det a det C

Q: - 1. der the equation In ay Ehow that (r, y) = (1,1) is a solution to this equation. dy Find dz (my)...

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Q: E. Perform the indicated operation given the following function. f(x) = 1- 2x g(x) = -x + 3x h(x) 3x...

A: The composition (f ° g)(x) means "evaluate g at x, then evaluate f at the result g(x)"

Q: Start at 1. Create a pattern that multiplies each number by 2. Stop when you have 5 numbers.

A: You are asking me to creat a sequence that we can make in many ways. One of them I am showing here.

Q: A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the ch...

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Q: y - 3y + 2y = 3e + 2e2 %3D

A: Given: -The ordinary differential equation is, y''-3y'+2y=3ex+2e2x To find: -The solution of the giv...

Q: Determine the arc length L of the curve defined by the equation y = In(6x) over the interval 1 < x <...

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Q: Use a finite sum to estimate the average value of f(x)=x* on [0,2] by partitioning the interval into...

A: To evaluate the f at the subinterval midpoint

Q: Use a sum or difference formula to find the exact value of cos 285°. 01 V2+ V6 4. -V6 - V2 V6 + v2 4...

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Q: 7. S(2 + tanx)²dx

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Q: Given: sin a= & in Quadrant I and cos 8= - 12 in Quadrant Il; evaluate the following expression. tan...

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Q: dx Using trig sub, find - By the rules, Vu2 + a² x/(x³)²+1 can be used where u=a tan0. What should b...

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Q: DETAILS LARAPCALC10 2.6.008.EP. Consider the following. 8. g(t) = %3D Find the first derivative of t...

A: Derivatives

Q: (a) Find (g/f)( x) and (fog)(x) for the functions f(x) = x2+ x and g(x) = - 2x+3. 1 a) g/f: fog: (b)...

A: Given f(x) = x2+xg(x) = -2x+3we know that fg(x) = f(x)g(x)and f∘gx = f(g(x))

Q: x2+1 2²+1 dx = 0 xe"dy +

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Q: 10. J(3x3 — 5х + sin3x) dx -

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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: JUIR tO JusLily your aASWers. Witë your solutions properly, heatly, and carefully answers as much as...

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Q: 1 V3 is a point on the unit circle that corresponds to t, If t is a real number and P = (x, y) = %3D...

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Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the prob...

Q: Find a linear differential operator (of lowest order) that annihilates the given functions: o f(x) =...

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

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Q: 11T find the reference angle 0'. Give only exact answers, and type pi for 7 if needed. Do NOT 3 If 0...

A: Topic:- trigonometry   

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

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Q: 1. Verify that the infinite series diverges п a) E (2) 6 n=0 п b) E п+1 n=1

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Q: .2 e cos? y = 2+5x+1)3 %3D

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Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex (0,1/2...

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Q: Use technology to evaluate the given expression. Take 1.3 7.3 A = 1.6 -2.34 5.7 and B = 5.3 0 O 12.9...

A: A=1.6-2.345.744.9012.9 and B=1.37.35.305.56.3

Q: Given that is the series (k +1)4/4k+1 1+ k: 1 lim k→+0 lim k→+0 4 (-1)*;4 4k is the series condition...

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Q: 637 A central angle in a circle sweeps out an area of square centimeters. If the central angle is 2 ...

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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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Q: 15 1야 -5 10 /15 -20 -15 -10 20 -5 -10 -150 -20 lim f(x) x--5 -5 lim f(x) 10

A: Topic = limits

Q: You are inflating a spherical balloon at the rate of 7 cm³/sec. How fast is it radius increasing whe...

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Q: Given the graph of f(x) below, which of the following limits exist? o a lim, s f(z) O b. lim,, 3S(z)...

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Q: Water is poured into a conical container at the rate of 10cm³/sec. The cone points directly down, an...

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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: TRUE or FALSE 1. The co-vertices are on the hyperbola. 2. An ellipse contains its co-vertices. PL...

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Q: 4. The height h (in metres) of a certain section of a roller coaster is modelled by the equation h(x...

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Q: (MULTIPLE CHOICE) Which of the following is(are) differential equation (s) with homogeneous coeffici...

A: To determine which of the following is(are) differential equation(s) with homogeneous coefficients.A...

Q: A trough is 50 ft long and has semicircular ends, with the flat side facing up. The semicircles have...

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Q: Does dy/dx= y-2y/x for ln(2xy)=x

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Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

A: Here, the given relation between Y and X is negative that is as X increases Y decreases. One of the ...

Q: 1. Evaluate the following limits. r+ Vr - 3x a. lim r--0 r - Vr4 + 3x

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Q: Evaluate f x³e2x dx using integration by parts

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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: 2. Let x+1 r -1 Determine if lim f(x) exists. r-1

A: The objective is to determine if the limit exists or not. 

Q: e) 1 Σ Vn n=1 3 f) 5 3 п-1 п 8 W

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Q: Mrs. Decker's Diamond Dotz class has twenty-four students. If 30% of the class finishes their projec...

A: Given:   Class has 24 only    Classs finsihed = 30%  

Q: Use the table below to find dx [f(x) + g(x)] |x=3 1 2 4 f'(x) g'(x) 4 1 5 3 1 4 2 d [f(x) + g(x)] (T...

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Q: Use the given graph of the function to find the z-values for which f is not differentiable. 1.A Answ...

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Q: Find the indicated nth derivative of the following functions: 4. 2nd derivative of y = x5e-3lnx ans....

A: Topic -  derivative