Find the distance from the point (-4,-6,4) to the line a(t) = ( – 5, 1, − 3)t + (− 7, — 4, 7) FORCYY

Q: Write out the first four terms of the Maclaurin series of f if f" (0) = 18 f(0) = 4, f'(0) = 2,…

A:

Q: Convert the result to exponential form. The exponential form of log5 6 1.1133 is

A: We have to conver expression into exponential form.

Q: Evalulate the limit below by filling in the table. This is probably a function you are unfamiliar…

A:

Q: Find the derivative. f(x) = 8√√2x² +7 f'(x) =

A:

Q: If the marginal cost of producing x units of a commodity is given by  C'(x) = 0.3x2 + 2x and the…

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A:

Q: Consider the following power series. Let a = lim LIM R 11 (-1)*(x-8)* ku 11k (-1)* 11k (x-8)*. Find…

A: Solution will be given below

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = √√√√x² + y²,…

A: Given: gx,y=x2+y2, p7,24, v=3i-4j   As we know the expression for the directional derivative of the…

Q: An unbounded solid sits above the x-axis, for 1 ≤ x ≤ ∞, being in cross-section a disc of radius e*…

A: We have to find the volume of unbounded disc.

Q: Find the critical point for f and then use the second derivative test to decide whether the critical…

A: Given function is: f( x ) = -x2 + 6x - 2 To find the critical point.

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 15, (1, 3, 5) (b)…

A:

Q: 10. (9x2 + y-1)-(4y - x) y' = 0, y(1) = 0

A:

Q: Find the gradient of the function at the given point. Function Point f(x, y, z)=√√√x² + y² + z² (2,…

A:

Q: Use the graph of f(x) -7 -6 -5 -4 -3 -2 -1 O a) Find f(-2) 4 O + esc 3 Submit 2 -1 d) Find lim f(x)…

A:

Q: At what point(s) does the curve y = 2x³ - 7 have a tangent that is parallel to the line y = 6x + 5 ?

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative…

Q: For each of the indefinite integrals below, choose which of the following substitutions would be…

A: For each of the indefinite integrals below, to choose which of the  following substitutions would be…

Q: Find the average value of f over the given rectangle. f(x, y) = 3ey√√x + ey, R = [0, 10] × [0, 1] X…

A:

Q: Suppose that f(5) = 1, f '(5) = 4, g(5) = -5, and g'(5) = 9. Find the following values. (a) (fg)'(5)…

A: Given query is to find indicated derivative.

Q: Find the mass of the intersection of two rods with constant mass density p that is formed by the…

A: We can solve it as follows

Q: Consider the function f defined by the formula √ Aex-2 + cx - 3c if x 2. f(x) = = If A =19 and B =…

A: The function is given as , fx=Aex-2+cx-3c      if   x<2x3+cx2+B              if   x≥2 If A=19 and…

Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

A: Note: There are multiple sub-questions. No specific question has been asked. So, We will solve the…

Q: Use l'Hôpital's Rule to find the limit. t³-4t+15 lim t→-3 t²-t-12

A:

Q: Prove by strong induction that root of 2 is irrational.

A:

Q: Problem 2 Consider the function f(x)=1 of 0<x< 1 and f(x)=0 if 1 < x < 4. Find the coefficients an…

A:

Q: Find the minimum and maximum values of f(x, y) = x²y4+1 subject to the constraint x² + 2y² = 6.…

A:

Q: Given that log(5) ≈ 0.6990 and log(2) ≈ 0.6990 and log(2) ≈ 0.3010, find the value of the logarithm.…

A: The given data is: log5≈0.6990log2≈0.3010  Find the value of the logarithm log52

Q: Use spherical coordinates to integrate f(x, y, z) = x² + y² + z² = 81. (Give an exact answer. Use…

A: Calculation of above requirement are as follows

Q: 112. Gaussians An important function in statistics is the Gaussian (or normal distribution, or…

A:

Q: 7. If f(3) = 15, f' is continuous, and f f'(x) dx = 27, what is the value of f(8)?

A: We have given a continous function f' f3=15 ∫38f'x=27 As,  ∫f'x dx=fx ∫38f'x=fx38=f8-f3 So,…

Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: Let D be the region under the curve y = In √ and above the x-axis = e. Find the volume of the region…

A:

Q: sing the y equation instead of the x equation.) x=31², y=t+1

A:

Q: C) Convert the equation 5x² + 2y² = 3z to spherical coordinates.

A:

Q: The demand curve for original Iguanawoman comics is given by (357-p)2 (0 sps 357), 100 where q is…

A:

Q: The temperature at a point (x, y, z) is given by -x²-3y²-72² T(x, y, z) = 300e7 where T is measured…

A:

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = √√√√x² + y²₁…

A: Given query is to find direction derivative.

Q: Justify parts a-d with a 2) Given: f(x)=x+3 a) Find all intervals of increase and decrease. b) Find…

A:

Q: Is this fully simplifed ?

A: Find y' for the function y=6x-3x2+7x.

Q: Find the most general antiderivatives. a. y' = 3x² - 4x + 7 b. c. f'(x) = sec² x + cos x + 5 g (x) =…

A:

Q: PTT/5 sin¹ (5x) dx =

A:

Q: For the function ​f(x)=2e^−x^3​, find f′′(x). Then find f′′​(0​) and f′′​(1​).

A: To find f''(x)

Q: Use the equations m = (Σ*k) (Σγκ) - η Σ×κυκ -n and b = n (Ek-mΣxx) with all sums running from k = 1…

A:

Q: Use Cramer's rule to solve the system of equations 2x1 + x2-3x3 21-2x2 + x3 3x1 +4x22x3 = 1 = 0 =…

A:

Q: Translate the given matrix equation into a system of linear equations. (Enter your answers as a…

A:

Q: Complete the parametric equations for the line where the planes x + 5y - 12z = 26 and -9x+10y = - 20…

A:

Q: x+1 ƒ ( ² + ¹) + f(x) = x + 1 X find f(x)

A:

Q: A projectile is launched straight up in the air. Its height​ (in feet) t seconds after launch is…

A:

Q: Find a plane through the points (-5,-6,2), (2,5,7), (-6,-4,6)

A:

Q: 1 When is the velocity of the particle positive? When is it negative? When is the particle speeding…

A: