Evaluate the following integrals. 1. sec-a dæ cos Va dx Væ csc /æ 2. x2 dx - 3.

Q: Which graph shows the function f (z) = tan z? 2- 0. 2x -1 12 4 3 2 -1 -2 Cunpy

A: Topic:- trigonometry   

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A: First order differential equation :           Consider the differential equation                   d...

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Q: 12

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Q: get

A: We will find the rate of change of value. 

Q: Graph of a function Using the graph find the following: (6.5) a, lim f(x) e. lim f(x) 4 (4.2) f. lim...

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Q: Instruction: Solve the following indefinite integrals. Show complete solutions.

A: Question no. 11,Given,            ∫xsec1+x2dx

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A: The function is given as y=cot(x) The objective is to find the y-intercept.

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Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest t...

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Q: 10. J(3x3 — 5х + sin3x) dx -

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Q: A population of viruses is increasing at a constant relative growth rate in the bloodstream of its h...

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Q: as, consider the different

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Q: ak+1 If lim k→+∞ ak = 5, then ak diverges. k=1

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Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to a...

A: Base on the general formula of the work we will calculate the total work required for pumping fluid ...

Q: 3. lim (3 Vx + 9/

A: This is a problem related to limit of the function. Based on the general formula of limit or using L...

Q: Express the integrand as a sum of partial fractions and then evaluate the integra 4x2 xp. 4 1

A: We have to find out 

Q: 3 -dx 4 - x

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Q: Find the slope of the tangent to the curve y = 1/Vx at the point where x = a. Use the equation : f(a...

A: This question can be solved by applying the given formula with limit h approaches 0

Q: (x+2)? Consider the ellipse whose equation is given by + (y+ 5)2 = 1. 25 What are the coordinates of...

A: Coordinates of vertices are:-

Q: Compute the discriminant D(x, y) of the function. S(x, y) = x' + y* – 6x – 2y + 1

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Q: Which of the following equations is an ellipse? Ay²= x² + 4 (x– 2)² , (y+2)² (B) 1 25 25 x2 + 4y2 - ...

A: Given: - The four equations,  (a) y2=x2+4(b) (x-2)225+(y+2)225=1(c) x2+4y2-16=0(d) 4x2+4y2-5=0 To ch...

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Q: et dx 3 (9 + e2ª)ž

A: Solution: ∫ex9+e2x32dx Apply u substitution: u=ex dudx=ex⇒du=exdx⇒dx=1exdu  

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 2. f(x) = Vx ...

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Q: Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing ...

A: Given problem:- Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, -...

Q: (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if there is no ma...

A: Topic:- application of derivatives

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3. (...

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Q: The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the ...

A: The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the ...

Q: Determine whether the series converges, and if so find its sum If the series diverges, indicate that...

A: The given series is summation of 1/(81k2+63k-8).

Q: 3. Evaluate: e-x²+2x dx (Hint: let t = (x – 1)²) %3D

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Q: t (s) 0 0.2 0.4 0.60.8 1 s (ft) 00.45 1.5 3.8 6.59.6 Find the average velocity over the interval 0 <...

A: Average velocity =V=(displacement between two points)/(time needed to make the displacement)   V=( s...

Q: Find the exact value of the following trigonometric expression: .2 tan? o - sec? o = Submit Question...

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Q: Find dy/dx by implicit differentiation for tan-(r²y) = sin(²) + 3xy

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Q: a. f(x)=eX+_11 1+x2 F(x)= b. r(t)=t(12t+8) R(t)= c. h(m)=2mª+4m3-m m3 where m>0 H(m)= d. s(y)=2Y+4si...

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Q: x2+1 2²+1 dx = 0 xe"dy +

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Q: If 0 = 4 find the reference angle 0'. Give only exact answers, and type pi for a if needed. Do NOT t...

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