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Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = In(x2 + 3x ...

A: Given that the function is       f(x) = ln(x2+3x+4) , [-2,2] Here we have to find the absolute minim...

Q: Exercise 1 Determine the relative extrema of f. (b) f(x, y) = 4xy² – 2r*y – x -

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Q: Solve simultaneous equation dx/dt=x+y , dy/dt=4x+y , t=0 , x=2 , y=5

A: First I have written the differential equation into operator form and then reduce it into linear dif...

Q: Simplify the expression. Write the final form with no fractions. sinx secʻx- sinx sinx secx+ sinx

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Q: Number 62 please

A: 62.] Concept:- For an alternating series let the sum of partial sum is sn then sn - sn-1 for n>= ...

Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve a...

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Q: g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at...

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Q: Question 8 Evaluate the Integral J sin³y cosy dy. A - sin4y +C B -sin3y +C - sin*y +C -sin³y+C D

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Q: x' - x' – 3x – 2 dx x* - x' + 4x? - 4x

A: We will solve the integration using partial fraction. 

Q: 5. Use the definition of the Taylor Series to find the Taylor Series for the function f(a) 2- cos(x)...

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Q: Using integration by parts and taking a > 0, the integral x In(ax)dx is equal to: In a 2 In(2a) - 3 ...

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Q: Write the general antiderivative. (Use C for the constant of integration.) x2+1 dx 5x Need Help? Rea...

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Q: sin'x+8 sinx+16 sin’x+4 sinx

A: topic -  trigonometric function 

Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

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Q: Whose ares is given by the double Integral. 1 2 5 6 7 1 2 3 4 5 6 7 8 Change the order of Integratio...

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Q: 2. Calculate the double integral 2ry dA, where R is the triangular region with vertices (0,0), R (1,...

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Q: Evaluate L- {; 3s+1 s2+6s+13

A: L-13s+1s2+6s+13

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Tunorial ExSICISS And any Intercepts. 49x Step 1 To And the y-Intercepts, letx be zero and solve for...

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Q: An arch in the shape of a parabola has the dimensions shown in the figure. How wide is the arch 7 ft...

A: An arch in the shape of a parabola has the wide 18ft and height 9ft.

Q: Use implicit differentiation to find y' and then evaluate y' at (3, - 4). 5xy + y+ 64 = 0 y' =D y'l(...

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?.

A: Given : h = 4(21-x) x = 12.92 cm  

Q: find the second derivative of y=[(tane^2x)+(e^tan3x)]

A: The guven function, y=tane2x+etan(3x)

Q: Evaluate the limit. 2x5–16x² lim→2 2.2+ a³

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Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information a...

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Q: S (1 – cot x) dx b)

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Q: use logarithmic differentiation to find the derivative of the function fx)=(sinhx)s(sx)

A: Given query is to find the derivative of the expression.

Q: A particle moves along the x-axis (units in cm). Its initial position at t=0 sec is x(0) = 15. The f...

A: Acceleration

Q: suppose a baby food company has determined that its total revenue R for its food is given by R= -x^...

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Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three decim...

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Q: You are designing a rectangular poster to contain 75 in of printing with a 3-in margin at the top an...

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Q: Use the First Derivative Test to find relative (local) maximum points points, if any, of the given f...

A: given 

Q: Write an equation for the polynomial graphed below 5+ 4+ 1 -5 -4 -3 -2 -1 -1+ 4 5 -2+ -3- -4 -5+ y(x...

A: topic- polynomials

Q: Let fx) = 10x +4-15 ex, Then the equation of the tangent line to the graph of fa) at the point (0,-1...

A: I am attaching image so that you understand each and every step.

Q: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx = ...

Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

A: Find first derivative and get the stationary points then find local minima and local maxima.

Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a trapezoid...

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Q: Let R be the region in the first quadrant which is below the cur curve y = sin æ, above the x-axis, ...

A: We have to write the definite integral for the volume

Q: The marketing research department for a computer company used a large city to test market the firm's...

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Q: suppose for a particular commodity, e=.25 and that currently 90,000 units are selling for $6 each. H...

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Q: +00 Σ 4 Determine if the series converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...

A: ∑n=1∞ 4n2+4n+34 ∑n=1∞ 1n2+4n+3 an =1n2+4n+3Applying series comparison test;1n2+4n+3<1n2checking c...

Q: Nicholas hopes to earn $600 in interest in 3.3 years time from $24,000 that he has available to inve...

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Q: (-) (4) Let an = sin for n EN = {1, 2, 3, ..}. sin-1 n+1 (a) Determine if the sequence {an}=1 conver...

A: Given problem:-

Q: 7. y= tane

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Q: A tank in the shape of an inverted right circular cone has height 9 meters and radius 19 meters. It ...

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Q: S (1 – cot² x) dx b)

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Q: Find dy/dx y=4sin(x)-5cos(x)

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Q: For what numbers​ x, −2π≤x≤2π​, does secx=​1? For what numbers x does secx=−​1?

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Q: To evaluate the integral dx x+5x+6 we use the partial fraction decomposition of the integrand. Selec...

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on(a, b). ISM6 (the Midpoint Rul...

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