Let F be function such that F(1)=7 and F' (1)= −5. Find H′(1) for the function h(x)=f(x)f(x). H'(1)= ?

Q: 2. Given r(t) = e' cos t i + e' sin t j+ e*k , find the tangential and normal components of accelera...

A: Tangential component , aT = v.av  and Normal component , aN = a2-aT2

Q: 9, f(x)dx f(x)dæ = 4, f(x)dx = 6. %3D Suppose %3D | f(x)dx (9f(x) – 4)dæ

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Q: Using newtons method to approximate the zeros of the function. Continue the iterations until 2 succe...

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Q: Find the solution set of 5y-x=2 and x+y=1.

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Q: Find the difference quotient and simplify. f(x) = -9x-2x+6 %3D The difference quotient of f (x) is

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Q: Use a definite integral to find the area of the region between the given curve and the x-axis on the...

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Q: Find the measure of each sic 5) 43° 57 C 12 Y A 64° 7

A: Given that:                       

Q: 28. Show that D = 0 for f(x, y) =x + (x- y) and that the function has no relative extrema.

A: Given: fx,y=x3+x-y2 To calculate the critical points, ∂f∂x=0 ; ∂f∂y=0

Q: an open box is to be constructed from a poece of cardboard 10 cm by 20 com by cutting squares of sid...

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Q: Use the Linear Approximation to estimate Af for f(x) = - when a = 2 and Ax = -. 5+x2 (Use decimal no...

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Q: (r+6)dr 4. S (z+2)?

A: Given: = The indefinite integral is, ∫(x+6)(x+2)2dx To find: -The complete solution of the given ind...

Q: dy 4. Solve the homogeneous differential equation + 6xe x. dx

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Q: se a definite integral to find the area of the region between the curve y = 12x and the x-axis on th...

A: Given query is to find the area under the curve for the function.

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

A: To find :  limx→∞ 7x3+5x-27x4+5x3-2

Q: -1< x< 2 3 Consider the function f(x) = x = 2 |4- x 2 < x < 3 1 x2 3 (a) Sketch f(x). (b) Discuss th...

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Q: Find the equation for the plane through the points Pol- 1,5,- 3), Qo(-5,4.2), and Ro(3, -5,0). Using...

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Q: Match the solution curve with one of the differential equations. O y" + 4y = 0 O y" + 2y' + y = 0 O ...

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Q: 3. The graph shows a hill walker's trek. She stopped for a rest at 12:00 and for lunch at 13:00. 11:...

A: Given, the distance-time graph of a hill walker's trek. We know that, the slope of a distance-time ...

Q: an equation of the plane that passes through the given point and is perpendicular to the Point Perpe...

A: Please refer to the image below

Q: lim 극 et – 1 x-1

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Q: Evaluate the following integral: 1 dx 1+ 36x2 Note that an arbitrary constant has been added for you...

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Q: Use Part 2 of the Fundamental Theorem of Calculus to decide if the definite integral exists and eith...

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Q: Find the slope of the secant line in red. 104 (3, 8) (1,2) -10 -6 6. 8: 10 -6- -8+ -10 The slope of ...

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Q: a(t)=40t^3-10 Find the acceleration when the velocity is 0

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Q: What is the exact area bounded by the curve f (x) =- and the x-axis on the interval [1, 6]? Write th...

A: Area of region bounded by curves y = f(x) on [a,b] is given by             A = ∫abf(x)dx

Q: If 11 < f(x) < 19, then | f(x)dæ <

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Q: das sdas :: consider the curve satisfying yll =6x and is tangent to the line y=5-3x at x=1. what is ...

A: Given that: Curve y''=6x and tangent to the line y=5-3x at x=1

Q: 4. DETAILS SCALCET9 2.5.037. MY NOTES ASK YOUR TEACHER Use continuity to evaluate the limit. lim In ...

A: Solution )4) limx→1ln(7 - x2/1 + x ) = ln [( 7 - 12)/( 1 + 1 )] = ln (6/2) = ln 3  = 1.098 5) limx→-...

Q: Given the function f (x) = tan(3x) with the domain -5,5, choose the correct responses to complete th...

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Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

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Q: Find the general solution of the given higher-order differential equation. d³u d²u 2u = 0 dt3 dt2 u(...

A: Given that: d3udt3+d2udt2-2u=0

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

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Q: If 2 ak = 4 and E bk = 42, find the following values. k= 1 k= 1 n b Σ 38 Σ Σ E (ak + bx). E (ak - bk...

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Q: Find the derivative of the function using the definition of derivative. g(x) = /2 – x g'(x) = State ...

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Q: Lan® do In (cos0) 3.

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Q: Find the arc length of the curve  Image. 1 ≤ x ≤ 2

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Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is ...

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Q: 4х — 3, 0 < x < 3 - f(x) = 5, х? — 6х + 18, 3 <х x = 3 %3D use algebra to find each of the following...

A: We have to find limit and sketch the graph.

Q: x-2 ifx4 a. Find lim f(x). b. Find lim f(x). x3 X-4 Select the correct choice and, if necessary, fil...

A: Given query is to find indicated limits.

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x - 9x2 f'(x) = ...

A: We will find the derivative and domain of f(x) and f'(x) as shown below

Q: Find the area of R - region bounded by the curve y = 1/x2 and the lines y = x and y = x/8 O 1

A: Given: The curve y = 1x2 and the lines y = x and y = x8. To find: The area of the region bounded by ...

Q: Σ6 Given the series 2 k=0

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Q: Evaluate the integral 3 sin(t)dt

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Q: A particular professor has noticed that the number of people, P, who complain about his attitude is ...

A: see below the answer and explanation

Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5– 3x at x = 1. What is y' (2)?...

A: Given: y''=6xand tangent to the line y=5-3x at x=1To find y'(2)=?  

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

A: Solve the given lpp  Minimize c= 0.3x+0.2y  0.1x+0.2y&gt;=1  0.3x+0.15y&gt;1.5  10x+10y&gt;=80  x&gt...

Q: Evaluate the following integrals using “Integration by Substitution

A: ∫z7(10z8-4)dzGiven that: 

Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) ...

A: follow next step

Q: Twenty students like both the first (Set A) and second (Set B) techniques in solving a mathematical ...

A: We will find the solution in the following step.

Q: At what point does the graph of 3x+y=0 and x-y=D4 intersect?

A: Given: 3x+y = 0 y = -3x And x-y = 4 y = x-4