Find the distance from the point (7,-4,5) to the line a(t) = (5,-3, -2)t + (6, 8,-4). Calculator

Q: Q11 Compute (a) [3.14] = dx (b) Compute [54] = d 5-4x- dx 3

A: To compute the following. (a) ddx3.14 (b) ddx5-4x3

Q: Evaluate the integral. 2 2π π [ 0 0 0 sin z dx dy dz 2 2π π SS Sy sin 'sin zdxdydz =| 0 000 (Type an…

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Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: Given: g(x) = x+5x2-25 The function does not exist when their denominator is zero. That is,…

Q: Find the derivative of the function. y' = y = etan(e)

A: We use chain rule to find the derivative of the following function.  dftdθ=dfdt·dtdθ also use the…

Q: Find the derivate of the functions: a) f(x) = -3x²³ -4 sxt9 · f'(x) = (6) g (v) = 3 2√² +5V-9 g' (v)…

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Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 1 y+2 2…

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Q: Q8 Find the slope at x = 2 on the graph of f(x) (a) -3 N/W (b) 3/3 (c) 3 4 = 3 (d) 0

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Q: Each of the limits below represent a piece of the passcode that you must enter to proceed. The…

A: We have to find the limits to get the passcode.

Q: Consider the following. Find r'(t) and r"(t). r' (t) r"(t) = K= r(t) = (4t², In(t), t In(t)) = Find…

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Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: For x approaching c from the left, x<c  ⇒  x-c5<0The denominator is a negative  approaching…

Q: A solid is constructed so that one side is the region between the lines x = a, x = b, the graph of y…

A: Consider the given solid. We know that if the cross section is perpendicular to the x-axis and the…

Q: Write a rational function whose graph is shown below. -1 + 2 0 -2- T 1 1 + 2 F L 3 + 1 (4,0) 4 1 -10…

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Q: Given the vector u = (-5,4), find the magnitude and angle in which the vector points (measured…

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Q: (x+1 Q. #7 For the function g(x) = 3 if x 2 constant "b" that makes g(x) continuous at x=2 Final…

A: g(x) is continuous    here we find value of b by using condition of continuous function

Q: First, let me say that I appreciate all the valid help that I have been receiving because the step…

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Q: Consider the graph below. Which of the following is the interval [a, b] or the limit of integration?…

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Q: sin 20x sin 21x dx =

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Q: du Draw a dependency diagram, and write a chain rule formula for ds Choose the correct dependency…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. y² + 8y +49 (y² +49)²…

A: The given integral is:∫y2+8y+49y2+492 dy

Q: (a) Find the derivative of r(t) = (4 + t)i + tej + sin(5t) k. (b) Find the unit tangent vector at…

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Q: Question 21 Suppose that is differentiable function and f'(r) 2 2r-1 for all are R. If f(0) = 1,…

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Q: Let f(x)= = 4x² tan(x) sec(x) 1. f'(x)= 8x*sinx+4x^2*cosx 2. f'(1)= . Find the following:

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Q: Use the washer method to determine the volume of the solid formed when the region bounded by y =…

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Q: Find the distance from the point (4,-4,-5) to the line a(t) = (3, 1, − 4)t + (9,- 5,3)

A: Given equation of line:- a→t=3,1,-4t+9,-5,3

Q: Consider the function f(x) = 12x³ +30x¹ - 160x³ +4. f(x) has inflection points at (reading from left…

A: Application of Derivative

Q: A tank contains 500 gallons of salt-free water. A brine containing 0.25 lb of salt per gallon runs…

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Q: In this problem, p is in dollars and q is the number of units. Suppose that the demand for a product…

A: Given: Demand for product is given by 2p2q = 30000+9000p2, where p is in dollar and q is the number…

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 2.3*,…

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Q: the answer is incorrect

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Q: Sketch the region of integration and change the order of integration. So f f(x, y)dydx

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Q: Find the derivative of the functio y = sin ¹(6x + 1) y' =

A: Given: y=sin-16x+1

Q: Suppose the demand for a certain brand of a product is given by ​D(p)=−p^2 / 416+450​, where p is…

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

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Q: (a) Use differentiation to find a power series representation for 1 (6 + x)2 f(x) = f(x): 00 Σ n = 0…

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Q: a) Suppose that lim n-00 ∞ The series Enan n=1 an+1 an 1 == 2 converges ✓ by the ratio test <

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: Differentiate. h'(0) = h(0) = 0² sin(0)

A: Derivative

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-5x (Use…

A: We draw the graph of the function and find the total area by integrating

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Given function f( x ) = 36-x2

Q: Consider the function f(x) = 2x³ - 5x on the closed interval [-4, -2]. Find the exact value of the…

A: We have to find the slope and value of c.

Q: Evaluate lim x→∞ _x3 _ 5x2 +52 – 2 x² + 4x +3 =

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Q: Which of the following is the largest interval in which the solution of the initial value problem…

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 8s² - 49s + 294 s(s² +49) Your…

A: given  Fs=8 s2 - 49 s + 294s  s2 + 49 and asked to find the inverse laplace transform of F( s ).

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 3x² +…

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Q: An open-top rectangular box is being constructed to hold a volume of 350 in³. The base of the box is…

A: Given: volume = 350 in³ base material costing = 6 cents/in² front cost = 12 cents/in² remainder…

Q: The sum of integrals below give the area of a region in the xy-plane. Sketch the region, label each…

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Q: 3. Find the centroid (, y) of the region bounded by y = 2 cos(3x) and y = 2 sin(3x) from z = 0 to z…

A: Centroid is given by x¯=1A∫abxf1(x)-f2(x)dx and y¯=1A∫ab12f1(x)2-f2(x)2dx where A=∫abf1(x)-f2(x)dx

Q: (a) Find the derivative. y = In(4x - dy dx (b) Find the derivative. y = ln ( 4x = dy dx 6) - 3 In(x)…

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