Given the following vectors A=-2a-8a +5a y B=3a +4a-a y X C=5a +4a +6a_ y Evaluate BX(AXC)

Q: A. I = Find the volume of the region enclosed by the cone z = B. I -1=(1-1/2) ²/2 ² 3 2π 23 c. I =…

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Q: 10 π/2 9 cos(x) sin(sin(x)) dx

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Q: Evaluate the surface integral f(x,y,z) ds using a parametric description of the surface. S f(x,y,z)…

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Q: (a) lim f(x) = 118 Given the graph of f (x) above, find the following limits. (b) -6 lim f(x) = -4…

A: From the graph of the function, f(x) grows without bound to either sides.

Q: Given an interest rate of 2.5% compounded continuously and starting principal of $10000, determine…

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Q: 1 cos(x) [sin r]³dx. 1) Use the Substitution Method to evaluate the integrat To be clear, the lower…

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Q: Solve the system. State whether the system is inconsistent or has infinitely many solutions. If…

A: To solve the given system of equations

Q: Let C₁ be a curve defined by the vector function R(t) = √2 coś tỉ+ sin tj+ sint k a) Find the moving…

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Q: 2. Find the moment of inertia about the x-axis of the lamina occupying the part of the disk x² + y²…

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Q: Solve the system. State whether the system is inconsistent or solutions. has infinitely many If the…

A: The objective is to find the solution of the linear system.

Q: At what points is the function y = x + 4 2 x -5x+4 continuous? Describe the set of x-values where…

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Q: 3. Find the equation of the tangent line to the graph of x²y² + 6xy = 5175 at the point (-5, 15).

A: To find the equation of tangent line.

Q: Question 3.4. Determine the following integrals 2x-3 (1) 2² + 3x - 10 dz

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Q: Let ū = (3,1), v = (-8,4), and w = (-6, -2). Calculate the value of each expression. d) |ū+ v e) |ū|…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: The owner of a cattle ranch would like to fence in a rectangular area of 2000000 m² and then divide…

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Q: Solve for general solution of the given differential equation using method of solution for DE with…

A: To solve the given differential equation

Q: The base x of the right triangle in the figure increases at a rate of 7 cm/s, while the height…

A: NOTE: Refresh your page if you can't see any equations. . the length of the base is increasing at a…

Q: Find the area of the shaded region. x = y²-6 y (-27/4, 9/2) - 10 -5 x=3y-y² y 00 4 2 -2 Y X

A: Let,   f(y)=3y-y2 and  g(y)=y2-6y The end points are y=0 and y=9/2 So, the area is given by:…

Q: J va E z = 14 - 2y. Round your answer to four decimal places. Find y dV, where E is the solid…

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Q: Which limit should appear in the late stage of your calculation? Use image as reference

A: We will find the required.

Q: Find the following limit. 2x - 4 lim 2 x→∞ √9x² +3 lim X→∞ 2x - 4 2 √9x² +3 11 (Simplify your…

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Q: Use cylindrical coordinates to find the volume and center of mass (assuming constant density) of the…

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Q: Find lim f(x) and lim f(x) for the given function and value of c. x→c+ X→C f(x) = (x + 8) |x +4| C =…

A: The given function fx=x+8x+4x+4, we have to find the limit of f(x) at x=-4.

Q: 2. Let R be a vector-valued function defined by a) Find dom R. 1- cos t t + 1,e-¹) t R(t) = { j-k if…

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Q: Find for the following by implicit differentiation dy dx 14x55 cot y = y³ - 14x

A: Given Equation:- 14x5-5coty=y5-14x

Q: Find the slope of the graph of the function g(x)= at that point. 4x at (5,10). Then find an equation…

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Q: Calculate the derivative indicated. Answer: d²y dx² x=6 where = 1/1 +8₂ y =

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Q: 2. Find implicit dy dx at(5,3) for the following by differentiation: x¹5 - y² = 34

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Q: the graph of polar function r = 2+3 cos 0 on a polar plane.

A: We have to draw the graph of the given polar function in the polar plane.

Q: The function f(x) 2x³ local minimum and one local maximum. This function has a local minimum at x =…

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Q: 12. Use the Comparison Test or the Limit the series is convergent or divergent. Turn in at least two…

A: Question-12(a) . NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: A particle moves with position Function S= +"-41³-20t+ 20+ where t=0

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. f(x)=x 4…

A: We are required to find the absolute maximum and absolute minimum value of the function f(x)=x13 in…

Q: Find the area bounded by the given curves. y = x² - 7 and y = 8 - 14x² square units

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Q: [xexdx

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Q: Find the maximum and minimum values of the function f(x) = n(x) on the interval [1, 6] by comparing…

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Q: Given the vector field G a. G at Q b. The scalar component of G at Qin the direction of a = c. The…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Partial Fraction decomposition for the rational expression 2 X² +8X + 16 12

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Q: What happens to the b+d on the bottom of the fraction?

A: We have to differentiate w.r.t. T  T.cb-da-adTb+d

Q: Find the indefinite integral. (Use C for the constant of integration.) 1e³x dx. 3x

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Q: Find the derivative of the function. √5-5 √5 +7 f(s) = f'(s) =

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Q: Determine the first five terms of the Taylor series that is generated by: f(x) = (1 + 4x2)-1/5 at x…

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Q: Solve the DE in 3 ways: (Using 3 methods) (2y³ – x³) + 3xy²y'=0

A: We can find solution of the differential equation.

Q: π Find the linearization L(x) of f(x) = cotx at x = 4 The linearization is given by L(x) =. (Type an…

A: To find the linearization Lx of fx=cot x at x=π4.

Q: 6. Specify the type of the differential equation y'= 1+ (y/a)+ (y/a)2 and find the general solution.…

A: Let's solve given diffential equation.

Q: = Let f(x) = 1 5+2x and point P = = (-1₁.-31). a. Use the following definition of the slope of the…

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Q: A spring mass system consists of a spring with spring constant k and an attached block of mass m is…

A: 07:130M   3.00 KB/S   vo LTE   41   (94   D   A   rtal A spring mass system consists of a spring…

Q: b. State the domain and range of the function g(x)

A: Topic:- calculus

Q: Investment A is currently worth 80,000 and is compounded continuously at a rate of 7%. Investment B…

A: Investment A is currently worth 80,000 and is compounded continuously at a rate of 7%. Investment B…