Find the maximum and minimum points and the intervals where the function increases and decreases for the following function F(x)=√x² +81

Q: 2. Evaluate the following limits using algebraic techniques and limit theorems. x+1-2 (a) lim x→3…

A: To evaluate the following limits using algebraic techniques and limit theorems.a limx→3 x+1-23-xb…

Q: 13. a) Mister G was going up the stairs and noticed that Kate, whose eyes are 135cm above the…

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Q: 17. Determine the tangent to the curve 3y = x³ at (3,3) and calculate the area of the triangle…

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Q: A science geek brews tea at 195 "F, and observes that the temperature T() of the tea after t minutes…

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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: e-In a For sketching the function y = 42 determine the following " x-intercept y-intercept vertical…

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Q: lim- x-0 X

A: Given :limx→05x

Q: Express the lengths a, b, c, and d in the figure only in terms of the trigonometric ratios of 0. The…

A:

Q: 39. The curve has an equation of x² + y2 = 25. The area on the first quadrant of the curve is…

A: Given curve x^2+y^2=25.

Q: 1. 3- 2x 2+4x² dx

A: According to the guidelines in case of multiple questions, we are only allowed to solve first…

Q: Determine the intervals over which the function shown below is continuous. Enter your answer in…

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Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -5 + 5/ In(z) = n = 0, ±1,…

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Q: Let e 2* = 2 find dy dx at x = 1

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Q: b) x= 2х-3у 2x+3y

A:

Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: 4. To integrate using trigonometric substitution the functio dx -2x we let x = sec 8 - 2

A: We wil use substitute method

Q: 25. Find the area of the curve r² = a²cos 20. B. a A. a² C. 2a D. a³

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Q: Solve the following limits by algebraic method and by the corresponding theorems √9x +4-2 a) lim…

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Q: 2. Find the surface area of the solid generated by rotating the region bounded by the graphs of f(x)…

A: In this question we have to find the surface are of the solid region generated by rotating the…

Q: 8. f sec² (3x - 1) dx

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Q: Express In(z) in the form a + ib. (Simplify your z = -ei In(z) n = 0, 11, 12,..

A: Given complex number  z=-ei

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: 4. Find an equation of the tangent line to the curve of f(x) at the given point. 2x + 11 (a) f(x)= =…

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Q: Which of the following is the graph of (y-2)² = −4(x - 2)² 12 5 n 24 X + 3 24 CV 9 T ny 7 T O & 7 6…

A: (y-2)2 = -4(x-2) compare with equation   (y-k)2 = – 4a(x-h) so we get   k = 2 h = 2 a = -1

Q: Given the following functions, evaluate each of the following: f(x) = x² + 7x + 10 g(x) = x + 2 (ƒ +…

A: Put value in function

Q: Evaluate the function below from x = 2 up to x = 4. S((1+x) √æ -)dx All associated angles are in…

A: To evaluate the value of function given from x=2 to x=4.

Q: What value(s) of 6 are an appropriate choice when proving the following limit? lim (x² + 5x) = −4…

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Q: -4 -3 -2 3 2 -1 -2 -3- ● 1 2 3 نیا X

A:

Q: Question 3 In sketching y O (0,0) = In (x-2)² exa None of the choices no intersection (3, 0) O (0,…

A: Given

Q: 1. Find the arc length of the curve f(x) = 3 4 (x + 2)2 on the interval [0, 4]. 3

A: Find the arc length

Q: ². I = fő fő fő (x + y + z) dx dy dz

A:

Q: A = 2 Then: .For the following matrix and [1 -31 21-3³1 = [² 31 B = L6 L4 0 3 -1 c=1³₁ 11 C (A.B) +…

A: We need to solve matrix problem,

Q: 5. A tank is full of water. Find the work required to pump the water out of the spout. Water weighs…

A: A tank is full of water. Find the work required to pump the water out of the spout .water weight is…

Q: Question 10 Find the partial derivative of z with respect to x (8) f ах (22−y) = Əz C dz 2(x-y) 2²…

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Q: In general, the sketching of the trace of any function can be facilitated by dividing the plot area…

A: For given statement

Q: Find the slope of the secant line between x = 3 and x = 4 for the function f(x) = −x² − 2x + 4.…

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Q: I It ex 1-ex dx

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Q: 24 १. शुक dx +3

A: The given integral is: I=∫x4x5+33dx    ...1 As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: Use basic identities to simplify sin³ x + cos² x sin c. Enclose arguments of functions in…

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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: Sarge invested $10,000 per year in his RRSP each year for 20 years. If interest is 496 compounded…

A: Given problem:- Sarge invested $10,000 per year in his RRSP each year for 20 years. If interest is…

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: Evaluate the first derivative of the function below at (1, -2). y X - - + + + 1/4 = 5 y x

A: Given: xy+yx=5   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Power Law: ddxxn=nxn-1

Q: We are trying to prove the following limit. lim (-3x - 2) = 1 x→-1 1 Suppose that we have found a…

A: We are trying to prove the following limit.limx→-1-3x-2=1Suppose that we have found a value of ?…

Q: Evaluate the function below from x = 2 up to x = 4. ex S(7+2)dx All associated angles are in…

A: We need to evaluate integral.

Q: Given z = (e-2) (siny), find dr -2x O-2 e 2² (cos y) O-2 e 2 (sin y) O-2 e 2 (sin y) +e-2 (cos y)…

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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: rchasing Enormous State University's Business School is buying computers. The school has two models…

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Q: f(x) = -3 sin x [0, 3T]

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Q: The gradient of the function 2x1 + x2 − 3 evaluated in x = (0 0 0)² is: OA. Vf= (1 2 3)T OB. Vf=(0 0…

A: ∇f =i∂∂x+j∂∂y+k∂∂zf