Suppose the function f(x) is an odd function and lim, f(r) = 27. Use this information to evaluate lim,. f(r).

Q: Test the convergence of cach of the following two scrics. n" 2n +3 (1) 2 n! (ii) Зп + 2 n=1 n=1

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Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at 6…

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Q: Find the area of the shaded region. y=x-4 y= /2x 2. 8. 10 x -4 2.

A: Given query is to find the area of tha shaded region.

Q: B. Find the value of (r+1)dx in the following three ways: a. Using elementary geometry, interpreting…

A: answer is in next step

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Q: Use the Comparison Test to determine whether the series is convergent or divergent. 00 ,7/8 n' n = 2…

A: The given series,    ∑n=2∞1n78-1

Q: cOs x dx sin² x+ 2 sin x+5

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Q: Given f(x) = 3x2 – 24x + 15, a. Write f(x) in standard form. b. What is the axis of symmetry of…

A: Given query is to write the standard form and find symmetry.

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A: We need to find integral.

Q: x2 + x – 2 At which value of x does the function f(x) have a removable discontinuity? g3 – 3x2 + 2x

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Q: Find the derivative of f(x) = (2 - 3x) (-5x + 4). O 2 О 22-30х О зох + 22 30x + O 15x + 8 None of…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 In n n +…

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Q: Find curl (9z i+ 10xj+ 2y k). curl (9z i+ 10x j + 2y k) = ( i Di + ( i j+ ( i )k

A: We have to find the curl

Q: Given the function g(x) = 8x³ + 12x² – 48x, find the first derivative, g'(x). g'(x) = (x),6 Notice…

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 6y3…

A: given circle x2+y2=4

Q: Let L be the line r(t)=(1+1,1-2r,3+5t) and II be the plane 2x-y+3z-48=0. a Find the point of…

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Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). r(t) = t'i + tốj K(t) =

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Q: Write the vector equation 2 3 1 3. + x2 -2|+ x3 1 -3 (a) Write as a system of linear equations. (b)…

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Q: Determine the value of b:

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Q: Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108…

A: In this question we have to find the minimum amount of tin sheet that can be made into a closed…

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A: Solve the following

Q: Consider the function f(x) on the interval [1, 11]. Find the average or mean slope of the function…

A: Given,  f(x)=1x

Q: Find curl (8z i + 9x j+ 8y k). curl (8z i + 9x j + 8y k) i )i + ( i )j + ( i )k

A: Given that,     8z i+9x j+8y k

Q: The matrix associated with the solution to a system of linear equations in x, y, and z is given.…

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Q: The surface S is parametrized by equations x = u + v, y = 3u?, z = u – v; The point P (2, 3, 0) lies…

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Q: mal places as needed.)

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Q: 4. Evaluate lim (cos r)/**.

A: We know that limx→0f(x)g(x) is of the form 1∞ then limx→0f(x)g(x)=limx→0eg(x)f(x)-1

Q: АСTIVITY 2 FINDING OTHER TRIG VALUES Given some initial values, apply the different trigonometric…

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (4, -3)

A: To solve the given line integral.

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Q: Let 7 (t) = Find a parametric equation of the line tangent to 7(t) at the point (– 27, – 44, 1.792)…

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Q: Consider the function f(x) = 12x° + 30x4 – 300x³ +3. f(x) has inflection points at (reading from…

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Q: Question 3 z+3 dx Use the substitution u = 1 - 2. 1 O sec I|+3 sin x+C OIn(1 – a) + 3 sin-1 a + C…

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Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). r(t) = t'i + tốj K(t) =

A: We can solve as follows

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A: We have to find the equation of tangent line.

Q: 10 dx J6 x² – 25 (a) the given integration limits (b) the limits obtained by trigonometric…

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Q: 7. When a vehicle is said to be travelling at -35 km/h, what does this infer?

A: We can explain the answer in the following steps.

Q: 3. Suppose that the revenue in selling a tables is equal to 200.x -0.25a2 dollars, and producing a…

A: We know that profit=selling price-cost price

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y'x²j+ 2z²yk. %3D div F= curl F=

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Q: 1. The set of 2 x 2 matrices with real number entries, denoted M2(R) : a, b, c, d e R}, is a vector…

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Q: the 1. For f(x) = r8/3 - 4x5/3, find a). the domain and f', b). f" (simplify f"), %3D c). the…

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Q: Solve the system of equations using matrices (row operations). 3z- 3w = - 4 X+ y+ z+ 3w= -1 2x + y-…

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