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Calculus

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Q: Find m so that x– 5 is a factor of f (x)= 4x² – 21x² +mx–15.

A: Consider the given polynomial fx=4x3-21x2+mx-15

Q: Find ds/dt.

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Q: angle between A and B.

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Q: Graph the equation y = 2x - 2 .Let x = -3, -2, -1, 0, 1,2, and 3.

A: Given equation is y=2x-2. We will put value of x and we will get respective value of y, x -3 -2 -...

Q: cos-1(cos x) = x for every x in the interval________.

A: To find the interval.

Q: Find the general solution of = 8e-4x %3D dx

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Q: Let A be the area of a circle with radius r. If = 2, find when r = 3. di dt

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Q: Suppose that both the radius r and height h of a circular cone are increasing at a rate of 2 cm/s. H...

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Q: i) What is the degree of f ?ii) Determine the zeros of f and their multiplicities.Also, determine wh...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: Use reference angles to evaluate sec(15*Pi/4). what is the reference angle

A: To evaluate sec15π4

Q: Please draw the picture as well and solve 3A, B, and C

A: given that a box has a sides of length of x=3m ,y=7m and z=1m. and also the rate of change of this l...

Q: 11) Find the inverse of the föllówing functións änd chéck yoür answer. Find the domain and range of ...

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

Q: The radius of a circular oil slick expands at a rate of 5 m/min. a.) How fast is the are of the oi...

A: To Determine: a.) How fast is the area of the oil slick increasing when the radius is 52 m? (Use sym...

Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point. ...

A: Given that a hot air balloon is rising vertically is tracked by an observer located 7km from the lif...

Q: Question attached

A: Here we use the formula of power rule of derivative.

Q: 1. Find the general solutions to the differential equations: y" + 5y' - 6y = 0 y" + 6y' + 9y = 0 2...

A: characteristic equation is: r^2 + 5r - 6 = 0 (r+6)(r-1) = 0 -> roots are 1 , -6 So the solution i...

Q: 51-54 - Solving a System of Equations Graphically Use a graphing device to graph both lines in the s...

A: Hey, since there are two questions posted, we will answer the first question. If you want any specif...

Q: 53-54 - Solving a Matrix Equation Solve the matrix equation by multiplying each side by the appropri...

A: 53. The matrix equation is 3-2-43xyzuvw=10-1213

Q: Based on the graph of a function that I attached how do I Find the graph of its derivative

A: See from the given graph of the function fx, the graph becomes parallel to x axis at the points x=-2...

Q: Lana drove from Iowa City to Smallville at a speed of 50 mph. On the way back, she drove at 75 mph....

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Q: Finding a derivative in exercise 60

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Q: Find the surface area of a sphere of radius a.

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Q: find all solutions to attached equation

A: We have y'=xy+xe−x2

Q: In(t) Let y = %3D (a) ( Find y' using the quotient rule. (b) Rewrite y as a product, then find y' us...

A: Given that y=lntt3. (a) Compute the derivative using quotient rule. y'=lntt3'=t3lnt'-lntt3't32=t3t-3...

Q: The logistic growth function models the percentage, P(x), of Americans who are x years old with some...

A: the logistic growth fuction models the percentage,P(x), of Americans who are x years old with some c...

Q: 2. ( Quotient Rule, or Chain Rule. For others, you don't need anything more than Power Rule and thre...

A: Product rule of differentiation: ddxfx×gx=fx×ddxgx+gx×ddxfx=fx×g'x+gx×f'x Quotient rule of different...

Q: 9) Determine if the following functions are inverses of each other. State any restrictions on the do...

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Q: 2) Let p(x) =-3(x-2)²(x+3)(x+1)³. 2a) Compute the y intercept of p. 2b) List the zeros of p and dete...

A: ACCORDING TO BARTLEBY GUIDELINES SOLUTION OF FIRST THREE SUBPARTS WILL BE PROVIDED.

Q: Evaluate the following indefinite integral: ∫ (5x)/((x+5)^3) dx

A: Given Integral I=∫5x(x+5)3dx Take the constant out from the integral as : ∫af(x)dx=a∫f(x)dx I=5∫x(x+...

Q: 17-22 - Matrix Equations Solve the matrix equation for the unknown matrix X, or explain why no solut...

A: Since you have posted a question with multiple subparts, we will solve the first three sub-parts for...

Q: Give the center and radius of the circle described by the equation (x + 1)2 + (y - 4)2 = 25 and grap...

A: According to the question, we have to find the center and radius of the circle x+12+y-42=25 and grap...

Q: Example 4: Solve the differential equation, (xy - 2y) dx + (x - 4y – 1)dy = 0

A: Since you have asked multiple questions in single request so we will be answering only first ques...

Q: Find the critical points for the function f(x,y)=x3+y3−3x2−3y+2 and classify each as a local maximum...

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Q: 1) Find the following for f(x) = 2x + 3 and g(x) = x² – 4. %3D d. (gof)(3)

A:

Q: Please Find f'(x) USING THIS FORMULA f'(x)=c*f'(x)

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Q: A tank is is half full of oil that has a density of 900 kg/m³. Find the work W required to pump the ...

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Q: Solve for the differential equation and get the General Solution

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your a...

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Q: Consider the vectors u = ⟨cos , sin , 0⟩ and v = ⟨cos , sin , 0⟩, where > . Find the dot product ...

A: Consider the given vector u→=cosA,sinA,0 and v→=cosB,sinB,0

Q: 4) Given the one-to-one function f(x) = %3D x+2 Find f and determine its domain and range.

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Q: Solve for the Differential Equations and get the General Solution

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Q: d²y when x = 1 for the equation x²y – 4x = 5. It is known that dy 4-2ху Find the value of dx2 dx x2 ...

A: Given that the equation: x2y-4x=5 Differentiate the given function with respect to “x” then, ddxx2y-...

Q: If f(x)=4x(sinx+cosx), find f'(x) f'(x)= Evaluate the derivative at x=2. Enter an approximation, rou...

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