Differentiate y = 11x4 +3

Q: Find the area between the curves. y=x2 − 9x + 3  and  y=x2 + 9  from  x=0  to  x=6

A: The region between the curves  from The graph of region

Q: Find d37 -(sin x). dx37 Derivative:

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Q: Verify that fxy = fyx for the following function. f(x, y) = 3x5y6-9x4y³ fx =

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Q: is a piecewise-defined function so that - cx if x 2 value of c for which the limit of f(x) exists as…

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Q: Assume that the x- and y-axes are rotated through angle 0 about the origin to form the x'- and…

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Q: Which of the following planes are parallel? P1: 15x-6y +24z = 17 P2: -5x + 2y - 8z = 6 P3: 6x - 4y…

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Q: Use properties of exponential functions to solve each equations. Show all steps and give the exact…

A: The given equations (a) (b)

Q: Calculate the determinant of A det (A) = Number -5 3 -1 5 00-3 0 3 -5-2-4 -2 -1 4 5

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Q: Inx for all x > 0. The derivative of fis given by x 2. Let f be the function given by f(x) = f'(x)=-…

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Q: In 2004, an art collector paid $168,274,000 for a particular painting. The same painting sold for…

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Q: Find the derivative of the following function. 8 9 f(w) = ³ + xw²+6w+5 5 f'(w) =

A: Given,

Q: 1. Find constants a and b such that g(x) is continuous for all x, where if x<-1 g(x) = if if x³ ax +…

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Q: Find dy dx xy + y² = 5 dy-0

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Q: the region of integration. 5 /In(x) L³I" 1 Jo f(x, y) dy dx

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Q: Match each scatterplot shown below with one of the four specified correlations. O O 00 %%0 O 08 Ⓡ 0%…

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Q: Find dw/dr when r=4 and s=-3 if w(x,y,z)=xz+y2, x=4r+5, y=r+s and z=r-s

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Q: Let f(x) = In(x). State if the following statement is true or false (a) The graph of f(x) has a…

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Q: 4. Find the exact length of the curve. x=e' -t, y=4e¹¹2, 0≤t≤2

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Q: Find explicit formulas for sequences of the form a1, a2, a3, . . . with the initial terms given…

A: Given that the sequenceAnd  To find the nth terms

Q: Calculate the derivative of the following functions. 15 (a) f(x) = (1) f'(x) = (b) y = dy dt h'(y) =…

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Q: Find the derivative of the function. h'(t) = h(t) = 17 cot ¹(t) + 17 cot-1 ¹(+) X

A: The given function is .The aim is to find the derivative of the given function.

Q: Find the equation (in terms of 2) of the line through the points (-4,-2) and (4,2) Y

A: Find an equation of the line pass through (-4,-2) and (4,2)

Q: Consider the following. (If an answer does not exist, enter DNE.) 32 +² (a) Find the interval(s) on…

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Q: f(x)=x54x

A: Given that functionWe have to find the derivative of the given function

Q: Write a polynomial f(x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

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Q: Consider a trapezoid that has a constant area of 300 cm. The height of the trapezoid is increasing…

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Q: How much work is done lifting a 15 pound object from the ground to the top of a 30 foot building if…

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Q: F'(x) = f(x) = 4x5-35x² + 40x Compare the graphs of f and f' and use them to explain why your answer…

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Q: 2 y³ 4. Solve y' +-y X X² = using the following technique: A Bernoulli differential equation (named…

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Q: 11. Find the equation of the line tangent to the parabola y=x²-3x+2 and perpendicular to the line…

A: Determine the equation of tangent line

Q: Find the derivative of the function. Simplify if possible. y = arccos (e7x) 11

A: Given,

Q: Prove that for all integers n, it is the case that n is even if and only if 3n is even. That is,…

A: We have to prove that for all integras n, it is the case that n is even if and only if 3n is even.…

Q: Given: x=t³-3t, y=t²-5 a) Find the points on the curve where the tangent is horizontal or vertical.…

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Q: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting…

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Q: A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the…

A: Given that a model used for the yield Y of an agricultural crop as a function of the nitrogen level…

Q: Compute the Taylor polynomial of degree 4 for g(x)=cos x centered at x=0.

A: To compute the Taylor polynomial of degree 4 for  centered at .

Q: 4. Letf & g be the functions defined by below by (x²-2 ƒ(x) = √x −e* +(x + 1)(x² −1) & g(x)= 6x-11 x…

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Q: -9x² - 17 - 18x4 (a) standard form (b) degree standard form, degree, coefficients, leading…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: y = esinx. 3 tan x

A: We need to find out the derivative of the given function.

Q: Set up, but do not evaluate, an integral for area of the surface obtained by rotating the curve…

A: To set up, but not to evaluate, an integral for the area of the surface obtained by rotatng the…

Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.08. y = √√3x - 2 Enter…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Let f be a differentiable function. We are given the following values of ƒ and x |ƒ(x)|ƒ'(x) 4 16 36…

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Q: 7. Given the graph: (a) Given P(x) = f(x)g(x), find P′(2) f(x) (b) Given Q(x): find Q'(2) g(x)' =…

A: Given the graph:

Q: If u = i - 3j +2k, v= i +j, w = 2i +2j - 4k, what is magnitude of -2u plus 2 times magnitude of v ?

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Q: Use the determinant to compute the area of the parallelogram induced by the following two vectors:…

A: Using determinant, we can find the area.

Q: Let L be the line segment between (1, 2) and (4, -4). Find the area of the surface generated when L…

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Q: 6. Identify the key points and coordinates (center, vertices, covertices, foci, transverse axis and…

A: The given equation of hyperbola is

Q: Find the equation for the tangent plane to the surface 4x2+10y2-z=0 at the point (2,1,26)

A: 1. Calculate the gradient of the surface at the given point (2, 1, 26). The gradient is a vector…

Q: Find three positive numbers whose sum is 160 and whose product is a maximum.

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Q: Simplify the expression. (16x 16x²x) (- 8z4 28x²z³ 14y²

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