3. About the y-axis УА 1 y = 9 y=x³+1

Q: Find the area between the curves y = f(x) = x³ - 3x and y = g(x)=x√4-x² +x_ on the interval 0 ≤ x ≤…

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Q: 4 3 3x(x + 6)² = x²(6)(x + 6)³ (x + 6) ²

A: Given query is to simplify the expression.

Q: f(x)=-4x-2; reflection in the x-axis ANS. f(x)=|x+4|; horizontal shrink by a factor of (1)/(3

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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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: An mxn lower triangular matrix is one whose entries above the main diagonal are 0's (as in Exercise…

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Q: Find the mass and the center of mass of the triangle with vertices (0, 0), (0, 3) and (2,0) assuming…

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Q: 11. Find the maximum and minimum values of the function f(x, y) = 3x + y - 4 on the curve ² + 2y² =…

A: To find the maximum and minimum values of the function. fx, y=3x+y-4 on the curve x2+2y2=38.

Q: 2 [ (31² - 4t + 7) dt Find the answer of the given integration

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Q: B: Find Inverse Laplace Transformer for the following function:- 3s3-s²-3s + 2 F(s) = s² (S-1)² 5

A: According to question,Given function,Fs = 3s3-s2-3s+2s2s-12

Q: When a particle is located a distance x meter from the origin, a force of ƒ(x) = 3x² + 4x-newtons…

A: When a particle is located at distance x meter from the origin, a force of  fx=3x2+4x newtons acts…

Q: Consider the following. u =(4,-1,0) v = (-4, 7, 0) Find u x v. Determine if u x v is orthogonal to…

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Q: Suppose f(x) is a continuous function. Then a function F(x) such that F(x) = f(x) is called: A) the…

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Q: 5.. Decompose the expression 1 (x² + 5)² (x−1) into partial fractions. Start by explicitly stating…

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Q: The body mass of a certain type of sheep can be estimated by M(t) where M(t) is measured in…

A: Given: m(t) = 26.4+0.4t - 0.001t2 where M(t) is measured in kilograms and t is days since May 25.…

Q: Differentiate the function. -3 f(x) = f'(x)=[ 3x +2 2x-4

A: To differentiate the following. fx=3x+22x-4-3

Q: Find the horizontal asymptote of the function. Give your answer as an equation of a line. If an…

A: Given function:- y=6x3+35x2-24x-5

Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = -2 at x = 1…

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Q: The top and bottom margins of a poster are each 2 cm and the side margins are each 6 cm. If the area…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)= x³…

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Q: f(x) = √2x + 4, then f'(x) f'(2) ||

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Q: K Solve the logarithmic equation. X= 1 - log 36 6 =X (Simplify your answer. Type an integer or a…

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Q: 15. g(0) = sin² 0

A: Given query is to find the critical number.

Q: Consider the following function. P-3 p² + 3 Find the derivative of the function. h'(p) = Find the…

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Q: f"(x) = 8x - 5 and f'(0) = 4 and f(0) = 3. Find f'(x)= = and find f(1) 4x² - 5x+4 -32 =

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Q: Use a graphing utility to graph the polar equation. inner loop of r = 10 - 15 sin(0) Find the area…

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Q: 4 2 find all of the critical points of z = =+ = -xy. Identify each Y local minimum, maximum, ora…

A: Partial derivative of any function refers to its derivative with respect a particular variable. For…

Q: Given an ellipse has foci at (7,-2) and (7,-8) and the endpoints of the minor axis are at (11,-5)…

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Q: 11) The velocity of a particle moving along the x-axis is given by v(t)=-² + 2t + 4 for 0 st s 5.…

A: Given, the velocity of a particle moving along the x axis as, v(t)=-t2+2t+4  for  0≤t≤5 to find the…

Q: f+lc 2. A conical oil tank with vertex down has a radius of 24 feet at the top and is 36 feet high.…

A: Given: The radius of the oil tank =24 feet.Height of the oil tank=18 feet3.

Q: Find the cross product of the unit vectors. jxi -k X Sketch your result. k t -k O k 't

A: Given that , j×i find the cross product.

Q: 3 ITT Convert the integral π/4 5) (xy + z) dz dx dy into an integral in cylindrical coordinates. csc…

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Q: For the function below, determine each of the following. g(x) = 5x8 + 40x7 + 17 (a) Find the…

A: Here we have to use the concept of derivatives

Q: dy 3. Use logarithmic differentiation to find dx for y = COS ex xcos x x² + 1

A: Given query is to find the derivative.

Q: Consider a price-demand model for tickets to see a specific hockey team play. The price p of a…

A: Given cost function C( q ) = 54q + 50000demand function p = 148-0.01q

Q: Determine whether the sequence is increasing, decreasing, or not monotonic. an = 7n + 1 n O…

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Q: Find the maximum value of the function f(x,y)=4-x² - y², subject to y - 2x = 1. Argue that a minimum…

A: Given that , fx,y=4-x2-y2 subject to y-2x=1⇒gx,y=y-2x-1 find the maximum value of given function.

Q: 10. (9x² + y - 1) - (4y - x) y' = 0, y(1) = 0

A: We need to find out that the given differential equation is exact or not and if exact then need to…

Q: Determine whether the sequence is increasing, decreasing, or not monotonic 3n - 4 4n+ 5 an O…

A: Given expression an = 3n-44n+5

Q: Determine the intervals on which the given function is concave up or down and find the f(x)…

A: To solve the following problem.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: This is a problem related to sequence and series. Please follow the procedure given below.

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

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Q: The graph of y=x² + 1 is shown below (not drawn to scale). P (a) If a = 50, find the coordinates of…

A: The graph of y=x2+1 is given as ,

Q: Find the minimum and maximum values of the function y=-3x² + 2x - 4 on the interval [-1,4] by…

A: Given that function is y=-3x2+2x-4 on the interval -1,4. It is required to find the maximum and…

Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Solution:

Q: Find the indicated maximum or minimum value of f subject to the given constraint. Minimum: f(x,y) =…

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Q: You can use the "Snip and Sketch" tool to draw the answer choices over the scatter plot to help you…

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Q: We recall that a point P on a curve y = g(x) is called an inflection point if g continuous there and…

A: The given function is: gx=160+8x3+x4  Find the inflection point.

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: Calculate y() (0) for 0 ≤ k ≤ 5, where y = 4x² + ax³ + bx² + cx + d (with a,b,c,d the constants) y…

A: Given:- y=4x4+ax3+bx2+cx+d