E sin n=1

Q: Question-based on, "area sector 26". I believe the answer may not be in decimal form, not sure.   I ...

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points. Th...

A: Initial point: (4, 2, 0) Terminal point: (0, 5, 2)

Q: Find the second derivative of the function.     f(x) = x cos x

A: Given: fx=xcosx for finding second derivative of given function, we find first derivative then diffe...

Q: (종-) Find the area between the graph of y = sin x and the line segment joining the points (0, 0) and...

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 5 sin 2x li...

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Q: Find the one-sided limit (if it exists).

A: Given limit: limx→12-xsecx

Q: 16. Evaluate using L'Hospital's Rule. x3-216 a. lim X-6 (In x) b. lim 4x2

A: Given, Part a: limx→6x3-216x-6 If we put x=6 we get an indeterminate form, Therefore by using the L'...

Q: Problem 2: I love those Swedish fish, especially the red ones. My Swedish fish box has broken, so we...

A: Given- Volume of cylindrical can is 1000 inch3. To find- The surface area of the can as a function o...

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning? The ...

A: For the rational expression: 714x To simplify it: 714xDivide numerator and denominator by 7:7714x7=1...

Q: Use a graphing utility to approximate the solutions of the equation 15cos2 x + 7cos x - 2 = 0 in the...

A: The equation, 15cos2x+7cos x-2=0 in the interval [0,2π).

Q: Given g(x) = find the inverse function g(x). %3D Vx + 1

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Q: 10. If g(x) = arcsin /x , find g'(x).

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Q: Using Linear Approximation, estimate Af for a change in x from x = a to x = b. Use the estimate to a...

A: Given, f(x)=x1/3 a=125,b=128 ∆x=128-125=3

Q: Sketch the graphs and find the foci; for the hyperbola, find the equations of the slant asymptotes: ...

A: (a) The equation of the ellipse is  (x+2)24+(y-3)225=1 The graph is given by  The general form of t...

Q: The possible error involved in measuring each dimension of a right circular cone is ±1/8 inch. The r...

A: Given:  Error=±1/8 inch. The radius is 2 inches and the height is 5 inches. Formula used: The Volume...

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. e 3x - 1 li...

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Q: Consider the following:   (a)Find the integral of the shaded region  (b)Find the area of the shaded ...

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Q: If x =1/k ln y, then y = ekx.Determine whether the statement is true or false. If the statement is f...

A: Given:x=1k lnyTo prove: y=ekx is true or false

Q: If the slope of the curve y =f-(x) at (4,9) is find f'(9). f'(9) = |(Simplify your answer.)

A: Given slope of the curve is 2/3 y=f-1(x)point is (4,9)9=f-1(4) we can write f(9)= 4 f(y)=x because x...

Q: Suppose g'(x)=sec^2(x) and g(0) = 0. What is g(x)?

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Q: 3. Prove by the analysis of orthogonal trajectory that the lines Ax + By = C and Bx – Ay = k are per...

A: let slope of line Ax+By=C is m1By=-Ax+Cy=-ABx+Cso m1=-ABslope of line Bx-Ay=k is m2Ay=Bx-kso y=BAx-k...

Q: Rewrite the equation 3x + y - 5 = 0 in slope-intercept form. Give the slope and y-intercept. Use the...

A: We have to rewrite the equation in slope-intercept form: 3x+y-5=0 We know that the equation of strai...

Q: Shift + Mouse Wheel to zoom. X Shift + Mouse Drag to pan.

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Q: In Exercises 25-34, find an equation of the tangent line at the point speci- fied.

A: Equation of tangent line at θ1, y1 is y-y1=mθ-θ1Where m=dydθ at θ1,y1

Q: F = (x + ex sin y)i + (x + ex cos y)j C: The right-hand loop of the lemniscate r2 = cos 2θ

A:            Given:F=(x+exsin(y)) i+(x+excos(y)) jThe right hand loop of the lemniscate r2= cos(2θ)We ...

Q: find the first and second derivatives y = x2 + x + 8

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Q: The set of elements in (- ∞, 9) or (- ∞, 12) or in both sets is________ . This represents the_______...

A: The set of elements in -∞, 9 or -∞, 12 or in both sets is________ . This represents the_______ of th...

Q: One solution of the differential equation is given. Find the general solution. 4x y(3). + 2y" + 10y'...

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Q: Light from a Lamp. The light from a lamp forms a lighted area on a wall, as shown in the figure. Why...

A: A hyperbola is the set of all points in the plane, the difference with the distances from two fixed ...

Q: and maXimum values sec o on the interval [0, fmin fmax %D

A: we have to find the maximum and minimum values for a function y=8θ-4secθ on the interval  [0, π3] fo...

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After ...

A: After 3 hours, there are 100 bacteria, and after 5 hours, there are 400 bacteria. Let the exponentia...

Q: Write 3 sin(t) – 4 cos(t) in the form A sin(Bt + ¢)

A: Given: ft=3sint-4sint multiply the above expression by, The expression 'f(t)' becomes,

Q: Let f(x)= sec(x), find the linear approximation at x= pi/4 and use it to estimate sec(pi/5)

A: Given function: fx=secx At x=π4 fπ4=secπ4=2    

Q: Let f(x) = 2x2 – 8x + 12. (a) Find the critical point c of f and compute f(c). (Use symbolic notatio...

A: Given function is f(x)=2x2-8x+12 Differentiate f(x) with respect to x. f'(x)=4x-8 (a) Critical point...

Q: What is the net signed area between f(x)=2x+2 and the x-axis over the interval [−8,5]?

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Q: Find the positive values of p for which the series converges. (Enter your answer using interval nota...

A:   Let  f(x)=1xln xp f is positive, continuous and decreasing so we can apply the integral test.  By ...

Q: 2. Consider the function: + 3 if x 2 %3D 17 if x = 2. %3D Find lim, 2 f(x).

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Q: Find all solutions in the interval [0, 2x). 2 sinx-3 sin x= - 1

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Q: What is a dependent variable?

A: To explain what is a dependent variable

Q: if none of the choices represents a correct answer, select the option “Other” and write your own ans...

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Q: dx 3. For set up the partial fractions, but do not evaluate A, B, C.

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Q: Use Descartes’s Rule of Signs to determine the possible number of positive and negative real zeros f...

A: Given function is fx=-2x3+x2-x+7 We have to find the possible number of positive and negative real z...

Q: The vector v has a magnitude of 3 and makes an angle of 30° = π6 with the positive x-axis. Write v ...

A: given: the vector v has a magnitude of 3 and makes an angle of 30°=π6 with the positive x axis. we h...

Q: point) If ƒ(5) = -3, g(5) = -4, f'(5) = -2, and g'(5) = -2, find the values of the following: %3D (f...

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