1. Consider the following vectors a = [1, 3, 2] & b = [-2, 2, 1] a. Draw each vector on a grid b. Determine the cross product between them

Q: Describe all of the transformations applied to the parent function f(x) = x² to sketch g(x) = 5(x +…

A: We have,   f(x) = x2    g(x) = 5(x+3)2 - 2

Q: if f'(a) exists, then f is continuous at x = a. True False

A: Function f differentiable at x=a

Q: 6. The function f(x) is defined by the graph. State the value of each: e) lim f(x) = x →4 f) lim…

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Q: For which of the following graphs, the limit exists? I. Graph of f Only (III) (I) and (III) only…

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Q: 3. Determine vector and parametric equations of the plane with Cartesian equation 3x - 2y +z + 6 =…

A: Cartesian equation of plane is

Q: Using the change of base formula, log47 = ? O log (7) log (4) O h(4) h(7) Olog (4) log (7)

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Q: A particle moves along a coordinate axis. Its position at time t is given by p(t) = -t³ + 2t² - t -…

A: Solution-The position function is given by,We know velocity function is given by,

Q: 9. Find the points on the graph of y = to the line 28x + 50y - 17 = 0. 7x x-2 where the slope of the…

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Q: Your answer is incorrect. Calculate the integral approximation Se for S₂ 75+1 dx. S6 = .01682

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Q: 8. Determine the equation of the tangent line to the curve y = -x² − 3x + 4 at x = 2.

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Q: Given f(x, y) = 6x³ - 4xy² + 5y, find fzz(x, y) = fry(x, y) =

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A: The equation of the line passing through the point (a,b) and slope m is given byy - b = m ( x - a)

Q: Determine the Cartesian equation of the plane containing these lines: y+10 z+2 L₁: = +70 = 23² and…

A: Normal vectorof the plane would be perpendicular to both the lines L1 and L2. So, parallel to L1xL2.…

Q: 2) Where on the curve f(x)= 1 1 + x² does the tangent line have greatest slope?

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Q: Find r(t) and v(t) if a(t) = tk, v(0) = 7i, r(0) = 4j. (Use symbolic notation and fractions where…

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Q: Discover all unit vectors that have an angle of T/3 with the positive section of the x-axis.

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Q: Suppose that f(2)=-4, g(2) = 3, f'(2) = -1, and g'(2) = 5. Find h'(2). (a) h(x) = 3f(x) 2g(x) h'(2)…

A: Given that  and .To find the derivative value of .Derivative formula:

Q: O с 5. Given the function below, what would be the domain of the function's inverse? 1/2 -0.5 ≤x≤0.5…

A: Domain of a function f(x) is defined as the set of valued of x for which the function gives a…

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: Using differentiation

Q: e) Plane that is parallel to the xy-plane that contains the point A(2, 1, 3) (ca

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Q: Rewrite the following equation with the variables separated. y' = 6xy² + 2xy + 6y² + 2y

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Q: Find all the second-order partial derivatives of the following function. w=5ye3x² - 4y

A: w= 5ye3x^2-4yWr have to find all second order partial derivatives

Q: Find the Jacobian for a u²+ 8uv and y = 6uv². Jacobian (equation format) Submit Question

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Q: 1. Find the limits. Show your steps. 1+3x³ xx 2 + 4x + 6x³ (a) lim (b) lim (₁ x18 - 2x) √4x²+x-

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Q: 5C AND D

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Q: Apply the midpoint and trapezoid rule to the following integral. Calculate the approximations and…

A: Let's solve the integral using midpoint method.So we divide interval [1,5] into 8 subinterval of…

Q: For what value of the number k is the following function continuous at r=2 if x 2 f(x) = = (A) 3…

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Q: State the domain for the function f(x) = log6(-x + 5) + 4: O (-00, 5) (-5,00) O (-∞0,00) O (-00,-5)

A: f(x)=log6(-x+5)+4Find the domain.

Q: What is the smallest value of the number n so that the graph of the following function have a…

A: f(x)= (-2x4+1)/(6xn-3x2-1)We have to find smallest value of n for f(x) has horizontal asymptotes

Q: u = -9i+4j Find: -5u

A: u=-9i+4jFind -5u.

Q: Express the function G in the form fo g. (There is more than one correct answer. The function is of…

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Q: y= dy xy dxx + 1 with y(0) = 6

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Q: Use the graph to determine the domain a -16 -12 -8 X=-3 16- ¹12- 8- 12- y = 5 8 i x = 3 12 X 16

A: The graph of the function isTo determine: The domain and the range of the function.

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°? Show how to…

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Q: Consider the curve given by x³ + y³ = xy² + 1. Find the slope of the tangent line to the curve at…

A: given

Q: Suppose lim f(x) = = x→2 1/2 4 -5, find lim x→2 x²| ƒ(x) + 6 x - 1

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Q: Determine all possible values of 0, 0≤0 ≤ 2π, if sin = √√3 2 cot 0= -√√3

A: Note: Due to guidelines, I can solve only the first question

Q: The per capita growth rate of a population of cells varies over the course of a day. Assume that…

A: The per capita growth of a population of cells varies over the course of a day. Assume that time  is…

Q: 4. x-6 3 a) Determine the point of intersection of the two lines. b) Determine the acute angle…

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Q: 15-20 Use the method of cylindrical shells to find the volume of the solid obtained by rotating the…

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Q: 1. Solve for x. 5 4 2x + ²/2 = 7 - x. 9 3

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Q: if f(x)= xe^x, determine f^(400) (x)

A: To determine the 400th derivative of the function f(x) = xe^x, we can follow a systematic approach…

Q: Use a graphing utility to (a) plot the graphs of the given functions, (b) find the approximate…

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Q: Given the equation 3x³ + x²y-2y³ = 0, evaluate function of x. 38 Assume that the equation implicitly…

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Q: the distance traveled by a particle in t seconds is given by s(t) =t^2+4t. what is the particles…

A: Given that, the position function for the distance traveled by a particle in t seconds is s(t) = t2…

Q: The matrix on the right results after performing a single row operation on the matrix on the left.…

A: In the given matrices R2 and R3 are same. We have to perform row operation to change row R1 only.

Q: 4. A translation service has 74 employees. There are 45 employees who speak French and 22 employees…

A: Let A be the set of employees speaking French and B is the set of employees speaking Mandarin…

Q: dy dx = (y +9)(y-9), where y(0) = 8 The partial fraction constants in the partial-fraction method…

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Q: You have the following vector : v= You must determine the direction and length of it. You must also…

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Q: We have determined that A = 36 and B = -6. Therefore, we have the following. A 6x + 1 30 (6x + 1)(x…

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