Use a tangent plane to approximate the value of the following function at the point (-4.9,-2.1). Give your answer accurate to 4 decimal places. f(x, y) = √38x²

Q: Consider the following. x = ln(t), y = 5√t, t≥1 (a) Eliminate the parameter to find a Cartesian…

A: graph

Q: dx 2.) √ 8²x+1 €2x+1

A:

Q: Use the Ratio Test to determine the radius of convergence of 00 xn Σ Vn 5 . n=1 Then determine…

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Q: Σ27(x – - 1)³n+2 n=0 (Use symbolic notation and fractions where needed. Give your answers as…

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Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

A: Given: Let A=1010-1101-10010-101

Q: Write the sum using sigma notation: 1 + + +...+ Σ 1 + 109-110 = ₁ B, where 2-3 1-2 A = B = 1 3-4

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =…

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Q: 8. The half-life of caffeine (how long it takes for the amount of caffeine in your system to cut in…

A:

Q: The elasticity of demand for  x = f(p) = 1,875 - p2 when p = 40 is:   A. elastic B. unit C.…

A: Here we have to check the elasticity.

Q: Find a first order system corresponding to the scalar equation and find its vector form and general…

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Q: 4. A weather balloon is rising vertically. After 1 hours, its distance above the ground, measured in…

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Q: 2x²+2x+3 Consider the function y= 4x²-4x (a) To use a limit and find its horizontal asymptote what…

A: We have to find out the horizontal asymptote by the use of limits.

Q: Find the Tim X 70 XttanX Sin X limit.

A: We have limx→0x+tanxsinx L'hospital Rule for limx→afxgx=limx→af'xg'x if its 00, ∞∞ etc forms

Q: The slope of the tangent line of the curve defined implictly by x² - y = 4ey at the point (2,0) is m…

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: 5. Find the equation of the tangent line to the graph f(x)=(9-x²) at the point (1,4). Use a graphing…

A: Given: f(x)=(9-x2)23 at the point (1, 4)

Q: 1 Evaluate the following definite integral. √51² (i) cos x sinx dx; (ii) [₁ xv1+r² dr. VT

A: (1)  (i) G=∫0π2cosxsin4xdx∫xndx=xn+1n+1+c

Q: A function is given. f(t) == /₁ (a) Determine the net change between the given values of the…

A: Here is the solution:

Q: What point on the parabola y = 1 - x^2 is closest to the point (1,

A: we will find the required.

Q: A rectangular field is on Sides and throo side. Find the that area can dimensions by of be enclosed…

A:

Q: Suppose that a function f is analytic on the interval (1, 10). Suppose that another function g is…

A: Given  Suppose that a function f is analytic on the interval (1, 10). Suppose that another function…

Q: The elasticity of demand for x = f(p) = 1,875 - p² when p = 40 is Banco de palabras: inelastic…

A: we will find the required.

Q: Find the critical point of the function: f(x, y) = -1- 6x-2x² - 5y + 3y² (x,y)= This critical point…

A: f(x,y)=-1-6x-2x2-5y+3y2for critical points put ∂f∂x=0∂f∂y=0∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0

Q: Answer 1. The position function of an object is given by s(t) = t³ - 15t² +63t, where time, t, is in…

A: We have given position of the object  st=t3-15t2+63t Velocity is given as  vt=s't=ddtst vt…

Q: A sports company has the following production function for a certain product, where p is the number…

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Q: If B = exp(r² -2), what is VxB?

A:

Q: Let x be a number. Translate the English phrase into a mathematical expression. 13) The total of -78…

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Q: Let P = f(t) represent the US population in millions in year t. (a) What does the statement f(2005)…

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Q: Find the differential of the function f(x, y) = −2x² + 5xy + 4y² at the point (5, 1) using Ax = 0.25…

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Q: f(−3)=10f(−3)=10 and g(−3)=−2g(−3)=−2 Step 1 of 4 :   Find (f+g)(−3)(f+g)(−3).

A:

Q: True or false

A: Let us consider the given statements.

Q: Consider the curve defined by the equation xy=21. Set up an integral to find the length of curve…

A: given  xy=21formula for length of curve L=∫x1x21+(dydx)2dx

Q: or the function f(x) = x² − 6x³ + 1, find the points of inflection.

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Q: Find the Fourier series for the following. f(t) = |2t| -π<t<π

A: We need to find the fourier Series of function f(t)= 2t on the interval -π&lt;t&lt;π

Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(−1) = −2, find ƒ'(-1). f'(-1) = 0

A: Given46+3f(x)+5x2f(x)3=0f-1=-2   We are required to findf'(-1)

Q: a. 1 sin + cos 0

A:

Q: If ƒ (x) +x5(ƒ (x) )² = 34 and f(1) = 2, then f'(1) =

A: Derivative

Q: f(x) = 13 X

A: We need to find out the derivative of the given function.

Q: Which of the following is equivalent to 3x²(-2x)e-x² + e-x²16x O -16xe-x²(x² - 1) O 16xe-x²(x² + 1)…

A: Given query is to simplify the expression.

Q: Express the surface area of the surface obtained by rotating the graph of y = 5 sin (x) for not…

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Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

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Q: Producers' Surplus The manufacturer of a brand of mattresses will make x hundred units available in…

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Q: A ball of radius 15 has a round hole of radius 8 drilled through its center. Find the volume of the…

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Q: QUESTION 4 A kindergartener made the following pattern with color tiles. RBYRBY... This is an…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the derivative of the function below. Use lower case letters. (Remember to simplify the…

A:

Q: Which of the following series converge? cos(mm) η n I. Σ 2 n+2 n=1 (A) None (B) II only (C) III…

A: 1.  series divergence test

Q: Use Newton's method with 3 iterations to estimate the solutions to arctan(x)=x^2 - 3 . Round your…

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Q: 8. f(x)=2x³-96x +42

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Q: 8. Find for y=√√4x (arcsin(x²+2x)) dx

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Q: The region R is the region in the first quadrant bounded by the curves y = x² - 4x + 4, x = 0, and x…

A: First find area under the curve y=x2-4x+4 on interval 0, 4.