Suppose the sales tax rate of Pagadian City is 7% of the purchase price. If the price of the digital camera is P 24,700, how much sales tax must be paid?

Q: 3. feVin e+2ln² e +ln€ de

A: The given integral is: I=∫θ-1ln3θ+2ln2θ+lnθ dθ

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A: Using derivatives.

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Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15 ...

A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75 8:3...

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Q: 8. Find the exact value of each expression. 3V34 tan cos 34

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Q: Find the exact value of each exp V3 sin 2 Si

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Q: Determine whether the given sequence converges, and, if it does, find the limit. i. An sin () %3D

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Q: Evaluate the line integral along the given path. (Give your answer correct to 2 decimal places.) | 6...

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Q: Define function rules f(x) = 2 Vx-1 by using the limit rule f'Cx) lim f(xth) - FCx) %3D

A: Topic:- calculus

Q: Explain why each of the following integrals is improper. (a) dx (x - 9)3 O since y=- - has a vertica...

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Q: x(x* –1) dx x' +1

A: This integral is of expression a2 + x2 . 

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Functi...

A: Slope will be same and there will be 2 equations. 

Q: Theorem 1 Sequence Defined by a Function Let f(x) be a function defined on c, o] for some constant c...

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Q: Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2) = 31.

A: This question is related to function and their derivatives.

Q: (5 + 4) + 6 = 5+ (4 + 6) illustrates the property of addition.

A: This question is related to algebra.

Q: x2n+1 Given the Maclaurin series for sin x is sin x = E=0(-1)". find the Maclaurin %3D (2n+1)!' seri...

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Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

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Q: Consider the surface given by the equation z - y = x2. Draw a total of at least 3 traces in at least...

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Q: Homogeneous Differential Equations (11) (x – y)dx + xdy = 0 (12) (x sin- y cos) dx + x cos 2 dy = 0 ...

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Q: 3. (а) х-ахis (b) y-axis y-4-

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Q: 1 dy rVx²-9/ -3 dx exVe2x_9,

A: ∫1xx2-9dx  

Q: 2. Examine the given graph of f(x) and evaluate the following. 44 а) lim f(x) = d) lim f(x) = 2 lim ...

A: We have to find the limit of f(x) using the graph of given function.

Q: 2. Let f(x) = ax+b cx+d (a) Show that if f is one-to-one, then ad bc + 0. (b) Show that if ad – bc +...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Given that: limn→∞nne-8n

Q: Find dw/dr and dw/dΘ for w=2z/y-3x if x=3Θ+2r, y=3r^2 + Θ, and z =4r-Θ, where Θ = 2 and r = 5.

A:  w=2zy-3xx=3θ+2r,y=3r2+θ, z =4r-θTo find ∂w∂r and ∂w∂θ for θ=2 and r=5

Q: Given that f(4) = -8 and f'(4) = –6 , find an equation for the tangent line to the graph of y = f(x)...

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Q: Prove the following indentity. - 1 attachment - sece sine = cot0 sino cos0

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Q: xl² -1), 2 x +1

A: To evaluate:∫xx2-1x2+1dx

Q: A pyramid of height 500 ft has a square base 800 ft by 800 ft. Find the area ? at height ℎ....

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Q: Зх — бу — 2z %3D 1 2х — 4у + z %3D 17

A: We can use an augmented matrix to solve the given non-homogeneous system of equations.

Q: 1- Solve the following equations using Grammar's rule: b) 2x + y - z = 2 x - y +z = 7 2x + 2y + z = ...

A: Given system of equation2x+y-z=2x-y+z=72x+2y+z=4We know that for system of equation a1x+b1y+c1z=d1a2...

Q: Problems 24-27 concern g(t) in Figure 2.29, which gives the weight of a human fetus as a function of...

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Q: Find the integral. e4X cos 3x dx + C

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Q: Find the linearization of the function f (x) = x at x = 1. a lal sin (a) L (x) Using this linearliza...

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Q: 1. Let f(r, y) = arctan(ry). (a) Find the unit vector in the direction where the directional derivat...

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Q: If a sequence c1, c2, C3, . .. has limit K then the sequence eº, e%, e,... has limit eK. Use this fa...

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Q: Determine the gradient of the curve 3xy + y² = -2 at the point (1, -2)

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Q: Find the general solution of У" - Зу + 2у 3 2х3 - 9х? + 6х

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Q: Find the general solution of * y" - 3y' + 2y = 2x² + 1

A: Given: y''-3y'+2y=2x2+1 So, we can also write as: D2-3D+2y=2x2+1 So, the auxiliary equation is: m2-3...

Q: . Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. a...

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Q: Draw a sketch of the plane of 4x – 4y + 2z – 9 = 0. -

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Q: Determine whether the integral is convergent divergent. If it is convergent, evaluate it. or sin?(a)...

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