Suppose dx dy 3(2x-3) and y(1) = 3. What is y(3)? O 12.973 O 13.973 O 15.136 O 15.973

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Solving

Q: Evaluate the indefinite integral. Sa V1 – x? daæ - cos° 0 – cos' 0 +C } (1 – a²)%/2 – }(1 – 2²)/² +…

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Q: . Let f(x) = x'6/3 – 19x337. Determine the largest n for which f € C" (n-times continuously…

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Q: Consider the function y= ¿x³ – a. Sketch the graph of y= -x³ - 9x + 4. b. Find and describe the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Determine whether the following statement is true or false. If y = f(u)and u = g(x), then = f'(x) ·…

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Q: The volume V of a right circular cone of radius r and height h is given by V =r?h. %3D (a) Find a…

A: Given the volume V of a right circular cone of radius r and height h is V=13πr2h.

Q: 1. Find the maximum value of r+y subject to the constraint r + y? = 18.

A: The maximum value of x+y subject to the constraint x2+y2=18

Q: Find a number whose difference from its square root is least

A: Explanation of the answer is as follows

Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: Follow the procedure given below.

Q: dy Suppose 2e-2r and y(1) = 4. dx What is y(2)? O 3.117 O 3.567 O 4.117 O 4.135

A:

Q: I. Evaluate V4x2+ 4x + 5dx]

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Q: 18+21x-x2 Resolve into partial fractions (x-5)(x+2)²

A: Solving the problem by finding the expression as defraction.

Q: 144y + 864y - 25a? - 50x = 2329 %3D

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -54 -36

A: In this question we have to find integration by using triple integration.

Q: Find an equation for an ellipse with foci (+12,0) and vertices at (±13,0).

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Q: Find the volume of the pyramid with base in the plane z = and sides formed by the three planes y -9…

A: To solve the following problem

Q: If the ideal gas law (PV=kT) is used to find P when T and V are given, but there is an error of 0.3%…

A: PV = kT   P = kTV                                               1…

Q: Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1) You…

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Q: d d Calculate ri(t) · r2(t)] and [r1(t) × r2(t)] first by differentiating dt dt the product directly…

A: We have to find derivative

Q: The Maclaurin series for cos x is Eo (-1)"; What is the n%3D= (2n)! coefficient of the term forx*?…

A:

Q: A. Direction: Find the equation of the tangent line of the following functions at the specified…

A: As per our guideline we supposed to answer only first question with  3 subparts slope of the tangent…

Q: What is the derivative of 3x+5?

A:

Q: dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx xy-3x-8=…

A:

Q: Write the general equation for the circle that passes through the points: (0, 0) (6, 0) (0, - 8) You…

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Q: 1. The rodius of a circle is 9 centimeters. What is the area?

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Q: Find the extremum of z =x + y' subject to x + 5y = 4. Set up the Bordered Hessian matrix determine…

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Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: 3. Supply the missing integrand and limits of integration. 61y drdy fip (b) 62y dydz =- dr

A: Solve it.

Q: Use Implicit Differentiation to find dy/dx where 2xy + x = 1 1-2y a. y' = 2x -3-2y b. y': 2x -1-2y O…

A:

Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

A:

Q: t dt. Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) =|…

A: f(x)=∫3xt7dtf'(x)=ddx∫3xt7dtBy fundamental theorem of integral calculusf'(x)=x7

Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: Question 3 of 10 u(x) = (tan? x – x²)³ Select the correct response. 3(2 sec a tan x - 2.r)(tan? x-…

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Q: 6 Write the equation in general conic form of the circle with center (2, 3) and r = 7 x 2 + y 2 -…

A: To write the equation of circle with the given center and radius.

Q: Use your calculator to estimate the arc length of y = x“ over the interval [1, 2]. -5 (2, 4) (1, 1)…

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Q: -4 tan-(x) dx 1 Find (x + 1)2

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Q: graph of (x- 1) + (y - 4)2 = 1 is shown on the right. Use implicit differentiation to find the…

A: Given query is to find the slope of the tangent at x = 1.8

Q: 3. Using the graphs of the functions f and g below, determine the following. If infinite, specify ∞…

A:

Q: Use f(x) = 4x - 5 and g(x) = 3 - x to evaluate the expression. (a) f(g(0))= (b) g(f(0))=

A: Given query is to find the value of indicated function.

Q: 2.x h(x) = 5x3 + 6 Select the correct response: 8.x3 15x2 +6 10x + 48x (5r + 6)2 10. + 6x® 5x3 + 6…

A:

Q: We have 1 d (In(x² + 1)) : dx x2 + 1 Select one: O True O False

A: As we know that; The Chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxlnx=1x   Given;…

Q: . A cylindrical tank full of water has a radius 2 ft and a height of 6 ft. Find the work m pumping…

A: Work = force × distance Force = weight

Q: A. Solve for the integrals of the following: 3 - dx b) 2+ 3x ST a) dx c) 1+ 2x2 e2a + 1 3

A:

Q: b. = log(a + b) a If log + log- %3D a then we can conclude that O a. a-b-1 O b. a?-b2 =1 O C. a+b=1…

A:

Q: Question 6 of 10 n(x) = csc°(;w) Select the correct response: csc(-a) + cot(x) CSC - 1 sece'(승)…

A:

Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: Consider the differential equation y" – 11y" + 28y' = 0 Write the auxiliary equation of the given…

A: Given a higher order differential equation.

Q: Identify the conic section -3x? – 12x - 5y = 37 Parabola Ellipse O Hyperbola What are the…

A: Given:         Conic section -3x2-12x-5y=37 This is in the form of standard equation 4py-k=x-h2…

Q: Find and sketch the domain for the function. f(x.y) = In (x? + y? - 4)

A: We can solve this as follows:

Q: Let ü = and v =. If üxi = then determine the value of 3A+B+C. Yanıt:

A: