Evaluate the integral. *3 7 39+x² dx

Q: Condense the expression to the logarithm of a single quantity. 4[ln z + ln(z + 7)] − 2 ln(z − 7)

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Q: Using only the theorems on determinants and the row/column operations, show that: 1 1 a b a² b² 1 C…

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Q: 20 7 6 15 - 3 2 1 0 -1 -2 -3 T 18 -6 -7 1 8 9 10 11 12 13 T 15 16 17

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Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

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Q: 1 dy = (64xy) 3 dx

A: Please see the answer below.

Q: =) y II 131 Olim x 1 z 1 0 -1 lim 2-1 x |x-1| |x-1| x - |x-1| lim z 1 x- - 1 -5 -1 DNE UND 0.9 -1…

A: c) Given,y=|x-1|x-1 now, limx→1-11-xx-1=limx→1-1(-1)=-1

Q: The auxiliary equit of the given diff- is m² + 6m +8 = 0 2 m² + ym + 2m +8=0 m (m+4) +2 (m+4) = 0 2…

A: We can solve your query in the following steps.

Q: (jw)²x1w) = 21 A (b-a) sin (bw) - sin(aw)

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Q: Determine the vector and parametric equations of the line through A(6,2,5) and B(9,2,8)

A: Given points , A(6,2,5) B(9,2,8) Therefore a=6i+2j+5k b=9i+2j+8k

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Determine the domain of the function of two variables f(x,y)=√√y + 3x. The domain is {(x,y). (Type…

A: To determine the domain of the function of two variables fx, y=y+3x.

Q: Test for convergence or divergence, using one of the tests listed below. Σ(²1-042) n+1 n = converges…

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Q: 2a It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x…

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Q: Write an equation for the quadratic graphed below: x-intercepts: (-2,0) and (3,0); y-intercept:…

A: NOTE: Refresh your page if you can't see any equations. . x-intercepts are so the factored form of…

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

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Q: Find the Maclaurin series for f(x) = In(1+x²)

A: To find the Maclaurin series for fx=ln1+x2

Q: 4. The value of A. 2 In x + 1 + B. C. D. 2 ln 2 ln 2 ln 2x² + 3x +3 (x+1)³ x + 1 + x + 1-1 x + 1|- 1…

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Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis: a. y =…

A: Given :y=2xx=0 to x=4

Q: True or False? All prime numbers are positive integers. True False

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Q: 5. Demonstrate the following identity: Ecosnt : cosme sin (m+1)0 sin n=0

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Q: 1. f 2²x²+1 dx

A: In this question, we want to evaluate the given integral.

Q: x³y''' – бу = 0.

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Q: The following formula is used by psychologists and educators to predict the reading ease, E, of a…

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Q: Find fxx fxy, fyx and fyy, for the following function. (Remember, fx means to differentiate with…

A: The objective of the question is determine the second order partial derivative.

Q: Find the area of the surface obtained by rotating the curve about the y-axis. = (y² - Iny), 1 ≤ y ≤…

A: surface area  about  y axis  bounded by  x=g(y)Area=∫ab 2π g(y)1+g'(y)2  dy

Q: 4. Find the area of the surface formed by revolving the graph of f(x) = x² on the interval [0,…

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. x² + 2x…

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Q: e integral by making the given substitution. (Remember to use absolute values where appropriate. Use…

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Q: cosh(In2)= A B C D 5 4 0 Alw Some other answer

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Q: Y= x^5-2x^4+3x^2-5x+1 find the concavité upward and downward, show the graph and find the point of…

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Q: (a) One lender offers Kim an APR of 6% for a 7-yr term. What would be the amount of Kim's monthly…

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Q: Find fx, f, fx(2,6), and f,(1, -7) for the following equation. f(x,y)=√x² + y² 4-0 (Type an exact…

A: We can solve this as follows:

Q: c) (n+1)2

A: We will apply Ratio-Test for converge

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)^…

A: Solve the following

Q: Find the derivative of the function. f(x) = arcsin(8x) + arccos(8x)

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Q: Let f(x) = 4x6 In x f'(x) = Rounding to 3 decimal places, ƒ' (e²) =

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Q: 1. f(x)=x²+2x+1 & f(x) = 2x+5

A: To find the area between the curve.

Q: dw Find using the appropriate Chain Rule for w = cos(4x−4y), where x = tº and y = 3. dt

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Q: Use the method of variation of parameters to determine the general solution of the given…

A: Determine the general solution of differential equation…

Q: Ass: 一 V EXAMPLE 6 Find the area enclosed by the line y = x - 1 and the parabola y² = 2x + 6.

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: If a differentiable function f is decreasing on (a,b), then f'(x) < 0 for each x in (a,b). A) True B…

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Q: Use the table to find lim f(x) z 2 X 1 1.9 1.99 2 f(x) 10 11.8 11.99 10 lim f(x)= I 2 2.01 2.1 3…

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Q: = f f(t) [ ³wt e dt fat. ejut dt How did he get the limits of integration?

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Q: Question 9 Find the derivative of y=e^ cos2x, and use it to find the equation of the line tangent to…

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Q: F.T. 3) If X(t) 4² _y(t) = x (2+-1) -it Ans: Yow) = + X(W) and X (W) = --J(W+1) W+1 [4+j(W+1)]² 2 (2…

A: Given that, Forior transform of x(t) is x(w). And x(ω)=w(2+jω)2 If y(t) = x(2t-1)e-jt  Then We have…

Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: 1. The value of A. sin-¹(²*²+¹) + C 5 sin-¹(²*x+¹)+C B. C. sin-¹(+¹) + C D. sin-¹ (¹) + C 2x

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Q: (jw+4) (jw+3) (jw+2) B + (jw+3) (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

A: We will use properties of partial fraction

Q: 1 x² ln x da

A: Topic:- application of integration