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Q: On which intervals is the function f(x)=-2x^(3) +3x^(2) +36x+4 increasing? Do not draw a graph.
A: The objective of the question is determine the interval in which the given function is increasing.
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A: Here we have to state whether the statement is true or false.
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Q: Write the following expression as one integral. 5 7 5 I from S₁ •Sf(x) dx - - f(x) dx + - f(x) dx -7…
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Q: Evaluate the definite integral 8 6x² +6 -dx
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Q: •y+1 Q5. Evaluate S₂ S¹¹ xy dx dy. -2 Jy²
A: Topic = Integration
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Q: Completing the square involves changing a quadratic equation from standard form into which one of…
A: Explanation of the answer is as follows
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A: Given figure with areas Now V=∫010f(x)dxV=∫03f(x)dx+∫35f(x)dx+∫57f(x)dx+∫710f(x)dx
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Q: S (2x² + 1) dx x3 - 3x +2
A: ∫2x2+1x3-3x+2dx This can be written as ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx
Q: 1. Write and then solve for y = f(x) the differential equation for the statement: "The rate of…
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Q: The value of 1 Submit Question da is
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Q: (a) Find the critical numbers of the function f(x) = x(x - 2)5. X= (smallest value) X= X= (largest…
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Q: Find the value of the given limit. lim I 0 tan(4x) I
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Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.
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Q: ● ftans (x) sec (x) dx M
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
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Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…
A: Here we will find the definite integral,
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A: Extreme points of the function fx, y=2x3 + 2y3 - 9x2 +3y2 - 12y
Q: fin(x² + 1)dx (Ans: xln(x² +1)−2x + 2 tan¯¹ x + C)
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Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 5t, where 0 ≤ t ≤ 1.5…
A: The answer as follows:
Q: Let f(x) = 4x + 7 – 17e². Then the equation of the tangent line to the graph of f (0, -10) is given…
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Q: 3. Evaluate the total differential of the below equation at (x, y) = (16, 24), where dx = 1.5 and dy…
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Q: a. b. C. d. e. x² + 4x + 16 2 x² + 8x + 8 2 x² + 8x + 64 +2 x² + 4x + 5 2 x² + 8x + 16
A: Observe the mixed term and then guess the possibilities.
Q: Find the area S of the shaded region in the figure if ƒ (0) = 0² + 30. Note that 0 varies from 0 to…
A: To find the are S of the shaded region in the figure if fθ=θ2+3θ Note that θ varies from 0 to…
Q: Q6. Evaluate S¹, S₂ Sp dz dx dy.
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Q: (a) Consider the power series Show that B(x) converges for all x. B(x) = Σ n=0 (-1)η 2η 22n (n!) ²
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Q: I ― √co COS X lim x 0 1 cos x
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Q: Prove that the given transformation is a linear transformation - ( ) T: R³ R³; Ty = x+y+z/ + y
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Q: 40- 30 20 10- -10 10 10 20 30 40 50 60 Christian is a lifeguard and spots a drowning child 60 meters…
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Q: find are length x=2t² y = 3t²,0 ²t ²√58 [0,√8]
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Q: When trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the…
A: Let B be the number of burritos, T be the number of tacos
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A: Given data:- the maximum amount of a jury award that attorneys can receive is given below 40% of the…
Q: Find fxy(x,y) if f(x,y)= e 8xy² fxy(x,y)=
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Q: Find a formula for each function graphed below. a. b. (-1,4) -3 -5 (-4,-1) (1,2) (3,-2) O -3- (1,-2)…
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Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…
A: We know that the nth term of a geometric sequence is given by a·rn-1 where a is the first term and…
Q: Use cylindrical coordinates to integrate f(x, y, z) = z over the intersection (i.e. all the volume…
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Q: Based on this graph, what is the solution to the system of equations? (3, 2) (2, 3) There are an…
A: Topic:- application of geometry
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A: Part iGiven, 0,π2
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A: Let's find rate of change of blood pressure.
Q: Find the area under the curve y 2 I over the interval [1, 4]
A: Find the area under the curve y=2x over the interval [1, 4]
Q: A quadratic function f is given. f(x) = 5x² + 10x + 6 (a) Express f in standard form. f(x) = (b)…
A: Here we can express f in standard form in the following steps.
Q: 2x²-3x + 10 dx (x²+4)2
A: The objective of the question is evaluate the indefinite integral.
Q: cos(20) - cos(0)=0
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Q: Consider the function f(t) = 5 sec²(t) — 9t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…
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Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy(x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y) =…
A: The given function is: f(x,y)=5xe5xy
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