Prove that lim(4x2 – 25) = -9 x-2

Q: 9 (x) g' (x) g (x) g (x) 9' (4) -3 1 2 -4 2 16 Selected values of a function g and its first four de...

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Q: 4) Find 2 5(5-3)

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Q: For items 5-7: Given that f(x)dx = 3 and g(x)dx = 4, evaluate 5. [4 f(x)– 3 g(x)]dx А. 12 В. О С. 24...

A: Let's find. 

Q: entiable at x = 1. What is f_(1)?

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Q: the

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Q: The graph of f is shown below on the TY-plane. Explain why y = 0.8(r – 1) +0.4(x – 1)² + 0.1(r – 1)3...

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Q: In the following, assume all matrices involved (and their combinations) are square and invertible. S...

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Q: Find the area of the triangle with vertices P(1,5, -3), Q(0,0,0) and R(3, 4, 1). | NOTE: Enter the e...

A: given vetrices P(1,5,-3), Q(0,0,0) and R(3,4,1)

Q: Select the basic integration formula you can use to find the indefinite integral. dt du 이 du a" du d...

A: We have to select integration formula for given integration.

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of in...

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Q: Let f(x)= (2x-3)/(x-3). Find the interval(s) where f(x) is concave up, and the interval(s) where f(x...

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Q: Find the differential dy of the given function. (Use "dx" for dx.) a. y = (x+2)/(4x-7)   dy=   b. y...

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Q: A sequence is a list of numbers written in a definite order: a1, a2, a3, A4, called the •, An, An, ....

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Q: Pollution levels in a lake have been modeled by the equation x = 0.09 + 0.16e-0.38t where x is the v...

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Q: Consider f(x)=tanx a. Find the linear approximation of f(x) at a=pi/4 b. Use this to estimate tan(...

A: This question can be solved using the formula of linear approximation.

Q: du 17. t = t² + 3u, t> 0, u(2) = 4 dt

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Q: - Trigonometric Integrals "/3 sin3esec20 de

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Q: 8. The graph of the function y=-x(x- 1)(x+2) begins in quadrant 9. The graph of the function y =x(x-...

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Q: Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 5,000 + ...

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Q: 4. Find the volume of the solid obtained by rotating the region bounded by y = e", y = 0, x = -1, x ...

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Q: 12) Find the volume of the solid bounded by x² +y² = 4 and z=x+y in the first octant.

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Q: Select the basic integration formula you can use to find the indefinite integral. 6. dt du Va? - u? ...

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Q: Decide whether the sequence can be represented perfectly by a linear or quadratic model. 8,14,24,38,...

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Q: Evaluate , (5"3-). Write fractions as an improper fraction a/b. %=D1 fit does not converge, write "I...

A: We will evaluate the series. 

Q: duct z,z2 and the quotients 1 and (Express your answers in polar form.) Z2

A: We will solve the problem on complex numbers. 

Q: 14. x = -y + 4y, x = 0 3 1 1 2 3 2.

A: Consider   

Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v orth...

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Q: If the base b of a triangle is increasing at a rate of 3 inches per minute while its height is decre...

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Q: Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying ...

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Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh x) (tanh 2+v9) + 2 csc-1 (tan(y + 1)...

A: Implicit differentiation

Q: 1. It is the process of finding the set of all functions whose derivative is known. B. antiderivatio...

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Q: .... Find a set of parametric equations of the line with the given characteristics. (Enter your answ...

A: Given:      Point: ( 1 , 2 , 3 )    Parellel to xz - plane     Parellel to yz - plane

Q: Write an equation for the polynomial graphed below 5+ 4- 3+ 2 1 -5 4 -3 -2 1 2 3 4 5 -3 -4 -5+ y(x) ...

A: topic- polynomials

Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

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Q: A bicycle with 20-inch diameter wheels is traveling at 14 mi/h. Find the angular speed of the wheels...

A: Given

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: Solution: a)  Given the future value S=Pe0.12n  

Q: -3x Evaluate (x" x" +T) dx Answer: Submit Answer

A: Given: I=∫xπ+π3xdx   We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+...

Q: Suppose that a particle moves along a straight line with acceleration a(t) = 5 – 2t , where 0 <t < 2...

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Q: A complex numbers is a symbol x + jy, where x and y are = -1. numbers and i^2 rational O real O irra...

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Q: let z- 57 dy .. dy By chain Ruie

A: The objective is to find the second derivative using chain rule.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the graphs...

Q: 5. A construction company is to transport 144 tonnes of stones to stone sites X and The Company pays...

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Q: The spread of a virus can be modeled by the following function where N is the number of people infec...

A: Given query is to find when will spreading be maximum.

Q: If 69 + 5 f(x) + 2x²(f(x))³ = 0 and f(1) = -3, find f'(1). f'(1) =

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Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 91...

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Q: 1 1 The sequence that begins . could be 3 4 5 6' ... a Fibonacci sequence. an alternating sequence. ...

A: Given: 1/2,1/3,1/4,1/5,1/6....

Q: If y = In(6 + x8), find the differential dy. Your answer will be in terms of x and dx. Enter dx as d...

A: topic - differentials

Q: Find the revenue and demand functions for the given marginal revenue. (Use the fact that R = 0 when ...

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Q: Let y = 5x² + 5x + 3. Find the differential dy when x = 1 and dx = 0.1 %D %3D Find the differential ...

A: Topic = Derivative

Q: %3D 32 5. Let g be a differentiable function such that g(4) = 5 and g'(4) = -2. If the tangent line ...

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