Sketch the coordinate axes and then include the vectors u, v, and u× v as vectors starting at the origin. u=i+j v=j-k

Q: (a) Use a graph of Px) = (1 - =) * f(x)

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Q: Find an expression for the slope of the se- cant line through the points P(3, g(3)) and Q(x, g(x))…

A: We know slope of secant line passing through the points x1,y1 and x2,y1⇒m=y2-y1x2-x1

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Q: Use the half-angle indentities to find the exact value. sin 112.5° O 2-√2 2 O /2+√2 2 0-1-√2 √2+√2 2

A: Given query is to find indicated function.

Q: Decide whether the integral is improper. Lin In(x³) dx O proper O improper Explain your reasoning.…

A: NOTE: Refresh your page if you can't see any equations. . if the upper and lower limits are finite…

Q: Find the equation of the sphere passing through P(−8, 7, 4) and Q(6, −1, 5) with its center at the…

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Q: (4) An item cost to to be produced and is to be sold. If overhead is $3000, how many item will…

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Q: كاكا Simplify the expression (32)2 2j)x(2i +6k)

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

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Q: A missile is fired from ground level with an initial velocity of (0) - (1000, 1400, 368) measured in…

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Q: The equation r(t)= √3 2 +(21-182²) 14 jis the position of a particle in space at time t. Find the…

A: Given that position vector r(t)=32ti+12t-16t2j

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Q: Evaluate the limit limx→∞ −1 x

A: To evaluate the limit of the given function .

Q: (a) Write out a system of 3 linear equations involving constants A, B, C (but not involving x) such…

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Q: Find c such that the function - 6 x ≤ c f(x) 22 x > c is continuous everywhere. C = x² {3²2 8x

A: The function is given by fx = x2-6, x≤c8x-22, x>c To evaluate: The value of c such that the…

Q: Find the area of the following triangle T. The vertices of T are A(6,7,2), B(8,17,4), and C(6,8,3).

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Q: Determine the order of the following matrix:…

A: If a matrix is of order m×n then the matrix has m rows and n columns.

Q: Find parametric equations for the line through the point (0, 1, 2) that is perpendicular to the line…

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Q: For the function, find the partials f(x, y) and f(x, y). f(x, y) = 5x4 - 7x³y² - 8xy + 8

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Q: Find an efficient formula in terms of m and n for the following sum expressed in sigma notation:…

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Q: Find the second order derivative ƒ"(0) of ƒ(x) = 2x³ + 3x² − x + 1.

A: Solution: f(x)=2x3+3x2-x+1 To find first derivative differentiate with respect to x

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A: here  we have graph of a function f over interval ( -7 ,7 ) then we have to find the graph of…

Q: Sp -8 8 et (3 + ex) 2 dx

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Q: uring each cycle, the velocity v (in meters per second) of a robotic welding device is given by 8 =…

A: Given query is to find the displacement function.

Q: Solve the initial value problem for r as a vector function of t d²r dt² Differential equation: =-20k…

A: To solve the initial value problem for r as a vector function of t.Differential equation:…

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Given differential equation is dydx=y2+yx2+x

Q: construct your own expression and formulate and the inverse question corresponding it

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Q: h. 2 2 √(x)= (²x²+1)* X 3x³

A: Given query is to find the derivative of the function.

Q: 3. Let f(x)=x²-1. (a) (b) f(1+h)-f(1) h Simplify the expression Use part (a) to calculate the slope…

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Q: f(a+h) Construct a right triangle whose hypotenuse is the line segment (a, f(a)) and (a + h,…

A: NOTE: Refresh your page if you can't see any equations. . point J and K are

Q: Find the area of the parallelogram whose vertices are given below. A(0,0,0) B(4,3,5) C(6,1,5)…

A: To find the area of the parallelogram whose vertices are given below. A0, 0, 0, B4, 3, 5, C6, 1, 5,…

Q: Find the area of the triangle whose vertices are given below. A(0,0) B(-6,5) C(5,1) The area of…

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Q: Consider the following function. Select the number of points of discontinuity for f(x). Then enter…

A: NOTE: Refresh your page if you can't see any equations. . there is no factor that can be canceled…

Q: QUESTION 10 Given a system model what is/are the dominant system characteristic root(s)? d³x d²x dt…

A: Please see the below picture for detailed solution.

Q: For f(x) = 8x3, construct and simplify the difference quotient f(x+h)-f(x) h (Type in descending…

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Q: **************... For the function, find the second-order partials fxx fxy fyx and fy f(x, y) =…

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Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

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Q: 5. Using the definition of the derivative, find the slope of the tangent to the given curve at the…

A: (a) y=2, (1,2)from defination of derivatives f'(x)=limh→0f(x)-f(x+h)h

Q: if x 7 Show that f(x) has a jump discontinuity at 7 by calculating the limits from the left and…

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Q: Which of the following functions are solutions to the 1-D heat equation? Ut = guxx Ou= 2-36t cos(3x)…

A: Given: We will be checking the answers one by one. For : Here,                ut=∂ ∂…

Q: Find the exact value. tan0 = -√√3 where 270 ≤ 0 < 360 Find: cos 20 O √3 O 2√3 3 NICO O V 0 - 12/1

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Q: Find the limit. lim (cos x + sin x) x → π/3

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Q: The graph of f (x) is shown in Figure 2.18. Which of the following are true for f as shown in this…

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Q: Let g(x) be a continuous function with a domain of all real numbers. (a) If the point (-7, 12) is on…

A: g(x) be the continuous Function. Domain : Real Number

Q: Find the values of x for which the given function is concave up, the values of x for which it is…

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Q: Find the length and direction (when defined) of u xv and vxu. u = -3i-4j-3k, v=2i+2j+ 4k

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Q: Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether…

A: Given:  Aim:  To spot extrema (local or absolute) .    Question: