What are the rectangular coordinates of the point whose spherical coordinates are (1,,)? x = 0 y = z = 6 √3

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Given query is to find the attached population after 15 years.

Q: [CLO-2] Find the derivative of f (x) = x −x5 e 2x + 3 1-5x4 x-x5 x-5x5 2/x −x5 1-5x4 Vx-x5 −5x4…

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Q: (CLO-1, CLO-2) Find xe = sin(xy) - ex xe − x cos(xy) e xe − x cos(xy) y sin (xy) - e xe – x cos(xy)…

A: Given;  xey=sin(xy).

Q: his question is designed to be answered without a calculator. = f(x) = 1-2e-x, then f has horizontal…

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Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to find all values…

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Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (3,4) b. (0,3)

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Q: s-1 s(s+ 1)² -1+et+2te-t 2+te-t-e-t O Option 1 Option 3 1+et-2te-t Option 2 -2+tet + et O Option 4

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Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e5xy = sin…

A: Given query is to find the derivative of the expression.

Q: Q3/Find the value of x If the approximation of the integral ſ f(x) dx by trapezoidal method is given…

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Q: Find the equation for the plane through the points Po(1,4,-3), Qo (5,5, -1), and Ro(-2,4,-5 The…

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Q: O f(3x² + sec² 2x) dx

A: Given query is to find integral.

Q: How many combinations can be made from ♣, ♠, ♦, and ♥ if taken a) four at a time? b) three at a…

A: solution:-♣, ♠, ♦, and ♥  are four different itemswe know that  combination is the selection of…

Q: Find the gradient of the function g(x,y) = xy² at the point (3, -1). Then sketch the gradient…

A: Given:        Function gx,y=xy2   The gradient of function                  ∇gx,y=gx,gy   Taking…

Q: A drag racer accelerates at a(t) = 96 ft/s2. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A: To find out the distance/position function.

Q: {CLO-2} Find all vertical asymptotes of f(x). 4x f(x) = 4-x² Determine whether f(x)→∞ or f(x)→→∞ on…

A: Let's find given function asymptotes.

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A: As per guideline we can answer only one question, Please repost other question.

Q: Given the function below f(x) = √-324x³ + 1053 Find the equation of the tangent line to the graph of…

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Q: A Moving to another question will save this response. Question 11 {CLO-1} Find the values of a and b…

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Q: Find values of x and y such that  fx(x, y) = 0 and fy(x, y) = 0  simultaneously. f(x, y) = 7x3 −…

A: This question is based on Partial differentiation.

Q: (a) Using the power series representation of 1 1 + x find a power series representation of In(1 + x)

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Q: 10 5-2 sin 8 a. find the eccentricity and identify the type of conic; b. write an equation of the…

A: This is a problem related to polar function. Based on the general formula and concept we will answer…

Q: Evaluate the following integrals. 0 (Cartesian to Polar) Civen the cartesian coordinate, find FOUR…

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Q: Evaluate (ƒ¯¹) '(2) for the function 3 2 f(x) = √√√x³ + x² + x + 1. Explain your reasoning and write…

A: The given function is  f(x)=x3+x2+x+1

Q: In(x²y)- ez-tan"¹ z. Assuming that z is a differentiable function of x and y. Let F(x,y,z) Find F.…

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Q: The population of a small city is 374,000. If the population grows at a rate of 2.1% per year, what…

A: Given query is to find the population after 25 years.

Q: Compute the center of mass/ centroid of the region R = {(x, y): 1≤x≤3, 0≤ y ≤ x²

A: Here we have to find the centre of mass of a region.

Q: Given the price-demand and price-supply equations below, determine the equilibrium price and find…

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Q: Numbers 7,8,9 please

A: We have to find the value of ?.

Q: 1 = and find x 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let…

A: This is a problem related to derivative of the function. Based on the general formula of linear…

Q: Given f''(x) = 9x + 5 and f'(-3)=-3 and f(-3) = 6. Find f'(x) = and find f(2)

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Q: This question is designed to be answered without a calculator. Let f be a function such that lim…

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Q: If à = 3ai +4j-k and B = 4i+j−3k, find the value of a if A normal to B.

A: Given vectors A→=3ai+4j-k and B→=4i+j-3k

Q: Given cost and price (demand) functions C(q) = 130q+46,300 and p(q) = -2.6q+890, what price should…

A: Given problem:- Given cost and price (demand) functions C(q) = 130q + 46, 300 and p(q) = - 2.6q +…

Q: .

A: Please refer to the image below

Q: Find the value of the following implicit derivative tan y-sec x=5 find...y'

A: Given problem :- Find the value of the following implicit derivative   tan(y)-sec(x) = 5 find   y'

Q: Solve the following differential equation on the interval (0, ∞) (in other words, dy y² = x² + y² dx…

A: Solution of given question is written in below steps.

Q: s 1 s(s+ 1)² -1 +et+2te-t Option 1 2+te-t Option 3 - 1 + e-t2te-t Option 2 -2+te+e-t Option 4

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Q: Solve the differential equation y"" + y = 3x² + sin x - 2 cos x

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Q: Əw at = xysin(z2), x= s-t, y=s2, z t². Use the Chain Rule to find .

A: We know that derivatives of d(xn)/dx = nxn-1. And d(sinx)/dx = cosx  Here i attached the solution of…

Q: Evaluate the following integrals: O • (Cartesian to Polar) Civen the cartesian coordinate, find of…

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Q: 4x²8x + 5 on the interval [0, 5] by comparing values at the Find the minimum and maximum values of…

A: topic- application of derivatives

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed…

A: Solution: f(x,y)=2x2-4x+y2-4y+6 the vertices of the triangle by joining the given lines are (0,0)…

Q: c) 1/2 1 1-x² dx

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: A particle moves along the path whose parametric equation are x = t³ and y = 12t2. What is the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: x-1 x-1+√√2x-x²-1 Evaluate lim

A: Please refer to the image below

Q: dy dt t •S 0 +5 ydt + 2y = 10

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Q: Find the particular solution (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1 What is the particular…

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Q: The general solution of y" + y = sec x tan x

A: Given problem:- The general solution of y" + y = sec x tan x

Q: Consider the following function, f(x) = x³, 3 a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate

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