Evaluate sin[2 arccos( -). -30/17 V(33)/17 -240/289

Q: -4x + y = 5 52. 6x - 2y = -9

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Q: Does the sequence {an} converge or diverge? Explain. Find the limit if the sequence is convergent. n…

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Q: Find a number within the interval [-5,5] such that the sum of the number and the square of one less…

A: Let, the number is x. The sum of the number and the square of one less than the number, S=x+(x-1)2

Q: Find the general solution of the equation and the specific solutions within the given interval…

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Q: Evaluate by separation of variables. dB du = u(1 – u²) sec 3 O 2u? + sin 28 = C – (1 – u²)² O 2 sec…

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Q: Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when  r=2.

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Q: Materm tvamare the inte aral:\

A: This question is based on indefinite integral.

Q: how about the equation of the normal line?

A: Apologies for the inconvenience. Here is the solution for the normal line:   From the original…

Q: Find the points of intersection of the graphs of the equations. x² + y? x + 2y = 7 49 (x, y)…

A: As per guidelines, I can answer only one question. Since you have asked for multiple questions, so I…

Q: Evaluate by separation of variables. y = xy? O x(y + C) + 2 = 0 O y(a² + C) + 2 = 0 O (2² + C) + 2 =…

A: Given: y'=xy2

Q: Given f(x) = 1 –(5+ 10x) + (5 + 10x)² – 27 (5 + 10x)³ then f'(x) =, %3D - (5 + 10z) – ( 5 +…

A: f(x)=1-32(5+10x)+94(5+10x)2-278(5+10x)3 Then f'(x)=0-(32×10)+(94×2×5+10x×10)-(278×3×(5+10x)2×10)…

Q: A normal vector to the tangent plane for the surface z = , at the point (1, 1, 1) is: y - Select…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (1, 0,…

A: This question is based on finding equation of tangent plane of function having two variables at a…

Q: Simplify tan(A+ arcsin?). O (2V13)/13 (3 V5)/5 (2 V5)/5

A: Given query is to simplify the expression.

Q: What is/are the critical number(s) of the function S(2) = +4, f(z) :

A: f(x)=x2+4xDifferentiatef'(x)=x2x-x2-4x2f'(x)=2x2-x2-4x2f'(x)=x2-4x2

Q: If it is continuous, there are 3 conditions needed to be satisfied: i. f(a) is defined ii. lim x→a…

A: The three criterias that you have mentioned are for a point. When we check the continuity at a…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) Vw(10, 5, -2) =

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Q: where does this concave up and down?

A: A graph is concave up if f''x>0 and concave down if f''x<0. When f''x>0, it means…

Q: 4. What is the geometric relationship between the two integrals below? et dx, In x dx Evaluate the…

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Q: what is the minimum value of f(x)=3x2-18x+25 a. -2 b. 3 c. 6 d. -18

A: Given  f(x)=3x2-18x+25

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: use the definition  of exact or non exact.

Q: 5. (xe*dx (1+x)2

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Q: Calculate the fluid force F on the shaded side of the triangular plate submerged in fluid with mass…

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Q: VT (2x)[sin (2x²)] cos (x²) your exact-value result. Evaluate dx. Show complete pencil-and-paper…

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Q: 1-cosx The value of limx→0 by using series is 1+x-e

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: This question is based on 3d line equation.

Q: tan(arctan 5) = _____.

A: Since we know that tan(arctan x) = x

Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: 4.

Q: Consider the following. u = -9i – 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Explanation of the answer is as follows

Q: Q5: (a) Let 1 A -1 0 2 and B = -1 2x2 3 2x2 Evaluate A×B (b) Find the inverse of: 1 0 0 0 A = 2 1 0…

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Q: A ball is thrown vertically upward. Its height h feet after t seconds is given by the formula…

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Q: Simplify using either an Addition / Subtraction Formula or a Double Angle Formula, and then evaluate…

A: Solving the problem by finding the value of the expression.

Q: S sin Vx dx

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Q: Solve the following system of PDES. Uzz = 0, Uzy = 0 0, uzy = 0

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Q: II Three graphs labeled I, II, and III are shown above. They are the graphs of f,f', and f".Which…

A: Observe the each curve using slope and increasing decreasing properties.

Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest -5 form.…

A: The detailed solution is mentioned in the step 2

Q: Find the open intervals where the function graphed below is a) increasing, or b) decreasing. 10- 10…

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Q: Solve the following items and show your solutions. c.) Find the general solution and solve for the…

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Q: 6) Answer the following True or False: Let  f(x) be a differentiable function, such that f(1)=−9…

A: The solution is given in the next step.

Q: PROPER

A: We will solve this homogeneous differential equation.

Q: If f(x, y) = 1 then 3(3x–2y) * is given by: | O None of these 4 (3x-2y)3 (3x-2y)3 - (3x–2y)³ 4 -…

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Q: 1. 9. 2

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Q: Find a formula for the nth term of the sequence in terms of n. 5 52 53 54 12' 15' 18' 21' 24 1 for…

A: 112,515, 5218, 5321, 5424,...Numerator:50, 51, 52, 53, 54, ....can be represented as;5n-1, for…

Q: Let p(x) be a cubic polynomial with p(7) 0 and p(14) < 0. What can you say about the number and…

A: In this question we have to find the number and locations of zeroes. Note: As per our policy we are…

Q: Can the Fundamental Theorem of Calculus be used to find

A: We have to check the validity of fundamental theorem

Q: Find the area of the region under the graph of f(x) = 2x² – 4x + 2 on [–2, 3].

A: Given  f(x) = 2x2-4x+2 The graph is

Q: Consider the function Z = 2x2(1 - e ) where x and y are given to be 6 and ln 6 respectively. Find…

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Q: Solve the given differential equation by separation of variables. csc(y) dx + sec sec2(x) dy = 0

A: Solve the given differential equation by separable method.

Q: 1. Evaluate the indefinite integrals: – 2x - | а. 3x*

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Q: If f(x, y) = xe2y + 6xy, then is dydx given by: e2y + 6 등 2e2y + 6 2 O None of these O 2xe2y + 6…

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