Use the fundamental identities to fully simplify sin (-2) cos (-2) csc (- S Enclose arguments of functions in parentheses. For example, sin (2x). sin (-x) cos (-x) csc (-x) a sin (a) 8 a

Q: -f=-9i+40j Find: -9f

A: Given vector: To find :

Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

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Q: 2. exp 2x²-8x+3 2 dx

A: Since you are asking the solution of question no 2 only. We are answering only the question 2.…

Q: (a) Consider the first order separable differential equation (2x+3)(y² - 4) dy dx - (i) Find the…

A: Given that, the differential equation is                      (i)

Q: Find the linearization L(x,y,z) of the function f(x,y,z)=√x² + y² +z at the points (5,0,0), (5,3,0),…

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

A: Using differentiation

Q: 5C AND D

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Q: Consider the following integral. Sketch its region of integration in the xy-plane. (a) Which graph…

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Q: If the rate of change of N is inversely proportional to N(x) where N > 0. If N(0) = 10, and N(2) =…

A: This is question of calculusHere function is given We have to find constant term k in this. Using…

Q: Which of the following graphs is consistent with the differential equation dx = x y

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Q: 2. Determine the Cartesian equation of the plane containing these lines: z+2 x-5 z+5 3 and L₂: *5 =…

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Q: 2. Given that p = (5,-2,4), q = (3,-4,-2), and'r = (-3,2,1), calculate the following. c) pxr d) the…

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Q: the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the points…

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Q: Find the first partial derivatives of the following function. s+ 3t s-t f(s,t)=-

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Q: 13. If H = {1, 2, 3, 4, 5, 7, 9, 11) and J = {1, 2, 3, 4, 6, 8, 10), then n(HUJ)= a) 4 b) 11 c) 15…

A: Note:Since you have posted multiple questions we will solve the first question for you. If you want…

Q: ) An object is pulled with a 5 N force at an angle of 30° to the horizontal. Find the horizontal and…

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Q: Find all the second order partial derivatives of g(x,y)=x*y+ sin (y) + 3y cos (x). ởg dx ||

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Q: dQ Use the Chain Rule to find where Q=√√4x²+4y² + 2z², x = sint, y = cost, and z = cost. dt 7 dQ dt…

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Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: Use the Chain Rule to find dt where z = x cos y, x=t, and y = 6t²

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Q: If an object is moving with v(t) = 3 cos(t) and the position X(0) = 1, what is the position of the…

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Q: Your answer is correct. Use sigma notation to write the Taylor series about = ro for the function.…

A: The given function is lnx, x0=1

Q: 3n (c) 201 n=1 Vn

A: To test the following series for convergence.

Q: Let f(x) = In(x) and g(x) = log2x. For all 0 g(x) O True O False

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: 4) Find vector and parametric equations of the plane that contains the two intersecting lines…

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Q: 6. Find the limit or explain why it does not exist (and if it is too). √16x4+7x 8x² +5 (i) lim 818

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Q: for what value of the number k does the function f(x)= (1+kx+x^2)e^x have f'(0) =3

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Q: Questions #8 to #12 pertain to the accompanying Venn diagram. 8. If n(AUB) = 40, what is the value…

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Q: 1. Complete the following analysis for the function f(x) = = Note that the first and second…

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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: 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: Find the vector equation of the plane that contains the parallel lines [x, y, z]= [0,1,3] + [-6,…

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Q: 1. Indicate if each statement Is True or False. Write the word True or False not T or F. a) b) C) d)…

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Q: 12. A small airline company has a fleet of 30 planes. The probability that a particular plane will…

A: This is question of probabilityHere we have to find probability of given questionFurther calculation…

Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by x²+y-4=0 and…

A: To find the volume of the solid S generated by revolving the region R about the line x=-2, we can…

Q: f=i-j g= 12i+ 3j Find: -4f-10g

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Q: Find all the second-order partial derivatives of the following function. h(x,y) = 4xe + 7y +5

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Q: Find the value of c such that the line y = C = x + 3 is tangent to the curve y = c√x.

A: To find the value of  such that the line  is tangent to the curve .

Q: S sin x cos²x+cosx dx

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Q: Using the change of base formula, log, 10=7 log log(10) O In(20) O A h (10) O bg (10) log

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x³+y³…

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Q: (b) Consider the first order linear differential equation dy Y + dx x-1 = 2 (i) Find the integrating…

A: Consider the first order linear differential equation.(i) To find the integrating factor for this…

Q: Solve the differential equation with the given initial condition. sin x y + 8' y = dy dx = with y(0)…

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Q: Find the slope of the curve y = cos The slope of the curve is (Type an exact answer.) ¹x at √3 T 2'6…

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Q: 7. Given f(x) = ax² + bx + c, determine the values of a, b, and c if: f'(x) = 6x + 3 and ƒ(2) = −1.

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Q: A can is filling with water at a rate of of r(t) = t² If the can was empty at t = 0, what formula…

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4. 2 #…

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Q: 2 Determine and classify the critical point(s) for the function g(x) = x²(x − 3)²³.

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Q: For the function y = 3x², find the average rate of change of f (x) on the interval [1,4]. 20 15 O 5…

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