Question 6 Direction: Find the derivative of the function. Not yet y = -r² +3 answered Marked out of 3 P Flag question Select one: O y' = -2x O y' = 2x O y' = -2r? O y' = -2x + 3

Q: The functions f and g are defined as f(x) = 5x – 2 and g(x) = - 7x². f and a) Find the domain of f, ...

A: The given functions are f(x)=5x-2  &  g(x)=-7x2

Q: Graph of f 11. The graph of the function f is shown in the figure above. Which of the following coul...

A: Given that: Graph of f(x)

Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D X...

A: We can find the tangent equation and normal equation as below.

Q: 11. Write a polar equation of a conic with the focus at the origin given the following: Eccentricity...

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Q: Y= Gas"(Sin-(tan

A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x+ 4, g(x) = 2x-7x-4

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Q: Calculate the work (in joules) required to pump all water out of a full tank. Water exits here. d. C...

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Q: a) Determine n-th partial sum Sn b) Show whether the series is convergent c) If the series is conver...

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Q: Find the surface area of a square-based pyramid whose lateral faces are isosceles triangles with bas...

A: Pyramid has four lateral faces and one base face. Total surface area = base area + 4 lateral face ar...

Q: Given that y = 3t^3 + 1 and x = t^2 - 5. Find y' when x = 4. Express your answer in whole number.

A: Given that: y=3t3+1x=t2-5

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

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Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

A: Given: f(x)=x2-3

Q: Find the parabola with equation y = ax? + bx whose tangent line at (1, 1) has equation y = 5x – 4. y...

A: Let's find. 

Q: 6. Using differentiation formulas, write the derivative with respect to x of the following. Find the...

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Q: Find the distance from the plane 4x + 5y + 5z= 28 to the plane 4x+ 5y + 5z = 36. The distance is d =...

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Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer.

A:     ∫ 3x-13+3dx=∫ 3x-13dx+∫ 3dx=92x23+3xAdd a constant to the solution=92x23+3x+C

Q: Find the cross product u x v and verify it is orthogonal to both u and v. a) u = 4i + 3j – 2k and v ...

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Q: Find the general solution of the given higher-order differential equation. у" - 2у" — Зy' — 0 y(x) =

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Q: 4. (x+ 2y-1)dx-(2x+y-5) dy =o

A: According to question,Given differential equation,x+2y-1dx-2x+y-5dy = 0

Q: Choose the most appropriate answer: Evaluate the integral : S dx 7x6 x7+1 O In(x7+1) + C O In(x"+ 1)...

A: Let's find. 

Q: В. Find all vertical and horizontal asymptotes. 2x2+2x+1 15. f (x) 5313 5

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Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval (...

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Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

A: Given :f(x)=3x+1g(x)=x

Q: Find the equation for the plane through the point Po = (7,2,3) and normal to the vector n= 4i + 6j +...

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Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

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Q: sin? 2x dx 1+cos 2x

A: solution:-∫sin22x1+cos2xdxwe know thata2-b2=a+ba-bsin2θ+cos2θ=1sin2θ=1-cos2θ=1+cosθ1-cosθ  

Q: Find a formula for a function f that satisfies the following conditions. lim f(x) = 0 lim f (x) = -0

A: Given that:                              

Q: 3. The function f is defined for all real n umbers except for x = -3. What is a reasonable estimate ...

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Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as: ...

Q: Homework: Unit 5 AS: Trigonometric Functions A function value and a quadrant are given. Find the oth...

A: We will find the value of other five trignometric function. Cot θ = -4, Quadrant ιν

Q: Solve: If n is a known positive integer for what number c is (xn-1dr =

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Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

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Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the...

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Q: Find the integral of 12sin xcosxdx if the lower limit is 0 and the upper limit is 90°. OA 11.5 O B. ...

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Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the ty...

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Q: 7. csc'x- cot'x + tan²x cosx - sin?xcosx

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Q: Find an equation of the tangent line to the curve y=3arccos(x/2) at the point (1, pi)

A: Given that equation y=3cos-1x2To find : equation of tangent line at point 1,πSolution :equation of t...

Q: Find the point, P, at which the line intersects the plane. x= - 2+ 2t, y = - 3 + 8t, z= - 10+ 4t; 7x...

A: We have to find out the point of intersection

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: An equilateral triangle has a side length of 1.4x+ 2 inches. A regular hexagon has a side length of ...

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Q: ずx 1

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Q: If a function f(x) is continuous on the interval [a..b] and sign of f(a) = sign of f(b), then: There...

A: Bolzano's theorem: According to this if f is continuous on        [a b]And if f(a) and f(b) has oppo...

Q: 2. Given: f(x)= x' +4x? – 2x+9 g(x) — х? +2 %3D h(n+2)= 2h(n+1)– 3[[h(n)]° h(1) =1 and h(3)= 5 f(-5)...

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Q: function is in a form of y = ax^3 + bx^2 + cx + d. it has relative maximum (3,3) and point of inflec...

A: Given function f(x)=ax3+bx2+cx+d

Q: Use the definition of derivative to find the tangent and normal equations of f (x) = (x – 3)2 %3D

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Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = 3x+1, g(x) = ...

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Q: Given the equation below. Give what is being asked. sec23xdx a In(1+4tan3x) + C 1+ 4tan3x Find: a + ...

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Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5      b...

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule: f·...

Q: 6. Given f(x)= { 3, if x < -2    x, if -2 ≤ x<8    x+3, if x≥8  estimate lim f(x) x→−2     a.-2    ...

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

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