state the definition of the derivative for 8-7t please help! I need first part

Q: calculate af fe and ду

A: ∂ ∂ xxyx2-y2x2+y2

Q: Problem 4 State whether false or true: The parabola is an even function. All functions are either ev...

A: Note:- This are multiple questions and according to our comapny guideline we can do maximum 3 questi...

Q: *xlnsinx²dx To evaluate using Gen. Power Formula, we let u=Insinx? tanx? A True B) False

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Q: Let f(x) = (3 – a) f(1) has one critical value at A = For I < A, f(r) is Select an answer Select an ...

A: We have to find the critical point and monotonic intervals.

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Q: Applications of Maxima and Minima A rectangular box with a square base and no top is to have a volu...

A: topic - application of derivatives

Q: Joseph's

A: Please refer to the image below

Q: (2x³ -x²y + y³)dx – x(2x³ + y³ )dy = 0

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Q: Find the maximum and minimum values of g(x) =1+ x + x2 + x³ + x4 + x on the interval [0, 2].

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Q: 3- Determine two functions g(x) and h(x), neither of which is constant, so that f(x) =f(x) = g(x) 0...

A: The two functions, gx=x2+1x2-1 and hx=x2+1x2+2 such that fx=x2+1x2-1x2+1x2+2. The function is constr...

Q: " sin²(x) + sin(x) xp- cos²(x) To evaluate the using basic formula of integration (without using sub...

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Q: Test II. Determine whether the function f(x) x +6x + 9 is continuous at x = -2. Sketch its graph ill...

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Q: 3x +1 at x = 1

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Q: is equal to: 3. After simplification, the product () B) - 18x2y A) 24xy3 3x²y 4xy3 18x D) - 3x 24y2 ...

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Q: find the go th deriva yive of Y= (08 3x

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Q: y = sin(cos 3x) – sin x cos 3x

A: topic - derivative of a function

Q: dx Hint: Remember "completing the square"? V4x – x2 |

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 4x + y + ...

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Q: 81 lim an n→+o The soguonco

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Q: Application of the derivative: I. Find the slope of the following curves at the indicated point. 2. ...

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Q: Y= (5x1)"(4x²-) こト

A: Given that the relation between x and y.. And use the product rule of differentiation  and then simp...

Q: du FORMULA Answer 10. | Vĩ csc(xVx) cot(xVx )dx cối ud

A: Given: I=∫xcscxxcotxxdx  ...1   We know that; ∫c·fxdx=c·∫fxdx, where c is constant. And ∫cotxcscxdx=...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Ax) = (2r' + 5)"

A: f(x)=(2x3+5)7  Then f'(x)=7(2x3+5)7-1×d dx(2x3+5)  f'(x)=7(2x3+5)6×6x2  f'(x)=42x2(2x3+5)6

Q: Evaluate the integral. HINT [See Example 2.] (x² + 8) dx 4

A: Evaluate the integral

Q: P = (1)/ ) Determine the intervals on which f is concave up and concave down. is concave up on: is c...

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Q: If F is a continuous on the set of real numbers, then SxF(x)dx = x [Flx)dx A) True B) False

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Q: xdy-ydx=√(x^2+y^2) dx x=1/2, and y=0 solve using homogeneous equation

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Q: ermine the slope of the normal to f(x) = / 2r' – 18 at x = 3? %3D

A: Please refer to the image below

Q: EXz show that J. (x) 2 sin X %3D Sols- J Cx). (-D X zm+ i (m+ +1) M=D0

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Q: In v3 2e" Ve2a + 1

A: I =∫0ln32 exe2x+1 dxTrigonometric substitution;ex = tan uex dx = sec2u duu = tan-1(ex)x = 0 → u = π4...

Q: Draw a tangent line at a given point on the graph.

A: Here we have to draw tangent lines at a given point on the graph. 

Q: 5. The sum of three numbers is 67. The biggest number is twice the smallest number. Half of the numb...

A: Let's assume, X is the smallest number, Y is the number next to the smallest one and Z is the larges...

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (En...

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Q: Given P = R³ S°T0.5 + R0.5 S sin(2T) what is P as

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Q: (In 10x+4lnx) "dx Identfy the correct u A Inx B In°x+4 In x

A: topic- definite integral

Q: x3 – 1 When you evaluate: dx The sum of the coefficient of for any constant n is 16 7 (c) None of th...

A: We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1   Given: I=∫...

Q: (d) Find the coordinates of the inflection point. Hence state the intervals for which the curve is c...

A: A graph is given in the questionx-intercepts: -1,0, 1,0, 2,0y-intercept: (0,1)

Q: 6. If f(2) = 3,f'(2) = 5, g(2) = –1, and g'(2) = –4, find (f g)'(2).

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Q: Let f, g and h be R →R functions, f(x) = x² + 1, g(x) =2x – 1, and h(x) =6x + 9. Compute the followi...

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: consider numerator series : 3,4,5.........we can re write this as 2+1, 2+2, 2+3 ,............since n...

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: Suppose g(s) = s2 + 4s +1. Find a value c in the interval [1, 11] such that g'(c) equals the average...

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Q: dy Find given y = dx uv and u = 4x² – 5x +2 and v = 4x² – 5x – 7

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Q: Calculate the integral approximations Ts and Ms for La (In x)-5 dx. Your answers must be accurate to...

A: Trapezoidal rule concept based problem. Use standard formula.

Q: 1) Evaluate the absolute extrema of the following functions on the given interval. S(x)=(x² +3x)³ [-...

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Q: A ball is thrown upward with a velocity of 160 feet per second. The position at any time t (seconds)...

A: A ball is thrown upward with a velocity of 160 feet per second. The position of the ball at any time...

Q: k=1 1) Your answer is incorrect. Try again. This series can be rewritten in which way? 43 7 k=1 k-1 ...

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Counting technique: Seven children are to be selected from a group of nine children. a) What is the ...

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