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Q: Determine the value of h such that the matrix below is the augmented matrix of a linear system with…

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Q: Find the indefinite integral and check the result by differentiating. 5x (5)dx S₂5x (5)dx=

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Q: In x (1+In x)² 1. S = dx

A: In this question , we will integrate .

Q: Find the magnitude and direction angle for each vector. • 431-46j (5.-6) 6) RS where R=(3,-1) S=

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Compute the following integrals. a) ¹₂x²-1]dx

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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: Let f(x) = In(x) and g(x) = log3x. For all x>1, f(x) < g(x) O True O False

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Q: Find the inverses of the matrices in Exercises 39-42, if they exist. Use the algorithm introduced in…

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Q: Let f(x, y) x + 4y 2¹+4 I Evaluate f(0, 1)

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Q: x²-49 X-7x²-7x 2. Evaluate lim

A: To evaluate the following limit.Note: Since the student has posted multiple questions and does not…

Q: Use the chain rule to find z = sin(8) dz дz and əs at r = st, 8 = s³ + ³

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Q: 1. when the a value is a fraction between 0 and 1, then the graph is compressed true or false 2.…

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Q: qual length, and let c₁ = 0.5, c₂ = 1.4, and c3 = 2.5.

A: Formula for the Left Riemann sum is where

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

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Q: The value of g 28 is -2.269. True False

A: The expression given is,

Q: For the function g whose graph is given, evaluate the following limits, if they exist. a. lim…

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Q: Find the area under the graph of the function over the interval given. y = 2x - x²; [0, 2]

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Q: Evaluate. Assume u > 0 when In u appears. # S (In x) 4 dx X

A: Given :- To Evaluate :- The given integral.

Q: 3. Differentiate and simplify in fully factored form. a) f(x) = (1+x²2) 3 b) y = (3x² + 4)²(3 + x³)5

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Q: Points 2₁ and 2₂ are shown on the graph. 5 2 -9-8-7-6 -5 -4 -3 -2 -1 -1 -2 -5 -7 Imaginary Axis 21…

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Q: How is the product of a complex number and a real number represented on the coordinate plane? When 6…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(4,0,4) on the…

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Q: The terminal ray of angle drawn in standard position passes through (2, -3). What is the value of…

A: given the terminal ray of angle  drawn in standard position passes through (2,-3)

Q: g(x) = 4x3 - 4x + ) = (4x³. 18/5 x2 4

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Q: Analyze the following function with respect to its intercepts, asymptotes, turning points, and…

A: ,,

Q: If the number of fruit flies F increases at a rate that is proportional to the number of flies…

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Q: 4. Find the local extrema for the given function below. No graphs. f(x) = x + ln(x² + 1)

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Q: 5. Let G(x) = = = f* tan-¹(s) ds x2 Find G'(x)

A: Fundamental theorem of calculus

Q: Find the derivative of h(x) 3 4 sin x COS X sin x COS X 2 COS X 1+ sin x - 3 cos²x (1 + sin x)³ 2…

A: To find the derivative of .

Q: 10. The position of an object moving in a straight line is given by: S(t) = -2t³ + 5t² - 10t +20 (S…

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Q: Express the function F in the form f o g. F(x)=√x + 6

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Q: Thanks for answering. That one was correct . Please could you also answer the second one?

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Q: First make a substitution and then use Answer: integration by parts to evaluate the integral [2 sit…

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Q: 21. a) Evaluate the following limits. Show proper steps. 8x²-2x-3 2x+1 a) lim x→→ 2 2x x-0 √2x+1-1…

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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: j(x) = x=5 X X 9. j(5) = j(x) 10. lim j(x) as x->5 = 11. j(0) = 12. lim j(x) as x->0 from the left =…

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Q: 5) Find the Maclaurin series for the function ex

A: Consider the given function .To find the Maclaurin series for the given function.

Q: a. Find the arc length function for F(t). s(t) = b. Find the arc length parameterization for r(t).…

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Q: Evaluate the following: To evaluate the limit of the expression lim(x,y) →(0,0) (xy + 1)/(x^2 + y^2…

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

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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: Find the inflection point given the function F(x) = f e-t² dt. No graphs.

A: Given function: To find : Inflection point of F(x)

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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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: Suppose Find: (a) (fg)'(5) (b) (f/g)'(5) = (c) (g/f)'(5) = = f(5) = 5 g(5) = 8 f'(5) = 3 g'(5) = 4

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Q: Evaluate the integral. 6² tep 1 30 6x² + 7x + 1 [² The integrand of x6x² + dx 30 6x² + 7x + 1 x7 x +…

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Q: Find the average value over the given interval. y = 4x + 4; [3, 7]

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 9…

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Q: dx [(x - gx)] dar [21/a>

A: To differentiate the following functions.(i) (ii)

Q: Which slope field is associated with the differential equation given below? dy dx = 1-y Choose the…

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