circle rose inner loop

Q: lim (5x + х+ 3,

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Q: Solve the initial value problem.   (ds/dt) = 8sin^2(t+(π/12))​, ​s(0)=5

A: In order to solve this we need to integrate it and then we can find constant by putting t=0

Q: If f(x, y) = cos (xy) – 7y, then fx(0, x) = 0. %3D Select one: True O False

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: A manufacturer determines that the cost in dollars for making "x" calculoodles is C(x) = 1800 + 25x…

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Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

Q: 3. Solve r"(t) = subject to the initial conditions: r(0) = and r'(0) =

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Q: Find the exact area of the surface obtained by rotating the curve y=÷x², 0<x<12, about the y-axis.…

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Q: 1. Find the gradicnt of the following functions (here, i = V-1, and A is a constant) (a) f (x) = 3x.…

A: The objective is to find the gradient.

Q: a)Find the exact length L of the curve 3y? = (4x – 3)°, 1 0. Answer: b) Evaluate Sxe*dx Answer: 1 c)…

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Q: Find the derivative of the following using First Principle. 4) y = -2x2 + 3x – 12 5) f(x) = x2 + 15x…

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Q: A supermarket manager estimates that a total of 400 cases of soup will be sold at a steady rate…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: s) Let f(x) = 6x2 - 8x4 Find the open intervals on which f is increasing (decreasing). Then…

A: Given

Q: val [1,5].

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Q: Find the absolute makimum/minimum values of the function fCx)= x6-x) over the intenval 1Ex<5

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Q: One and only one of the following functions is injective. Which one? Select one: a. f : R → R,ƒ(x) =…

A: Concept: A function y=f(x) said to be injective if there is different output for every input in it…

Q: A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off…

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Q: Given the surface x²y + y° z+ z?x = 38. Find the normal line and the tangent plane to the given…

A: A detailed solution is given below.

Q: 2. Let f(x) = V4 – x for x < 4 and g(x) = x² for all x E R. (a) Give the domain of f g, ƒ + g, ƒ o…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Which of the following is the inverse of the functionf : [0, ∞) → [3, 0), f(x) = 2.x² + 3? Select…

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Q: For each of the following vector fields F, decide whether it is conservative or not by computing the…

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Q: a²f If f(x, y) = xey + 8xy, then , is given by: O + 8 O 4xe4y + 8 ○ 웃+8 O 4e4y + 8 O None of these…

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Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, -2, 1, 5} }…

A: We can find the range and graph the polynomial as below.

Q: List the domain and the x- and y-intercepts of the following function. Graph the function. Be sure…

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Q: To save for graduate school, a student invests $1780 semiannually in an ordinary annuity with 7%…

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Q: er the function f(x) = 2x° + 21 36x + 4. For this function there - - ree important open intervals: (…

A: We will find the first derivative.

Q: Calculus the producer surplus for the supply function p(x) = 3+0.01x at the sales level X = 10. Show…

A: Here we have to calculus the producers surplus for the supply function p(x)=3+0.01x2 at the sales…

Q: 8, -4, 2..... the next terms in the GP shown is

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Q: 3. y = tan (3x)cot (3x)

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Q: A small radio transmitter broadcasts in a 53 mile radius. If you drive along a straight line from a…

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Q: Determine the domain of the function. S(x) = In (36 – x²) (Give your answer as an interval in the…

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Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, –2, 1, 5}…

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Q: find the tangent to the curve f(x)e%*-2% at X=-1. Express answer exactly in terms of e (not a…

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Q: rdinates -6, 3,

A: Please refer to the image below

Q: dy + y = y² sin x dx

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Q: a) Approximate the area under graph (a) of f(x) = 3/x over the interval [2,10] by computing the area…

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Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 - 0.01x +0.000006x² (in…

A: Given

Q: 3 dx a) 3- x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: An individual is given a dose of Q units of a certain drug. the amount that remains in the…

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Q: I In Problems 27-34, find the interval of convergence. x" 27. 2 Σ (х - 3)" 28. 3n n=0 n=2

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Q: 2 Find x so that log10 x = log, 10

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Q: x°e3» dx (Repeated Integration by Parts)

A: Find your answer below

Q: Evaluate the following limit: 4x2 – 4y? tan(4x4 + 4y4) 8x4 + 8y* - lim (2,y)→(0,0) 1 2 4 The limit…

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Q: use the properties of the natural logarithm to: A. expand the logarithmic expression: ln (2x/x+2)…

A: A) ln2xx+2B) 5 lnx-7 lny-8 lnz

Q: U. sine= and <e< 2n -24 25 sin을 =D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. ind the length of an arc of the cycloid given by, x = a(0 + sin0), y = a(1 + cos0), Ar

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Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

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Q: Use seperation of variable to solve the following differential equation (DE): (11 + x) dy – y dx = 0…

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Q: x³3-* dx -x³3-*In (3) + 3x² 3¬× ln²(3) – 6x 3¬×ln³ (3) + 6 3¬× In*(3) + C A B -x³3¯* ln(3) + 3x² 3¯*…

A: Let's find.