Find the point P where the line x = 1+t, y = 2t, z = -3t intersects the plane x+y-z=-1. -000 P=

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy + 5y², Po(-4,1),…

A:

Q: a tank contains 1000L of brine with 15kg of dissolved salt. pure water enters the tank at a rate of…

A: The answer is in step 2.

Q: n=4; -1,4, and 4+2i are zeros; (1)-78 f(x) - (Type an expression using x as the variable. Simplify…

A: Given: n=4-1,4, amd 4+2i are zerosf(1)=-78

Q: Write an iterated integral for a. vertical cross-sections, b. horizontal cross-sections. da dA over…

A: We have to find the  Iterated integral for vertical cross section and horizontal cross section.

Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: We have to find the average acceleration form the above table given.

Q: -0.1t If C(t)= 18.5te the concentration, in measures ng ml concentration is 50- ng ml a person's…

A:

Q: Find and classify the critical points of z = Local maximums: Local minimums: Saddle points: (z² -…

A:

Q: A projectile is fired from ground level with an initial speed of 100 m/sec and an angle of elevation…

A: For detail go through the solution...I have solved in detail..step by step

Q: The graph of a twice-differentiable function f is shown in

A:

Q: For any constant a, let g(x) = ax - 2xin(x) for x > 0.

A:

Q: Investigate the one-parameter family of func f(x) = x - ax¹/2 (a) What is the domain of f(x)?…

A: Given : Domain : find non negative value of radical Answer :

Q: en: y = u² - 2u¹ and u = x + √x. Find when x = 9.

A:

Q: At noon, ship A is 120 km west of ship B. Ship A is sailing east at 20 km/h and ship B is sailing…

A:

Q: Find the exact area of the surface obtained by rotating the curre around the x - as is 1 16-x1 g= +…

A: Given that , y=6-x , 4≤x≤6 find the area of the surface obtained by rotating the curve around the…

Q: Suppose that f is a function given as f(x) = 3x² - 7x. Simplify the expression f(x + h). f(x + h) =…

A:

Q: Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and…

A: NOTE: Refresh your page if you can't see any equations. . x=number of quarts of creamy vanilla…

Q: Use the following three identities to evaluate S sin sx cos tx = sin sx sin tx = cos sx cos tx = ·S=…

A:

Q: x  ≤  12 −4x + 144 x  >  12 Evalute 36 ∫ 0 f (x) dx. (Note that since  f (x) is defined in a…

A:

Q: 2 få 8xclx o x4-8x²+32 3. f= 1/4 (1 + sinx) dx + 4. Find y if f (2x+7)dx य (1+ sinx) dx = In/ x² +…

A: (2). The given integral is: ∫02 8xx4-8x2+32dx

Q: Follow the steps below for the given function. x³ 4x² - xy = 7 Solve the equation for y. y =…

A: x3-4x2-xy=7d dx(xn)=nxn-1d dx(constant)=0

Q: For each cost function (given in dollars), find the cost, average cost, and marginal cost at a…

A: Given : a. at q = 1000 Average cost = 128000/1000 = 128 dollars / unit   Marginal cost for q=1000

Q: Setup and solve an iterated double integral that is equal to the volume of the solid in the first…

A: We have to find volume.

Q: In Exercises 35-40 use the root test to analyze whether the given series converges or diverges. If…

A: The given series is:∑k=1∞ 5kk24k+1

Q: Find the nominal interest rate that yields an effective interest rate of 7%/year compounded…

A: ⇒i0=1+rnn-1⇒i0=Effective annual interest rate ⇒r=nominal interest rate per year⇒n=number of interest…

Q: Find the scalar equation of the plane containing the line: 1₁: [x, y, z] = 1₂: [x, y, z] = [2, 6,…

A: The solution is shown below-

Q: Question 3 of 10, Step 1 of 1 Suppose that y varies inversely as the 4th power of .t, and that y = 4…

A: Given y varies inversely as 4th power of x  let proportionality constant = k

Q: If f is decreasing and its graph is concave up on (0, 1), which of the following could be the graph…

A:

Q: The figure shows a lamina that is shaded according to the given density function: darker shading…

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

Q: Find the length of the arc of the curve y = 2 34 3 (4 x − 1)2 from x = 0 to x = 6

A:

Q: How long will it take for an investment of $5,000 to grow to $25,000 if the investment earns…

A:

Q: In the figure, a small block of mass m = 0.044 kg can slide along the frictionless loop-the-loop,…

A:

Q: A simplex matrix is given. 1 10 X = 01 y = 4 5 7 12 12 0 9 0 14 00 The solution is complete, so…

A: We have to find the maximum value of f and values of x,y.

Q: Evaluate the integral by changing the order of integration in an appropriate wa 11 1 SSS 12xze²² dy…

A:

Q: Find the first and second derivatives of the function. g(x) = -5x³ + 10x² + 4x − 64 g'(x) g"(x) =

A:

Q: Ĉ the given curve is rotated around the y-axis Find the area of the resulting surface y = I 9 2 "² I…

A: The given curve is:y=14x2-12ln x ;           4≤x≤5

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: Evaluate JJ curl curl F. N dS where S is the closed surface bounded by the graphs of x = 6, z = 25 -…

A:

Q: Ted makes a chart to help him analyze the continuous function y = f(x): y ょく-l + z=-1 2 0 -12 y 1 -2…

A: We need to choose correct option.

Q: Find the function with derivative f'(x) = e4x that passes through the point P = (0,5/4). f(x) =

A:

Q: You are asked to build an open cylindrical can (i.e. no top) that will hold 171.5 cubic inches. To…

A:

Q: Find the centroid of the region cut from the first quadrant by the circle x² + y² = 81.

A: Find the centroid of the region cut from the first quadrant by the circle x2+y2=81.

Q: If   C(t)=71.4te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A: The concentration of drug in a person's system is given by the function:C(t)=71.4e-0.4t

Q: Find the centroid (x, y) of the region bounded by: y = e³¹, y = 0, x = 0, and x = 2.

A:

Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

A: Given, f(x, y) = e-xyRegion, x2 + 4y2 ≤ 1   Finding the critical points, ∂f∂x = -ye-xy∂f∂x = 0, y =…

Q: Write each expression in the form 2kx or 3kx for a suitable constant k. (a) 2x 1 (37) 81 (b) - 3x 1…

A: Please find the solution as per Bartleby guidelines

Q: metal Bar at a temperature of 120°F is placed in room temperature 10F, If after 20 mins, the…

A: Given: T1=temperature of the metal bar, 120°FT2=room temperature, 10°FT=temperature of the metal bar…

Q: ← Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Note:- This is multiple subparts and we can do only 3 subparts so i am solving here first 3 sub…