Find f, and f, as functions if 2y f(x. y) = y+ y + cos x

Q: The current population of a certain bacteria is 5410 organisms. It is believed that bacteria's…

A: Given, Initial population (P)=5410 , Rate of multiples (R)=3 , Triplet in 9 minutes. Therefore n=9…

Q: Find the domain of r(t) and the value of r (to). NOTE: Round your answer to two decimal places when…

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Q: Problem 6. The area A of a triangle is given by A=ac sin B, where B is the angle between sides a and…

A: Area of triangle, A=12acsinBa is increasing at 0.4 units/sc is decreasing at 0.8 units/sB is…

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

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Q: The general solution of y² + x² ªY dx xyis dx

A: This is a homogeneous differential equation which can be solved by putting y=vx

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: The shaded region between the graphs of 2x2 + 20 and y = 3x – 15 is displayed - - below in orange.…

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Q: Consider the function f: R → R define by f(x) = a?x3 + x² with a a real constant , a + 0, We can…

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Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ subject to the given…

A: f(x,y,z)=39x+12y-56z;  x2+y2+z2=19204.

Q: 9. Find the point on the curve y x² closest to the point (0, 1).

A: As per bartleby guidelines we only give first question answers.

Q: 1-6 Use an appropriate form of the chain rule to find dz/dt. 1. z = 3x²y*; x = r^, y = r² 2. z =…

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Q: Compute f(x)dx (6 points) f(x) = { 2x if x<1 4 if x21

A: In this we have to do the integral of given function so I'm providing hand written solution for this

Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

A: This question is related to Straight line, we will solve it using given information.

Q: Evaluate the limit. 10 lim x→1 х — 1 х2 + 8х — 9 Give your answer in exact form. If the limit does…

A: We have to check limit exist or doesn't exist

Q: If the following function f(1)= are , for some non zero constant real numbers a and b a? equals 1662…

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Q: estion 10 ICLO-1] Three players (one divider and two choosers) are going to divide a cake fairly…

A: Given ,  Three players (one divider and two choosers) are going to divide a cake fairly using the…

Q: - In an electronic device, individual circuits may serve many purposes. In some cases, the flow of…

A: Here, the given function is: p(x)=V2x(R+x)2 of power to find x that maximize the power.

Q: Suppose w = x = cos? t, y = sin? t, z = dw Evaluate at t = 3 , by using the Chain Rule dt

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Q: 3 The series E converges if n=2 (n+ 1)P (n – 1)ª (a) p+q1 (c) p+q=1 (a) p+q=2 (e) -1<p+q<1

A: Solve the following

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Let's find.

Q: A thermometer reading 60° F is placed in an oven preheated to a constant temperature. Through a…

A: Let T represents temperature of thermometerand S be the constant temperature of oven.  t represents…

Q: aluate the iterated integral. || 5x²sin(y) dy dz dx =

A: Given: ∫0π∫05x∫0xz5x2sinydydzdx

Q: Find the derivative of the function at Po in the direction of A. g(x, y) = x- (y/x) + V3 sec (2xy),…

A: we have to find directional derivative.

Q: Find the inverse function G for the function F(x) = (x-1)/7 in the real numbers. Show all steps.

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Q: Find the centroid of the region bounded by the graphs of 512 y = x, x = and y = 16. NOTE: Enter the…

A: Given; y=x , x=512/y^2 , and y=16

Q: Find the volume of a cap of a sphere with radius 50 and height h = 3.

A: volume of sherical cap with radius given r=50 and height=3

Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: ∫z6z7+2dz

Q: 2 2-y Mote: Complete lirst for X, them or Y.

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Q: Find the limit. NOTE: Enter the answer using round brackets. t? + 4 1 lim 5t2 + 6 7t (?,?)

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Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y²/x) + V3 sec-'…

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Q: y is a function of  x and the slope of the function is zero at x=10 then to determine that y reaches…

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Q: 2pm travels east at 50 mph. How fast are the trains separating after a long time?

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Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly…

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Q: 5. Evaluate the limit of (x^3-2x^2-x+2) /(x^2-4) as x approaches 2. a. a b. % с. 2/5 d. 4/7

A: Note: Since the student has posted multiple questions but first question (question number 4) is…

Q: 8 cossa da V sin a

A: Integral

Q: e-* dædy by changing the limits of integration appropriately. y/2 20. Evaluate

A: To evaluate the value of double integral.

Q: Consider the following planes. 5x + 2y – z =22 X- 4y + 2z = 0 (a) Find the angle between the two…

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Q: Find the area (to three decimal places) bounded byf(x)=x^2e^x and q(x)=4-x^2

A: Given problem:- Find the area (to three decimal places) bounded byf(x)=x2 ex and q(x)=4-x2

Q: Consider the equation y" + ay' + by = f(x) the constants a and b are real and different from zero,…

A: The given problem is solved below in detail.

Q: What are the characteristics of the graph of the tangent function?

A: What are the characteristics of graph of tangent function

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: If g(x) J.J S. 1 -dt , find g'(2).

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Q: Which of the following theorems establishes a relationship between differentiation and integration O…

A: We have to find out relation

Q: ICLO-1) Three players (Ady, Brenden, and Cara) are sharing a pie that is worth $15. Suppose that the…

A: This is a problem related to percentage. Based on the general formula and concepts we will answer…

Q: Determine which inverse trigonometric function g has the derivative g'(x) (Use symbolic notation and…

A: Given g'(x)=1x2+1 Integrating on both sides, we have ∫g'(x) dx=∫1x2+1 dx

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: This is a problem related to derivative of the function. Derivative of the distance function give…

Q: Find the linear approximation at x = 0 to each of f(x) (x + 1)?, g(x) = 1+ sin(2x) and h(x)= e2*.…

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Q: В. 5. We let y(t) be the position function. What is the position function? A. p(t) = - 16t2 - 100 t…

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Q: dz (е) dz

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