#1) Determine f' and f", if (x)=x²- X4

Q: Domain: [-00,00]; Range : [1] Domain: [1]; Range: [1] option 2 O Option 4 O ? The domain and range…

A: Domain : The domain of a function is the set of numbers x for which the function f(x) is defined…

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A: The required derivative is given below

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Q: 19

A: it is vertical parabola.

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A: See the answer below

Q: help me solve the problem number 10

A: This question can be solved using formula for reducing powers cos A2=1+cos(2A)2

Q: In triangle ABC, let M be the midpoint of AB and N be the midpoint of AC. Suppose that you measure…

A: Concept: Midpoint theorem of the triangle: According to the midpoint theorem, "the line segment in a…

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Q: Assume that z = f(w), w = g(x,y), x=4r³-s², and y = re. If g (4,1)=-4, g,(4,1)=2, f'(7)= -2, and…

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Q: axy + z³x - 2yz = 0.

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Q: What is the exact value of cse?

A: Given.

Q: Q4: Draw and Integrate the function f(x, y) = (xy) over the region bounded by the curve x = y² and…

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Q: 7. Integrate * m Note: fedu = e² + C Ox²ex-2xe* + 2e* + C O-tanx + C 4 O x² + 2xe* - 2e* + C O x² -…

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Q: aw Q/ Find for wear sin ¹p where əx p = sin x q = z² ln y r at (x, y, z) = ( Hint: sin √1-x² dx X =

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Q: 28. Find the surface area of the portion of the curve x² =4y from y =1 to y =2 when it is revolved…

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Q: Q3: Find the remainder when 3181 is divided 17

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Q: Write an equation of the line that passes through (-5,1) and is parallel to the line defined by…

A: The line passes through -5,1 and parallel to the line defined by 5x+y=2

Q: Prove the following using the definition of a limit. n - 1 (a) lim n+on+1 (b) lim (2x² − 3) = −3 -…

A: For (a),    limn→∞ n-1n+1=limn→∞ 1-1n1+1n=limn→∞ 1-1nlimn→∞ 1+1n=11=1 For (b),    limx→ 02x2-3Plug…

Q: 38. The polar equation of the curve is expressed as r = 2sin 0 + 2cose. Compute the perimeter of the…

A: I am attaching image so that you understand each and every step.

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A: Above question is solved.

Q: 13T Use reference angles to evaluate sec Enter the exact answers. For the number , either choose…

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Q: = 2 and The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x…

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Q: Sv Evaluate Select the correct response: O 2x² + 15x² + C 52² ²x² +10x³ + C 25³ +2²0 x ² + 3 O 5…

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Q: 1 7. If {F(t)} = (-5)3, find F(-1). (s-5)³ A. es B. 4 2e5 8. Which of the ff. series is convergent?…

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Q: The equation of the tangent line to the curve y=x² +1 at x = -4

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Q: What is the area of AABC given a = 12 inches, b = 24 inches, and m2C = 28³? O 83.125 in.² O93.156…

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Q: 1. f(x√ x² -9]dx 10.

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Q: Q3: Evaluate the following integrate: (chose three only) 1. dx 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: If y= cose* then dy dx 11

A: Solve the given

Q: Question 4 a) It costs $1500 plus $5.00 per bottle to produce the lotion. If x represents the number…

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Q: e) Suppose that W= √√x² + y² + z², x= cos 0, y = sin 0, z = tan 0. dw T Use the chain rule to find…

A: According to our company's guidelines I can only answer (e), since (e) and (f) are not inter…

Q: 04: (chose one only) (3-x x2 a) Find lim, 2+ f(x), lim,-2-f(x) andf (2). b) Dose lim, 2 f(x) exist,…

A: 1. According to question,Given function,fx = 3-xx<22x=2x2x>2

Q: 16 Let x= 3 Part A: Determine the reference angle of x.. Part B: Find the exact values of sin x, tan…

A: Use Trigonometric properties

Q: 19. Find the area in the first quadrant bounded by the parabola y² = 4x and the line x = 3 and x =…

A: The equation of the curves are C1: y2 = 4x ⇒ y =2xC2: x= 1C3: x = 3 To evaluate: The area of the…

Q: 34. Compute the surface area generated when the first quadrant portion of the curve x² - 4y + 8 = 0…

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Q: Find the function p that satisfies the following conditions (assume x>0) p’(x) = 60/x^3 ; p(2)= 7

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Q: Q3. Given the set: (11,13,7,9,14,18,10,13,9) a) Find the five number summary of the data set. b)…

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Q: Eliminate the parameter t to find a Cartesian equation for X = 3-t = Y - 13 - 4t The Cartesian…

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Q: 16. What is the area between y = 0, y = 3x², x = 0 and x = 2? B. 24

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Q: s! = xpε + ₂x7M9+ ₂X†)x]

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Q: Which of the following is the equation of the circle with center C and a point P on the circle, as…

A: Topic = Circle

Q: Let f(x) = 4x + 4 and g(x) = 2x² + 2x. After simplifying, (fog)(x): =

A: To find the value of composition of given two functions.

Q: Proceed as in Example 3 in Section 6.1 to rewrite the given expression using a single power series…

A: Given the expression,∑n=2∞nn-1cnxn-2+∑n=0∞cnxn+2

Q: O 8x² √4-x+ 3 O 8√4-x+ 2(4-x) √4-x 3 *-*-*) J+ +0

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Q: 55. The region in the first quadrant, which is bounded by the curve y² = 4x, and the line x = 4, is…

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Q: For j(x)=3*-¹, find j(x+h)-j(x) h 3x-1(3h) h 3x-1(3-1) h 3x-1(3+1) h ○(x-1)(3+1) h

A: Topic = Functions

Q: Evaluate the limit lim of 02 04 00 of tan(+)-tan() by recognizing it as a derivative of some…

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Q: Evaluate the second derivative of the function below at (1, -2). y² = x³ = x + 1 -

A: To evaluate the second derivative of the function at the given point.