The form of the partial fraction decomposition of a rational function is given below. A = B = C = 4x²-3x + 27 (x+3)(x² +9) = A x + 3 + Bx + C x² +9

Q: f cos 4x√sin 4x + 1dx. O-(sin 4x + 1)³/2 + C O(sin 4x + 1)³/2 + C O-(sin 4x + 1)-¹/² + C O(sin 4x +…

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Q: Calculate the integral of f(x, y, z) = z(x² + y² + z²)−³¹2 over the part of the ball x² + y² + z² ≤…

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Q: Find the absolute maxima for the function: f(x) = 6 x+ sin (6 x) on the interval [0, 2 π].

A: We have  fx=6x+sin6xx∈0,2π

Q: Please show your work (i.e., provide an explanation of your final solution) to receive credit. If…

A: C=d dx(f(x4)g(x23))d dx(xn)=nxn-1d dx(a.b)=a×dbdx+b×dadx

Q: Evaluate the integral 32 ¶¶(4-y²) dy dx. 00

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Q: 4. Compute y' where y = 06x² - 6x 6x - 6 O4x - 3+1/2 04x-3-1/2 ONone of these 2x³ 3x²+1 x

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Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in.…

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Q: The density function of X is:  f(x) = c·x2 ·( 1 - x ).  Calculate the mode of X.

A: The density function of X is: f(x) = c·x2 ·( 1 - x ).  Calculate the mode of X.

Q: Please show your work (i.e., provide an explanation of your final solution) to receive credit. If…

A: B=d dx(f(x)xg(x))d dx(xn)=nxn-1d dx(a.b)=a×dbdx+b×dadxd dx(ab)=b×d dx(a)-a×d dx(b)b2

Q: 13x² √x² −1 dc = √u dhe, dx If values for a and b. , then determine which of the following should be

A: ∫24 3x2x3-1dx

Q: Given the graph of f’(x) how to find where f(x) is concave down

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Q: Suppose that f(x, y) = x³y². The directional derivative of f(x, y) in the directional (−1, 1) and at…

A: f(x,y)=x3y2point is (2,-2)in the direction of (-1,1)

Q: Factor out the negative greatest common factor, -5a-10. Drag pencil to correct answer.

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Q: 2. We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

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Q: 8. A bead slides down the curve xy 10. Find the bead's horizontal velocity at time t = 2 s if the…

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Q: so whats the answer

A: So what's the answer.

Q: ) For the DDS given by P_(n+1) = 0.3Pn + 17, find the equilibrium value. 1a) Pe = ?

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Q: For the given function, compute the missing values in the following table. f(x) = 2−x x −3 −2…

A: We have given f(x) = 2-x

Q: Find the 36th derivative of f (x) = sin2x. Enclose arguments of functions in parentheses. For…

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Q: 6. Compute dy where xy = dx cos(x+y)-y x cos(x+y)+y x cos(x+y)-y x-cos(x+y) cos(x+y)+y x+cos(x+y)…

A: The equation is given by xy = sinx+y To determine: The expression of dydx.

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

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Q: 4. Evaluate the following limits. 3x+1 a. lim x⇒-2 2-x b. lim x³+27 X-3 x+3

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: Find the global maximum and global minimum values of the function f(x)=x^3−6x^2−63x+7 over each of…

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Q: (a) Use logarithmic differentiation to find the derivatives of the followin x. cos²x e (1) Y x² + x…

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Q: The demand for tickets to an amusement park is given by p= 80 -0.04q, where p is the price of a…

A: Note:- As you asked multiple subparts ,according to our policy we can solve only first three…

Q: Evaluate the iterated integral S S (11x+10y (11x+10y + 14)dx dy. 4-2

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Q: Consider the function g(x) = x³ - 12x. (a) Indicate the x- and y-intercepts. (Order your answers…

A: We are authorized to answer three subparts, so we answering the first three subparts.

Q: The following is a graph of a logistic function P=(L)/(1+Ce−kt) The marked point (25.60,17.5) is…

A: The solution is shown below-

Q: For the given function, compute the missing values in the following table. s(x) = 4x − 2 x −3 −2 −1…

A: Given , s(x) = 4x − 2 At x= -3 ; s(x) = 4-3-2 =4-5 = 11024 At x= -2 ; s(x) = 4-2-2 =4-4 =1256 At x=…

Q: 4.a) Find d dx y = ln (2²/ n (²x + 5) b) Find dy dx y = 3√√x++2x e³x (5x²)

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Q: Company produces two products (A and B) that are processed on two assembly lines. Assembly line 1…

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Q: Run a regression analysis on the following data set, where y is the final grade in a math class and…

A: Solution: Here we are using excel to find the linear equation

Q: The desert temperature, H, oscillates daily between 36°F at 6am and 76°F at 6pm. (a) Write a…

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Q: Use the graph of the derivative f' of a continuous function f is shown. (Assume f' continues to ∞.)…

A: Use the graph of the derivative f'(x) of a continuous function f is shown .

Q: Given that 2i is a zero of m, write the polynomial in factored form as a product of linear factors:…

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Q: 8. 5x³43x²+72x+36> 0 10. 2x²-x-4

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Q: Suppose you turn off the engine of your car when the temperature of the engine reaches 188 °F. If…

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Q: Z = XY X-Y Find the partial derivative of Zxy= = Ans: Zxy: - 2xy (x-Y)³

A: Given: z=xyx-yWe need find zxy.

Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

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Q: Given h(x) tangent line to h(x) at x = -1? = -2x³ +=; x (A) y - 1= 5(x - 1) (B) y-3-7(x + 1) (C) y -…

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Q: A ball of radius 15 has a round hole of radius 8 drilled through its center. Find the volume of the…

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Q: Find the points at which y=f(x)=4x−ln(2x)has a global maximum, a global minimum, and a local,…

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Q: Evaluate the integral √2 S s² + √5 2 ds

A: Use the Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1   To evaluate the…

Q: Evaluate the iterated integral ] [18x²y³ 18x²y³dy dx.

A: A detailed solution is given below.

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). SS5(x+y)…

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Q: For the following graph, identify the points where the local and absolute maxima and minima occur.…

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Q: Write the polynomial p(x) = x³ - 3x²+x-9 as a Taylor polynomial centered at 20 = 1.

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Q: For the function f(x) = e2x + 4x3 defined for all x ∈ R. Show that there is an inverse function for…

A: An inverse of a function exists if it is both one-to-one and onto. Inverse of a function f is…

Q: Find the critical point of the function: f(x, y) = -1- 6x-2x² - 5y + 3y² (x,y)= This critical point…

A: f(x,y)=-1-6x-2x2-5y+3y2for critical points put ∂f∂x=0∂f∂y=0∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0