Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x + 36 =

Q: Find the local maxima and minima for the function f(x) = x² + 3x - 4. If there is more than one…

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Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: Use mathematical induction to prove that the statement is true for every positive integer n. 4+1-4 3…

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Q: Let C be a cylinder of radius 5 whose axis of rotation is the y-axis. Draw a graph of C and then…

A: We need to find equation of cylinder. As per Bartleby guidelines we can solve one question from…

Q: The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the…

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Q: Is the function T(s) = (6s-4) (es-5) a power function? If so, identify k and p such that T(s) = ks².…

A: The given function is:T(s)=6s-4es-5

Q: (d) Given the graph of f (x) below (blue), select the correct graph of the transformation y = f(x +…

A: To do transformation on given function f and determine its graph.

Q: $5,000 is invested for 5 years at 8% compounded quarterly, how much interest (in $) will be earned?…

A: Given query is to find the interest earned.

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: Given the homogeneous differential equation, (4D³-3D+1)y=0. The roots of the auxiliary are Om = -1,2…

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Q: If y is inversely proportional to x, and y = 9 when x = 6, write a formula for y in terms of x. Use…

A: Given y is inversly proportional to x let k = proportionality constant

Q: Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds.…

A: Given a is the area of a disc with radius r which is expanding in time t measured in seconds.   We…

Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: Question 4 moriro 4. Simplify the following. Show all details and leave your answer with only one…

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Q: 6- The first term of a geometric sequence is 24 and the third term is 6, find the fourth term and an…

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Q: Solve the equation dy 2y² S 3ry

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here…

Q: Use mathematical induction to prove that the statement is true for every positive integer n. 4 + 12…

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Q: Find the Taylor series (general form) of f(x): 1 X centered at x = 1.

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

A: To find the rate at which the area is changing

Q: 5. Consider the polynomial graphed to the side. Answer the following questions using that function.…

A: We need to interpret the graph.

Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. X(t) = dx dt…

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Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

Q: Find the limit of f(x) = lim f(x)= -7+- X as x approaches co and as x approaches -8. lim f(x) = X→∞0…

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Q: Mary Toy borrowed $4,000 from her parents and repaid them $4,160 after 9 months. What simple…

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Q: Write Sk 1.13+2 14+3•15+...+ Write SK+1- (Type your answer in factored form.) 1.13+2+14+3•15++=…

A: To evaluate:  ------------------------------------------------------------------------------- Basic…

Q: The roots of the auxiliary in y (4) + 3y"- 4y=0_ Om= ±2 Om=+1,i Om= + 2i Om= ± 1, ± 2i

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Q: 44 If 2x=y¹/5 +y=1/5, then express y as an explicit d²y dy = 25 y. dx dx² function of x and prove…

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Q: Find the area of the region between the curves y = ³ and y = 20x - x². Area between curves =

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Q: (c) At what points is the height 40 m? (Round your answers to two decimal places.) (x, y) = -52.825…

A: The given equation of the arch:y=211.49-20.96 cosh0.03291765x

Q: Find the length and width of a rectangle that has an area of 392 square feet and whose perimeter is…

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Q: * Your answer is incorrect. Consider each function to be in the form y = k xP, and identify k or p…

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Q: 1 cm?

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: It's wrong

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Q: 12) y = 2-X; dy 3x+1 A) -7 (3x+1) dy = ? ² B) 6X-5 (3XH) 2 c) (3x+1) D) = ¹ 3+2X

A: NOTE: Refresh your page if you can't see any equations. . take derivagive

Q: (th) h B) none existent 2) lem Cos ho A) | TheR c) 0 D)(-1) E) None

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Q: Consider the following. Find f'(t) and g'(t). f'(t) = g'(t) = f(t) = t sin(t) g(t) = 1 + t…

A: Let's find derivative of given function.

Q: Differentiate the function. y' = y = In ( 16 = 3x²|)

A: we know that   dlnxdx=1xdxndx=nxn-1dconstantdx=0given  y=ln6-3x7

Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: A right triangle has an area of 20 square centimeters and a hypotenuse of 10 centimeters. what are…

A: Solve the following

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function:- y=2x

Q: For the function f(x) = 2x³-18x²+4: (a) Find the critical numbers of f(if any); (b) Find the open…

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Q: 24. Below is the graph of f(x) lim f(x) = x-1 f(-1)=

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= ax…

A: According to question, Given Function,gx = axif x<0x2-7xif x≥0

Q: Graph the integrand, and use area to evaluate the definite integral The value of the definite…

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Q: y = ln x, xy = 4, x = 1, x = 3

A: NOTE: Refresh your page if you can't see any equations. . here we have and the given interval is…

Q: f(x) = (2x³ + 8), (1, 100)

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Q: What is the exact value of the definite integral?

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Use Stokes' Theorem to evaluate SF. ds, where F(x, y, z) = (-xy, -xz, -yz) and C is the triangle…

A: Given that , Fx,y,z=-xy , -xz , -yz and C is the triangle with vertices 0,1,0 , 0,1,5 , 3,1,0…

Q: Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the…

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