Q: Precalculus Question (7)
A: The answers are as follows: 3. a. The complex conjugate of 1-2i is 1+2i. b. The complex conjugate of…
Q: 1. Identify each of the following functions as, Linear, Quadratic, Cubic, Power, Rational, or as a…
A: d) f(x)=x5e) f(x)= x3(x-2)(x+3)f) f(x)=x3
Q: Find all local extrema using the second derivative test. Show all work for full credit. Make sure to…
A: Here two functions are given.Need to find all the extrema using second derivative test.
Q: 2. A spring is 10 cm long when not stretched. If it takes 120 N to stretch it from its resting…
A: Step 1:Step 2:
Q: - 2x2. If sales are increasing at A company's revenue from selling a units of an item is given as R…
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Q: Let f(x)=2x² - 2x and g(x)=3x-1 Find g[f(-2)]. g[f(-2)] =
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Q: i think this is incorrect can u try agian
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Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 3…
A: The objective of this question is to evaluate the definite integral of the function (x^2 - 4x + 8)…
Q: An 8-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. Find the length of the…
A: GivenLength of fence, DE=8ftDistance of fence from the wall BD=22ftLet length of the ladder L…
Q: Choose the integral that represents the area of the shaded region.
A: Since you have posted multiple question in this question which are not interlinked so i have solved…
Q: (If an answer does not exist, enter DNE.) (2,30) 20- 20 |(2,5) (9,9)
A: graph of f(x) is given
Q: 3 Let f'(x) = (x − 1)² (x + 2)(x+4)³. For what value(s) of x does f(x) have a local maximum? Input…
A: The objective of this question is to find the x-value(s) at which the function f(x) has a local…
Q: (6) Find дл ду : ye+sin(2)=423 (8 points)
A: Explanation is given below:Explanation:
Q: use the trig identity tan2 θ + 1 = sec2 θ to solve. work should be clearly presented and well…
A: Given: ∫04πsec3(θ)tan3(θ)dθFirst, we need to seperate one exponent from tan3(θ), we…
Q: Consider the function f(x)=x³. (a) Find f(a + h). (b) Find f(a + h) -f(a) h (c) Find the…
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Q: f'(0) = Let f(x)=7e+2 + e¹.
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Q: A ball is thrown vertically upward from a height of 7 feet with an initial velocity of 70feet per…
A: Given values:ho = 7 ft.u = 70 ft./s Solution:We know, highest distance travelled from initial height…
Q: Use the product rule to find the derivative. y = (3x2 + 4)(3x-4) II dx
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Q: A tank shown below has vertical ends in the shape of isosceles triangles. Its dimensions are given…
A: Step 1:Step 2: Step 3: Step 4:
Q: 3. √9-x2 dx (hint: sin x = S dx (hint: sinx = (sin²x)(sin²x)) x4
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Q: Consider the following. u = (2,-1), v = (4, 1) (a) Find u . v. U⚫v= (b) Find the angle between u and…
A: Step 1: Given vectors are;u= <2,−1> and <4,1>∴u=2i^−j^ and v=4i^+j^ Step 2:…
Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…
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Q: When pineapple juice is left standing, it settles so that it thickens toward the bottom. Suppose a…
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Q: If 2300 square centimeters of material is available to make a box with a square base and an open…
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Q: solve the non-homogenous equation y” – 2y’ = t + e^t
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Q: Graph the curve manually. Indicate the positive orientation. r(t)=6cos(t) i + 4sin(t) j -2k for…
A: First of all, express the curve in Cartesian form.
Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450…
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Q: I need help on question 5.
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Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C…
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Q: Consider the triangular lamina region in the first quadrant of the xy-plane with vertices at (0, 0),…
A: Step 1: Step 2: Step 3: Step 4:
Q: Find a power series for the function, centered at c. 1 f(x) = C = 0 1-7x'
A: f(x)=11−7x,c=0Power series of 11−x is given as:11−x=∑n=0∞xn
Q: Calculate the average rate of change of the given function over the given interval. Where…
A: The objective of this question is to find the average rate of change of the function f(x) = x^2 - 3…
Q: Find all the second order partial derivatives of the given function. 6) f(x, y) = x² + y = ex+y -
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Q: Express as an integral using spherical coordinates, then evaluate to find volume V for the region.
A: We need to find valoume of the given solid.
Q: R 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9 ≤ x² + y² ≤ 25 by…
A: The objective of this question is to evaluate the double integral of the function (x² + y²) over a…
Q: A baseball team plays in a stadium that holds 46000 spectators. With the ticket price at $10 the…
A: Given points: (10, 19000) and (9, 23000)Calculate slope m: (23000−19000)/9-10=−4000Use slope m and…
Q: dw Use the chain rule to find dt
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Q: Sketch the solid whose volume is given by the iterated integral. 1 (7-x- - 3y)dx dy 10 Describe your…
A: The given integral
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A: The objective of this question is to determine which pairs of vectors are perpendicular. In vector…
Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor serie f(x) =…
A: By using the definition of Taylor series to find the first three nonzero termsof the Taylor series.
Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…
A: The given equation is and point
Q: Find the curvature of the curve (t) = = (3 cos(2t), 3 sin(2t), 3t) at the point t = 0 Give your…
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Q: Consider the function f(x)=10 root x +10 on the interval [2,5]. Find the average or mean slope of…
A: Therefore, the required answers are a) The average slope is m=310(5−2)=2.739514717088982158b)…
Q: Find an equation of the line tangent to the graph of f(x)=(5x+4) (6x-5) at the point (1,9). The…
A: The given function equation is
Q: JUST WRITE THE INTEGRAL that is required to find the area of the region bounded by the graphs of the…
A: The curve y=4−x2 is a circle with radius 2 Squaring it, we get x2+y2=4The lines x=0 is the y-axis…
Q: Let f'(x) = x² + 4x³ + 2x² + 12x+1 a. For what values of x is f(x) concave up? (Blank 1) b. For what…
A: The objective of this question is to find the intervals of x for which the function f(x) is concave…
Q: Find the derivative of the function. 3 In 2x y= 4+5x dy | dx ||
A: Step 1:
Q: Use the quotient rule to find the derivative of the function. y= 3x+1 8x+7 What is the correct way…
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Q: Find the derivative of the function. g(x)= 3 X-8 (4x+17)(3x-7) g'(x) = ☐
A: To find the derivative of the following function.
Q: Use algebra and the properties of limits as needed to find the given limit. If the limit does not…
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- YOUR TURN Suppose x are y are both functions of t and x3+2xy+y2=1. If x=1, y=2, and dxdt=6, then find dydt.Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be described by the differential equation dPdR=4DRP2 where D is the density of the plants in an area. Source: Ecology. Given the initial condition P(0)=1, find a formula for P in term of R.