denote In°(x) dæ

Q: ) Given f'(x)=12.r -4r+8, and f (3) = 1000 find f.

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Q: Solve the differntial equation y"-6y'+9y= t^2 e^3t , y(0) = 0, y'(0)=17 using the method of…

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Q: Find the average value of the function J (1) = VI +1 from x =0 to x = 3.

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Q: for what Vather of the constant (k) that the funstion fayt=x+kxy +y will havei 2. a- Saddle Point…

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Q: Suppose that L is a location function of an object, given as L(t) = We will compute the 3t + 7…

A: We can solve this as follows:

Q: Using the graph answer: f(2) g(2)

A: We now that ,in  y=f(x) , x is values in domain and f(x) is the values in co-domain, Therefore here…

Q: A manufacturer has a steady annual demand for 12,000 cases of sugar. It costs $8 to store 1 case for…

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Q: 5. What is the maximum vertical distance between the line v1+2 and the parabolh v for

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Q: Jsec?xtan3xdx

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Q: Question 3: Find A-!, using “super-augmneted ma- [3 1 1 -17 A = 5 2 1 1 -1

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Q: Find the equation of the tangent line at the given value of x on the curve. y° +xy² -61=x+3y°; x:…

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Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(−3​,3​).   4xy+y+33=0       Part 1…

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Q: Find the interval of convergence of (х — 5)" In (8n) n=2 (Use symbolic notation and fractions where…

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Q: Verify that the function f(x) = x² – 8x + 5 satisfies the three hypotheses of Rolle's Theorem on the…

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Q: The position of a baseball (in ft) is represented by r(t) = 55/2ti + (4 + 55/2t- 16t2)j. Find the…

A: This is a problem related to vector. Based on the general formula we will answer the question.

Q: Grandma Riley wants to help Scott while he's in college by giving him a $220 monthly allowance for 5…

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Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: We have to find the differential equation for the population growth.

Q: oriented

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Q: .[[bx2-5]dx = 2x³ 5]dx = 2x3- 5x + C

A: The objective of the question is evaluate the value of "b".

Q: find the domain of the following equation: f(x) = 4 Vx2 – 4

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 y + 5 = z +…

A: Given that equation of line x-28=y+57=z+71Solution :x-28=y+57=z+71=tx=8t+2y=7t-5z=t-7point…

Q: (3 Find the determinant of the matrix 1 -4 D -2 ) 10 ) -10 2.

A: Given problem:-

Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: We need to find horizontal and vertical asymptotes.

Q: Suppose that a particluar funciton f satisfies f" (x) = - (4 sin(x) + cos(x)), f(0) = 3, f'(0) = 5.…

A: f"(x) = -(4sinx +cosx) ,  f(0) = 3 , f'(0) =5 now integrate the f"(x) f'(x) =4cosx -4sinx +c now…

Q: Which of the following are equivalent to 5 · log (u-1/6)? Assume u > 0. 1 O log log (u/") 1 log (u")…

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Q: 4.) Evaleuate the integrali Jóxarcsin(5a)dx

A: ∫fg'=fg-∫f'gAnd ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xnsee below the answer and calculation

Q: Show that f2x² dx = J; 2x² dx + [° 2x° dx + f° 2x° dx %3D

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Q: Find all values of c so that (2, 1, c) and (c – 1, 2, 2c) orthogonal. are

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A: Topic:- application of derivatives

Q: 1. 3 Consider the parametric surface 7(u, v) = (2uv, u? - v, u² +v²), where u +v < 2. Evaluate the…

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Q: 2. Find the dimensions of a rectangle with an area of 225 square cm, whose perimeter is as small as…

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Q: For the function f, use composition of functions to show that f 1 is as given. 6. 7x-7 f(x) = =x+ 1,…

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Q: dy Find by implicit differentiation for the following equation. dx 4Vx + 12y =4y %3D ... dy

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Q: Evaluate

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Q: Use linear approximation, i.e. the tangent line, to approximate 1/1.001as follows: Let f(x)=1/x and…

A: Given problem:- Use linear approximation, i.e. the tangent line, to approximate 1/1.001as follows:…

Q: S 2x(x² – 2x)dx

A: Solving the problem by finding the value of the integration.

Q: .2 y = x³ + x² у 3Dх* +x* — 4х, у — 2х

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Q: Use the shell Method to find the volume of the solid generated by revolving the area bounded by the…

A: Given: x=4y-y2 ; y=x   Now find the point of the intersection between the given curve and line.…

Q: 9. Set up the integral to calculate the area between the curves f(x)=x* – 2x g(x)=-2x+1 A. g(x)-…

A: To set up the integral to calculate the area between the curves.

Q: Q4/ Solve the equation 0 = iz2 + 2z -i where z is a complex number? %3D

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Q: Given the area of the region enclosed by y = x and y = -2x* , identify the "a" and "b".

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Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

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Q: Find the derivative of the function F(x) = x* sec (x). F'(x) =

A: We will find the derivative of the given function in the following step.

Q: For the function f, given below, find the antiderivative F that satisfies F(1)= 0. f(x) = x° - 4x -…

A: The given function f(x)=x5-4x-3-4

Q: - 1)°dx X

A: To evaluate the given integral.

Q: determine the values of p such that the function f(x)= px4+x3+x2 will have: A. 0 possible…

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Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: x + 5 Which of the following formats should be used for the domain of the function: f(x) = x² – 2x -…

A: Given,  f(x)=x+5x2-2x-8

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 %3D y + 5 =…

A: The given question has been solved in detail.

Q: Evaleuate use integration by-lacts.

A: ∫x2e-3xdxUsing integration by parts