Solve cosx dx + (sinx)y=1 Select one: O ay sinx + ccosx O b. y = 2sinx + 2cosx + c O c. y = sinx – cosx+c O d. y sinx-ccosx O e. y = sinx +cosx+c

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A: To find the following limit.limx→0 sin3x2x

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Q: What is its value after 7 years? (Round your answer to two decimal places.) $3911.83 X

A: Given query is to find the value of the machine after 7 years.

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Q: Carl

A: Given - First 100 natural or counting numbers,  I.e.   n=. 1,2,3,4,5.......100. Required- Sum of…

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Q: y-values 9 8+ 7+ 6- 4 3- 2 1 2 3 x-values 4 5 y-values 4- 3 2- 14 h(x) 1 2 3 x-values 5

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Q: c) Solve f(x)= -2√2 on the interval [-2,4x]. What points are on the graph of f? d) Use the graph…

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Q: Question 3 An isotope of tin (Sn) has a half-life of 126 days. What is its decay constant? -5.5x10-3…

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Q: 6. A curve passes through the point (4, 2), as shown in the figure. If from any point P on the…

A: Let's find equation of curve.

Q: Problem 5. Consider the curves y = 4x, y = 1/x and y = 1. (a) (b) Graph all the curves to visualize…

A: Let's graph the given curves and find area of region.

Q: a) 2₂x5e-x² dx b) 510 cos(5t) dt

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Q: Given y = x³ 11 Bac 2³/27x² + 2x, find dy dx H Use the math type b

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Q: a. The graph in the accompanying figure is made of line segments joined end to end. At which points…

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Q: A conical tank (with vertex down) is 14 feet across the top and 20 feet deep. If water is flowing…

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Q: 3) Find y" if y= 9 sin x.

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Q: Find Vectors and Perform Vector Operations in R³ Let à = (3, 2, 2). Find a unit vector in the…

A: Given query is to find the unit vector.

Q: For y = ln(x7 + 3x - 9), to find y' would require the chain rule. If y = f(g(x)), find an f(x) and…

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Q: irections: Consider the following function f(x). se the logarithmic laws to rewrite this function in…

A: Given query is to expand the logarithmic expression and find the values of coefficient.

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface x =…

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Q: Using Linear Approximation, estimate Af for a change in x from x = 100 to x = 94. f(x) = √√x (Use…

A: fx=1x Here, x changes from x=100 to x=94.

Q: 11-14 Find the differential of each function. 11. (a) y = xe-4x (b) y=√1-14

A: Solve the given

Q: 12. Find the area of the surface generated by rotating the curve y = √√x the y-axis. Do not…

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Q: If h(x) = f(g(x)) and f(1) = 7, f'(1) = 10, g(1) = 1, and g'(1) = -5, find h''(1).   a) -50 b)…

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Q: A hamster "runs in place" on a circular treadmill, causing the treadmill to rotate at constant…

A: Number of revolutions in 4 seconds = 1 Diameter = 4 inches

Q: For a certain automobile, M(x)=-015x² +1.43x-7.6, 30s x s60, represents the miles per gallon…

A: Given, M(x)=-.015x2+1.43x-7.6

Q: Draw the angle 180° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5+ 4+ 3+ 2+ H -1 -2+ -3+…

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Q: Solve y" + 2y' - 3y = 1 + xex O y = C1e^-3x + C2e^-x + (1/8)x^2 e^x - (1/16)xe^x - 1/3 O y = C1e^-3x…

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Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. convergent…

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Q: 6x g(x) = -5x8 + (a) | 19 (1) a (b) 1 g(a) (c) g(√a)

A: Given query is to perform indicated function operations.

Q: Estimate using the linearization L(x) of f(x)=√√ at a = at a = 49. (Use decimal notation. Give your…

A: Given that , fx=1x Estimate 152 using the linearization Lx of fx at a=49.

Q: Find the minimum of ƒ(x, y, z) = x² + y² + z² subject to the two constraints x + y + z = 1 and 2x +…

A: Given :- fx,y,z=x2+y2+z2Subject to constraints x+y+z=12x+3y+4z=8

Q: h) R = 3qe 9

A: Given data:- The given expression is, R = 3qe-q

Q: (2) This example illustrates that the superposition principle does not hold for all inhomogeneous…

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Q: Use the tangent plane to approximate a function of two variables at a point. Use a tangent plane at…

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Q: Let f be a differentiable function. A line is tangent to both of the curves y= √1+x2 and y = f(x)…

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Q: 2. An equation like sin2 ? + cos2 ? = 1 is an identity because it is true for all values of θ. If…

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Q: The line normal to the graph of f at the point (1,2) passes through the point (-1,1).  Which of the…

A: Topic = Functions

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per…

A: The given data is: A population of particular yeast develops with a constant growth rate of 0.4321…

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

A: Given;- Fs=1.1s+0.054s2 ft

Q: 9 8- 7 16 1 A 3 يها 2 1 If f(x) f'(3) = = g(x) g(x) h(x)' 2 3 x-values then 5 4 يها 2 1 h(x) 1 2 3…

A: Given that graph of gx and hx    and fx=gxhxTo find :f'3Solution…

Q: Evaluate the following integrals using substitution(s) 1. √ 2x(x² + 1) ²³ dx 2. [4e³x dx 3. [(1 +…

A: To evaluate : ∫2xx2+123dx ; ∫4e5x ; ∫1+cosx2dx We have to evaluate the above mentioned integrals…

Q: Refer to the graph to the right and follow the directions in parts (a) through (f). (a) Is a > 1 or…

A: NOTE: Refresh your page if you can't see any equations. . for the exponential function  the equation…

Q: (5) Solve the initial value problem: Ay" - 4y + y = 0; 3₁(x) = e¹/²; y(0) = 2, y'(0) = 2.

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Q: Find the parametric equation for the line where the planes 4x + 6y + 2z 12 and 2x - y + z = 2…

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Q: y X

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Q: Evaluate a multi-variable function Let f(x, y) = √√150 - 2x² – 4y², and evaluate f(1, 0). Please…

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