Find the limit algebraically. lim h→0 f(-6+h)-f(-6) h where f(x) = - 8x² + 8x - 7

Q: Use synthetic division to decide whether the given number k is a zero of the given polynomial…

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Q: Is the graph of g(x) = 4x³ + 9x² + 7x + 3 concave up or down at the point with X-coordinate -2?…

A: g(x)=4x3+9x2+7x+3

Q: 5. Solve as a linear first-order differential equation: y - 2y = x² +5

A: Solution of linear differential equation y'+P(x)y=Q(x) is given by y×IF=∫(Q×IF) dx+C, where IF=e∫Pdx

Q: 10. DETAILS Evaluate the integral. 3 Submit Answer an (1) d> 5 arctan dx

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Q: Use the sum and difference identities to rewrite the following expression as a trigonometric…

A: NOTE: Refresh your page if you can't see any equations. . the given expression is

Q: Find all complementary functions of the equation y" -6y' +9y=0. a. cos3x,sin3x b. e-3x.e³x C. e-3x…

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Q: Define continuity 29 Discuss the continuity of e mi ( e & ip. ات ساد at B f(x)= Continuity f(x) = {2…

A: Since you have posted multipart questions i can do first three subparts as per our company…

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A: NOTE: Refresh your page if you can't see any equations. . the given expression is

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A: As per guidelines we are supposed to answer first three subparts only.

Q: Which of the following functions shares no common solution with the function f(x)=-3x²+6x+9 Select…

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Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z over the curve c(t) = (et,…

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Q: You need to provide a clear and detailed solution for the following Questions: Work Problem 2 […

A: NOTE: Refresh your page if you can't see any equations. . ................(1) compare this DE with…

Q: why is e and the natural logarithm, rather than other bases, are used in so many situations

A: We have to explain why is natural logarithm is used more.

Q: The degree of homogeneity of- (A) Not Homogeneous B O – 1 1 2 √x² + y² y²-3xy + 2x² D 1 is

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Q: O(fg)' = fg' + gf' O(fg)' = f' + g' O(fg)' = f'g' finding the derivative of the product of two…

A: (fg)' = ? this is the formula of derivative when two function are multiplication (fg)' =f'g +fg'…

Q: Find the Annihilator of the given function(s) f(x)= x + xcos(2x) a. D²(D²+4) b. D² (D²+4)² C. D(D² +…

A: f(x)=x+xcos(2x)annihilator operator of x is D2annihilator operator of cos(ax)=D2+a2

Q: If f(x) = 6 ln(8x + 7 ln(x)), ƒ'(x) = ƒ'(1) =

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Q: What interest will be earned if $6700 is invested for 6 years at 13% compounded monthly? (Round your…

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Q: ƒ ƒ(x) = 2√x ln(x), find ƒ'(x). Find f'(1).

A: Given f(x) = 2xln(x)formula used ddx( u.v) = u dvdx + vdudx

Q: Find a value of c so that y=x²-16x + c has exactly one x-intercept. C= (Type an integer or a…

A: We need to find the value of c for which y=x2-16x+c has exactly one x intercept.

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

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Q: Let f(x) = (In x)³ ƒ'(x) = ƒ' (e³) =

A: To find the derivative of given function

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Q: Find the linearization L(x) of the function g(x) = xƒ(x²) at x = 2 given the following information.…

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Q: Solve the initial value problem as a linear first-order differential equation: du dr = 9.8.196u,…

A: Given query is to solve the differential equation.

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Q: farmer's house sits 5 miles due south of a river. The diagram below shows the path that the farmer…

A: Figure:-

Q: To which of the given expressions is In (15 x) equivalent?

A: formula used is   lna.b=lna+lnb

Q: Compute the line integral of the vector field F = (3zy-¹, 4x, -y) over the path c(t) = (et, et, t)…

A: see below the answer and calculation

Q: Find the indefinite integral [9x (7-x¯5) dx. 9x (7-x¯5) dx = [

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Q: dy Use implicit differentiation to determine given the equation ² + y = -3. dz dy da Question Help:…

A: equation given is  x2 + y5 = -3 find the  dy/dx =? further calculations given below

Q: Let R be the region bounded by y = x,x=1, and y=0. Use the shell method to find the volume of the…

A: figure:-

Q: 3 rad r S=6

A:

Q: 3 Find the volume of the solid generated by revolving the region bounded by the graphs of f(x) =…

A: formula for volume is v=∫abπy2dxgiven  y=f(x)=6x for y axis x=0  a=0 and b=6

Q: Find 1.3 2. None of these 3.2 4. 5. 2 | 33 | 2N 3 In ve².

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Q: 287. [T] Use a CAS to graph the solid whose volume is given by the iterated integral in spherical…

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Q: (b) Use the gradient to find the directional derivative Du f(x, y, z) of f(x, y, z) = sin(3x) cos(8y…

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Q: A species of lizard is declining at a continuous exponential rate of 10% per year. If there are 943…

A: A species of lizard is declining at a continuous exponential rate of 10% per year. If there are 943…

Q: Use Newton's method to approximate a zero of the equation 5x³ + 2x + 3 = 0 as follows. Let ₁ = 2 be…

A: Use Newton's method iteration formula: xn+1=xn-fxnf'xn   The given equation is: 5x3+2x+3=0 and x1=-2…

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Q: Annual sales of bottled water in a certain country in the period 2007–2014 could be approximated by…

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Q: If f(x) √² (2³. (t³+3+²+4)dt

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Q: he graph of f(x) is given below. On what interval(s) the value of the derivative f'(x) positive?…

A: Given query is to find the interval where f'(x) is positive.

Q: A) f(x, y) = 2x - y². Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that…

A: In order to find the level curves, f (x, y) = k, where k is a constant. Since we want to draw 4…

Q: 3 Find the minimum point, maximum point, and the point of inflection in the curve of y = x³ - 12x

A: Given: y=x3-12x   First, we have to find the critical points by solving dydx=0. So,…

Q: 1. Find the particular solution for the D.E. = 2 sec²x tanx given that dx² when x = 0, y = 0 and…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: the length s of the arc that subtends a central angle of measure 40° in a circle of radius 17 m.…

A: Given query is to find arc length.

Q: A particular solution of 2y" + 4y' + 7y=x²

A: The given equation is; 2y''+4y'+7y=x2

Q: Find the point of diminishing returns (x,y) for the given function, where R(x) represents revenue…

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