-2-1 2 3 5 6 -1 -2…

A: Identified points from the graph: 1. First segment: Points: (−6, −3), (-4, 0), (-2, 3) 2. Second…

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Q: Find the first moment about y-axis (My) and center of mass (X) of the region bounded by the line y =…

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Q: y = f(x) b C The graph of y = f(x) is shown in the figure above. On which of the following intervals…

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Q: Calculate the first five terms of the following sequence cn = n+(n+1)+(n+2)+···+(2n)

A: If you have any questions let me know in the comment box thankyou.

Q: Question Given the following piecewise function, evaluate lim f(x). (If the limit does not exist,…

A: I have solved the question and obtained the answer with proper explanation. Kindly check it properly…

Q: Find the exact length of the curve. - x = 5 cos(t) = cos(5t), y = 5 sin(t) - sin(5t), 0 ≤ Z ≤ π

A: We find the exact length of the curve defined parametrically by x(t) and y(t) by using the formula…

Q: g Ske Find the area of the region bounded by the parabola x = 2y- y² + 1 and the line y = x + 1

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: chool Which of the following functions describes the graph of g(x)--2√9-x²+37 9 8 7 6 4 2…

A: The given function g(x) = -2√(9-x²) + 37 is a transformation of the basic square root function √x.…

Q: 5. Construct a (2 × 2) matrix that performs the following linear transformations, in order, at once:…

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Q: Submit answer Reset item Calculate the length of the astroid of x + y = 5. S = a Submit answer…

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Q: Estimate the integral of lnx dx with upper bounds of 5 and lower bounds of 1 sing the Trapezoidal…

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Q: This question is a previous exam question. I am using it for practice but am stuck

A: Step 1: Understand the region RThe two circles:Circle 1: x2+y2=100This is a circle centered at the…

Q: Let f(x) = k(5x − x²) if 0 ≤ x ≤ 5 and f(x) = 0 if x 5. - (a) For what value of k is f a…

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Q: Estimate the instantaneous rate of change of the function f(x) = 2x² - 3x − 4 at x = -2 using the…

A: If you have any help please let me know in comment box thankyou.

Q: Hyperbolic function - Home work Q₁ show that: d (sechu) = -sechu.tanu. Ju dx Q3 show that: coth x =…

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Q: Find the one sided limit 2 lim Flx) where f(x) = (x²-4_x<l X73- 2 34-x² 1<x<3 3x-1 358

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Q: the integral of the squre root of x dx with upper bounds of 9 and lower bounds of 1 is 14.2302 but…

A: The given values are:Integral of the square root of x dx with upper bounds of 9 and lower bounds of…