A = 1 -5 1 -3

Q: d. lim x-1 X e. lim x³ + +1 →-1 x² - 1 f. lim x→0 x→3 x - 3 6 x². 9 (x + 8) ³ - 2 X

A:

Q: Find the cross product of the unit vectors. jxi -k X Sketch your result. k t -k O k 't

A: Given that , j×i find the cross product.

Q: f 1 - 326² x²(x+1)(x² +21³ dre

A: We have to use the concept of integration.

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Q: If B = exp(r² -2), what is VxB?

A:

Q: 5. Find the equation of the tangent line to the graph f(x)=(9-x²) at the point (1,4). Use a graphing…

A: Given: f(x)=(9-x2)23 at the point (1, 4)

Q: (b) -x X x + y y - 4y + 2z = - - (x, y, z) = 10 Z = 2 z = 1

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Q: 5 4x³-3x²+12 10. Find y = dx

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Q: Τ ΣΚΑ k=0

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: We are asked to find whether the series is converge or diverge

Q: Consider the function f(x) = x² + 2x - 8. (a) Find a simplify: f(C)-f(1) = (b) Find and simplify:…

A: The given function fx=x2+2x-8. We have to find and simplify the expression fC-f1C-1.

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A:

Q: Using the Intermediate Value Theorem, show for the function f (x) = x^3 − 4x^2 + 3 that f (x) = 0…

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Q: Two steps of the Gauss-Jordan elimination method are shown. Fill in the missing numbers. 11-14 95 60…

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Q: The partial fraction decomposition of A) B) D) 1 X+2 E) 1 C) X+2 1 x+ 2 x² + 2. + 1 X+2 + 1-2x (x²…

A: Given;  (3+x+2x2-2x3)/[(x+2)(x2+1)2].

Q: Given the matrix equation: 1 [223] [] -2 4 -18 Which of the following represents the solution to…

A: The matrix equation is given by 13-24xy = -1-18 To determine: The solution of the equation.

Q: Find the volume of the solid whose base is bounded by the circle whose center is the origin, whose…

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Q: 3) A communication signal is given by the function y = 2sin 3t 405 The task is to: a) Derive and…

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Q: n2x–5x2 8x²+2n²

A: We have to find pointwise limit for given function.

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 3…

A: The given curves are: r=3cosθr=1+cosθ  Find the area of the region that lies inside the first curve…

Q: Evaluate sech -1(1/4). (You may enter an exact answer involving ln or rounded to four decimal…

A: The given data is: sech-114 Evaluate  sech-114

Q: K Write an equivalent exponential equation. log 256 4 = 1 The equivalent exponential equation is…

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: A fish population at a fish hatchery, y(t) (t in years), is modeled by the differential equation…

A: Note:- These are multiple sub parts and according to company we can do maximum 3 sub parts you can…

Q: Σ27(x – - 1)³n+2 n=0 (Use symbolic notation and fractions where needed. Give your answers as…

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Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A: To solve the following problem

Q: x-4 Let f(x) = -x-1, h(x) = - 3 Find (f o h)(4). (foh)(4)= (Type an integer or a fraction.)

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Q: Use the graph of y=e* and transformations to sketch the exponential function f(x) = -x + 2.…

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Q: - 22 - 2 -2 (3,-4) that has a positive a component. For the function f(x, y) = find a unit tangent…

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Q: Suppose R '(1) = 2. (a) If f(x) = R(6x), find f'(2) F' (1) = f (b) If g(x) = R(x + 5), find g'(-4).…

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Q: Given an ellipse has foci at (7,-2) and (7,-8) and the endpoints of the minor axis are at (11,-5)…

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Q: Which of the following sequences converge? 5n 2n-1 I. II. III. A en ten (A) I only (B) II only (C) I…

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Q: 2√2x-x² 1. S S 0 0 5√√x² + y² dydx 2

A: Given integral:- ∫01∫02x-x25x2+y2dydx

Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Solution:

Q: cutting

A: A fraction denotes part of a whole. For example: 23 denotes 2 parts out of total 3 parts.

Q: Find the tangent plane to the equation z = = 4y cos(6x - 5y) at the point (5,6,24)

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Q: A projectile is launched from ground level. After t seconds its height in metres above the ground is…

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Q: Let f(v) be the gas consumption in liters/km of a car traveling at velocity v km/hr. In addition,…

A: f(v) be the gas consumption of a car travelling at velocity v km/hr.f(60)=0.05f'(60)=0.0005

Q: 2. Find the inverse of the function. g(x) = = √√2x + 3 x ≥ 3 2

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Q: The elasticity of demand for x = f(p) = 1,875-p² when p = 15 is Banco de palabras: inelastic unit…

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Q: 2. Find the general solution of the differential equation e-ty' - y = 2e-t+et

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have asked…

Q: The partial fraction decomposition of A) C) D) X x+1 x-3 X + B) x² +1 x-3 X-1 2 1 + x² +1 (x−3)² (x²…

A: SOLUTION-

Q: = = 2.3219andlog, y = 2.8074. Given log, a Evaluate log, a

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Q: grapn is giver y 1 X Determine the average rate of change between the indicated points on the graph.

A: From the given graph

Q: Suppose f(x) is a continuous function. Then a function F(x) such that F(x) = f(x) is called: A) the…

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: a) Find dB dp B = P(1 + 100) dB dp dB dr at an assuming r and t are constant. Use lower case…

A: Given:- B=P1+r100t⇒P=initial invested amount ⇒r=rate of interest ⇒B=Amount at time t⇒t=time in years