zero is given. Chint: the other two zeros 6. For the polynomial Function, one Find all other zeros. are irrational) 3 2 P(x) = = x + 4x + 7x - - 28 3 one zero is 4

Q: The solution of the initial value problem y'= y^(2) − 1, y(0) = 2 is defined on the entire real…

A:

Q: Using the substitution u = x³ – 1, ƒ±₁ x² (x³ — 1)5 dx is equal to which of the following? O O 63 -2…

A: Let, Put

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 8-x², as shown…

A: The given parabola is .The aim is to find the largest area the rectangle.

Q: The general solution of the equation y''− 2y ' + y = 0 is given by y(x) = Cex . true or false ?

A: y''− 2y ' + y = 0

Q: I need a clear explanation about the radius function of the volume shell. In part a, the radius…

A: Note:-As per your demand we solve part a and b for radius of region.Given that the region is bounded…

Q: Find an equation for the tangent line to f(x) = xe²x at x = -1

A:

Q: If A = (11) 01 " then eat = et tet et (& 0

A:

Q: Some say I csc(x) dx = Ln|csc(x) – cot(x)| + C, while other say that [csc(x) dx = -Ln|csc(x) +…

A: The given integral is

Q: 35) Differentiate a) f(z) = (1-e²)(z + e²) b) f(t) = t³+3t t2-4t+3

A: The given functions,(a) (b) The objective is to find the derivative of each function.

Q: Identify the definite integral that computes the volume of the solid generated by revolving the…

A: Region is bounded by y=x3 and the line y=x, between x=0 and x=1Rotating the region about y-axis

Q: If h(a) = h(b), then what is the value of Answer: S. g(h(x))h'(x) dx

A:

Q: The union of two events E and F. denoted EUF, is the event consisting of all outcomes that are…

A:

Q: (c) C = 90°, c = 15, a = 3

A:

Q: If f(x) = cos(x)²x, find f'(π/4)

A: f(x)=cos(x)2x

Q: Of all rectangles with a perimeter of 25, which one has the maximum area? (Give the dimensions.

A: We can find the dimensions as below.

Q: What is the slope of the line tangent to the graph of y = B 11 4 13 دن در 4 12 x+3 at x = 1 ?

A: The slope of a tangent line to the curve y=f(x) at x=a is given bym=f'(a)

Q: A coin is tossed 9 times. What is the probability of getting heads exactly one time? Round your…

A:

Q: Determine the compromised areas between the given curves and lines. x = lny, y = 1, y = 4

A:

Q: Example 4c) find lim x-0 lim x→0 √x+1-1 lim =1-1 √x+1-1 1-1 0 0 X-0 X 0 Multiply top & bottom by the…

A:

Q: C(x) 1 Suppose that the total cost (in dollars) for a product is given by 1400 + 190 ln(2x + 1)…

A:

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 6. Find values for F(1) and F(7) 2 3 2…

A:

Q: Let g be the function given by g(x) = x² - 2x³ - 3x. What are all values of a such that g′ (x) =…

A: The given equation of function

Q: Compare the graphs of y=f(x) and y= f(2x): A) y=f(x) is reflected in the y-axis  B) y=f(x) is…

A: To compare the graphs of .

Q: 3. Determine whether a(x) and b(x) are inverses. 3√x²+4 a(x) = 9 b(x) = √27x3-2

A: a(x)=x2+439,b(x)=27x3−2

Q: What is lim h-0 sin (x + h) - sin(x) h A. 0 B. { 9 when x C. 3 R/6 ? D. -3

A:

Q: Solve the initial value problem and find y(1): yy' = xe¯²², y(0) = 1

A: Given equation:

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A: The graph of the function g is shown as,Let,f be the function defined by

Q: Let F(x) = f(g(x)). Find F¹ (2) using the following information f(-1) = -3, f'(-1) = 2, g(-1) = -7,…

A:

Q: Differentiate: s(t) = sec √r A. tan² Vi C. sec √i-tan vi B. D. sec √t-tan √1 2√1 csc √t √r

A: Given,

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A: We have been given -We have to find the expected value of the random variable X.

Q: A 680 foot rope anchors a hot air balloon. Express the angle(theta) as a function of the height(h)…

A: Consider

Q: 2 √₁²x²3x dx

A:

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A:

Q: Determine each feature of the graph of the given function. f(x) = - Answer Attempt 1 out of 2 Y =…

A: To determine the each of the feature of the graph of the following function.

Q: If f(x) = 2 - x / 5x , determine the equation of f^ -1(x) , the inverse of f(x).

A: Given, the functionWe determine the equation of .

Q: Let f³ f(x)dx = 12, f³² ƒ(x)dx = 3, få ƒ(x)dx = 4 ƒ² (2ƒ(x) — 1)dx Find

A:

Q: g(x)=2x-5+1 h(y) = 2-y

A: g(x)=2x−53+1h(y)=2−y

Q: 5. The graph of y = f(x) is shown below. The sketches of transformations of f(x) are given in the…

A:

Q: The cost of producing a units of stuffed alligator toys is C(x) = 0.003x² +10x+6000. Find the…

A: C(x)=0.003x2+10x+6000

Q: Find the eigenvalues and eigenvectors of the given matrix [ 1    0    0 ] [ -6   8    2 ] [ 12 -15…

A:

Q: Find the Maclaurin series for f(x) = e−²x. Hint: Maclaurin series for ex: x2 1+x+ + + + 2! 3! 4! O 1…

A:

Q: Let f be the function defined by f (x) = x³ = ³²x² A B (0) (D) -10 72 3 6. What is the absolute…

A:

Q: Dengue-fever viruses are carried by mosquitoes. There are several different serotypes of the dengue…

A: From the given statement

Q: X 1 2 3 4 5 y 12 -2 -3 -4 -5 -5 3 4 5 -4 -5 -5 -6 -6 -7 -8 -6-7-8-9-10 -8 -9 -10 -11 -12…

A: x∖y123451−2−3−4−5−62−4−5−6−7−83−6−7−8−9−104−8−9−10−11−125−10−11−12−13−14

Q: For every solution of the equation y' + 2xy = x it is true that limx→∞ y(x) = 1. true or false ?

A: y' + 2xy = x

Q: 29) Evaluate the limit, if it exists. If it does not exist enter DNE. cos (x) lim x-(1/2) + 1-sin(x)

A:

Q: 51. lim x³ = 1. x→1

A: To give an  proof for the following statement.

Q: Please solve the integral: sec(x)^2 tan(x) dx two different ways: By letting u=sec(x), and by…

A:

Q: Find the length of the spiral r=0², 0≤0s √5. The length of the spiral is. (Simplify your answer.)

A: Consider the curve

Q: Write the first five terms of the sequence with the given nth term. an = 6n а1 а2 аз ад a5 = = = = =…

A: The given nth term of sequence