You are given the graph of a function f. Determine the intervals where fis increasing, constant, or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing constant decreasing -1 (No Response) (No Response) (No Response) 1

Q: dc The marginal cost of printing a poster when x posters have been printed is dx c(25) c(1), the…

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Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

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Q: Find the limit. lim_ (x² + 2x) x--2

A: Solution

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Q: Consider the following equation. f(x, y) = y³/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = u =…

A: As we know the expression for the gradient vector. ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y The given…

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Q: Choose the expression that completes the following equation so that it is an identity. tanx+cotr = O…

A: Given,  tan(x)+cot(x)=sin(x)cos(x)+cos(x)sin(x)                        =sin2(x)+cos2(x)cos(x).sin(x)…

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Q: In Problems 1-5, let R be the region bounded by y = 4(x - 2)² and y=x. Each problem will describe a…

A: Since you have posted multipart questions so I have solved first three subparts as per our company…

Q: Q2. A second-order non-homogeneous differential equation is given by dy d²y dx² - - 10- (a)…

A: We can solve the given differential equation .

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Q: X-0 X X f(x) -0.1 -0.01 -0.001 0 ? 0.001 0.01 0.1 Use the result to estimate the limit. Use a…

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Q: True or False: True O False 5 5 X dx 5 X + +51n|√√x+C

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Q: Write the sum without sigma notation. Then evaluate the sum. 2 Σ k=1 40k k+3

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Q: Find values of x, if any, at which the given function is not continuous. f(x) = Of is not continuous…

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

Q: 1. Determine the interval of convergence for the series: 27 3 9 3x + 3x² + 2. Find a general…

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Q: Question 1 of 20 o f(x) O View Policies Current Attempt in Progress Find a formula for a rational…

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Q: Begin by graphing f(x)=3*. Then use transformations of this graph to graph the given function. Be…

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Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: Find the differential of the function y=(3-x8)1/2

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Q: Evaluate the integral using an appropriate method. [15 15 cos²x sin³ x dx

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Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

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Q: Find the total area of the shaded regions. 2 y=x√ 25-x -8 -6 -4-2 Ay 25 20- 15- 10- 5- 15 -10 -15…

A: Given :y=x25-x2

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A: Solution of given question is written in below steps.

Q: Solve the triangle a = 3₁ b = 8₁ € = 7

A: answer is in next step . please give a like !!

Q: 6. A solid is bounded by the surfaces z = 4 and z= √√x² + y² . Find the exact value of the volume of…

A: To find the volume.

Q: 3. f(3x - 5)(2r² - x + 5)dx

A: Topic = Integration

Q: Specify the substitution you would choose to evaluate the integrals. √ √4-2t dt Ou=t Ou = 4-2t O u =…

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Q: O The following integral L (3. (3-ex) dx is an improper integral of type II that converges to -2. is…

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Q: The absolute minimum is at one of the local minima. True or False

A: It is indeed true.

Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

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Q: Calculate the integral, assuming that fo f(x) dx = 14 and fo g(x) dx = 9. (Give your answer as a…

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Q: If the average value of the function f(x) on [0, 3] is equal to 3 1 3/² 0 what is Select one: 06 O…

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Q: Calculate the integral, assuming that fo f(x) dx = -4, f f(x) dx = 4, f f(x) dx = 7. (Use symbolic…

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Q: Solve dN dt = (1¹ 1+ cos(2nt) N where t ≤0 and N(0) = No.

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Q: Find the characteristic equation of the matrix by inspection. -9 6 7 -3 0 30 0 4 The characteristic…

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Q: Find the equation of the tangent line and the normal line at the point corresponding to the given…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

A: Topic = Functions

Q: Evaluate Jx√x²+7dx ○ (x+7) +C 3 ○ (x²+7)³¹² + C O +7x+ C O 3(x+7) +

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Q: . (D³ - D² - 4)y = 0

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Q: Find the gradient of the function at the w = x tan(y + 2), (10, 8, -3 Vw(10, 8, -3) =

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Q: If f ' ' ( x ) = 2 , then f ( x ) is concave up at x = 2 . True OR False

A: f(x) is concave up at x= k if f"(k)&gt;0

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Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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Q: Find the differential of the function. y=x^4 (sin(8x))

A: topic:-  derivatives

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: The function is given as , fx,y=lnxy+x2 find the directional derivative at point -1,1 in the…

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 3e -2x

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Q: The circumference of a sphere was measured to be 70 cm with approximation to estimate the maximum…

A: topic:- calculus