Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the point (4,2,-5) and perpendicular to the plane y+3x-6z=8.

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A:

Q: e) True or False: If 25 oranges are placed into 22 baskets, then at least one basket must contain at…

A:

Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: Reducing to partial fractions

Q: Write the first four elements of the sequence. n+1 3n- -1, 1, 콩, 글 1, 금, 글, 유 5. 2 0, 글, 글, 콩

A:

Q: Calculate r' (t) and T(t) and evaluate T(1). r(t) = (6+ 71,1,5 – 1²) (Give your answers using…

A:

Q: A driver accelerates when the car is traveling at a speed of 30 miles per hour (i.e., 44 feet per…

A: This question can be solved by applying the equation of motion.

Q: Simplify f and find any vertical asymptotes of f. x²(x+8) f (x)= x²+ 8x

A:

Q: Calculate the indicated Riemann sum Sz for the function f(x) = x - 9x- 22. Partition [0,6] into…

A:

Q: Using the Principle of Inclusion-Exclusion, determine the number of binary strings of length…

A:

Q: Problem X.6 Let f(z) = : Find the interval of convergence for f,f',f". %3D n2 n=1

A: Ratio test:limn→∞ an+1an <1f(x)=∑n=1∞ xnn2limn→∞ xn+1 n2(n+1)2 xn <1limn→∞ x 1+1n2…

Q: 3. Through the point (4, -5, 20) and perpendicular to the plane x + 3y – 6z - 8 = 0.

A:

Q: QUESTION 6 Use trial-and-error to determine the smallest integer n for which the given statement is…

A:

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

A:

Q: 2. Evaluate the following limits. cos X h. lim-

A: Limit

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A:

Q: QUESTION 9 Solve the problem. Doctors in a certain city report 27 confirmed cases of the flu to the…

A: Note:- as per our guidelines we can solve only one question please post 2nd question in other…

Q: dx dy 2 Select one: True False

A:

Q: Compute the length of the curve r(t) = (-6t,4t + 4, –5t – 3) over the interval 0 < t < 7. (Use…

A: The curve rt=-6t, 4t+4,-5t-3 over the interval 0≤t≤7

Q: sinh x 1+ cosh x

A: sinh x1+cosh x

Q: Tutorial Exercise Find the sum. 4(k + 1)²(k – 4) k = 0 Step 1 Recall the definition of summation…

A:

Q: 25x at P(5,0) in the x + y Find the directional derivative of f(x, y) direction of Q(2, –2). NOTE:…

A:

Q: Let å = (– 4, 0, – 5) and b = (– 4, 1, 3). Find the angle between the vector (in radians)

A:

Q: au = 6x + 7, du = e*dx. %3D

A: answer is in next step

Q: Show that the lines L1 : x = 4 – t, y = 2t, z = 5+t and L2 : x = 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=4-t, y=2t, z=5+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

Q: ne indicated function y, (x) is a solution of the given differential equation. Use reduction of…

A:

Q: ewrite int _0^1 int _0^{2-2x} int _0^{{1/2} (6-6x-3y)} dzdydx as dzdxdy and dydxdz

A:

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

A: The given function,    f(x)=-7+20x2+10x33

Q: y=x/x+1 is a solution of what differential equation

A:

Q: ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

A: Given query is to find the average velocity.

Q: Exercise To Try 7 Let f(x) = V. Estimate the area A under the graph y = Va between a = 1 and b= 4…

A:

Q: Evaluate using Integration by Parts. (Use symbolic notation and fractions where needed.) xeSx+6 dx…

A:

Q: Assume s is an angle with sin (s) = .t is an angle with cos (1) =. and both angles are between 0 and…

A:

Q: 2. Let -x2 12x – 32, x 6 2 (a) Sketch the graph of f. (b) Identify the domain, range, and zeros of…

A:

Q: Find the speed over the path r(t) = (sin(3t), cos(6t), cos(3t)) at t = (Use symbolic notation and…

A: The path r(t)=sin(3t),cos(6t),cos(3t) at t=π2

Q: A ball is dropped from a 200 foot cliff. If gravity is 32 ft/sec2, find the position function of the…

A: Given :- Initial height of ball (S0)= 200 feet Accelaration due to gravity(g) = 32 feet/sec2…

Q: The population of an unknown bacteria in an experimental culture is estimated by the population…

A:

Q: then the distance from a point P to the line L is equal to the length he component of the vector AP…

A:

Q: Let s be an acute angle so that sin (s) = Find the indicated value exactly. cos (2s) (Give an exact…

A:

Q: Find the area of the region bounded by the given pair of curves. Area inside the circle r = 3 cos 0…

A:

Q: Use mathematical induction to prove the given statement for all positive integers n. 20+10+0+..…

A: We have to prove given statement with mathematical induction.

Q: dx 2. e2x+1

A: ∫dxe2x+1let ex=tan ydifferentiate O.B.Sexdx =sec2y dy∫1tan2y+1×(sec2y dytany)

Q: dy dx Assume x and y are functions of t. Evaluate for 4xy -3x + 5y° = - 210, with the conditions dt…

A:

Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

A:

Q: Find the area of the parallelogram that has u = i – 2j+k and v = 3j +k as adjacent sides. NOTE:…

A:

Q: If P, is (1, 2, –3) and P2 is (-4, 0, 5), find (a) The distance PP2 (b) The vector equation of the…

A: Given,             P1=(1,2,-3)             P2=(-4,0,5)

Q: Let i = (6, – 6, 1) and v = (– 5, 5, – 6). %3D Compute the following: i · i = i. i = - 6(ü - i) = (–…

A: To evaluate the given dot product of vectors u and v.

Q: The graph of the velocity function v = v(t) is given below. Determine the distance trav- eled during…

A: Distance traveled is given by area under the velocity - time graph. So, basically we have to find…

Q: Graph the following vector addition: + Start from the origin. One vector to show One vector to…

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v = i+j+ 7k w = i + 8j + 2k %| Find…

A: The volume of the parallelepiped is 253

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: