5 Replace the letter A in the integral [A(5x + 3) da so that the integral evaluates to (5z¹ + 3) + C.

Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. 1 Στ n2…

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Q: Consider the following function. x), a-0, n=3, 0≤x≤ 0.2 (a) Approximate f by a Taylor polynomial…

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Q: If the function f(x) is quadratic with zeros x=-6, and x=-2, then the axis of symmetry must have an…

A: Function f(x) is quadratic Function, Zeros of Function f(x) : x=-6, and x=-2.

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A: Directional derivative

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Q: Express the equation in exponential form (a) In 2 = x is equivalent to e = B. A= and B= (b) In z = 5…

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Q: 2. Investigate the convergence or divergence of the following improper integrals a) f(x-1)e-*dx…

A: 2. a) Since there is infinity in the upper bound, this is improper integral of type 1.

Q: Use the appropriate methods to solve the integralss in the picture below

A: We have to evaluate the given integrals.

Q: The mean value of the function f(x)=2.9x25 from x=0.7 to x = 2.9 is

A: Let a function f( x )  if we want to find the mean value of the function f( x ) from a to b then…

Q: et R be the region inside the inner loop of the limaçon r = valuate fr dA. -√3-2 cos 0.

A: r=3-2cosθ

Q: K Find the area under the given curve over the indicated interval. y=x²; [0.2] The area under the…

A: y=x2;      [0, 2]

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A: After a certain drug is injected into a patient, the concentration c of  the drug in the bloodstream…

Q: use the Alternating Series Test to determine if the series converges. If the Alternating Series Test…

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Q: 2. Evaluate: f (x+1)dx x²+4x+10

A: Consider the integration. ∫x+1x2+4x+10dx

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Q: Derive the Laplace transform for the given time function: 6. f(t) = eat

A: f(t) = eat

Q: State whether the following is true or false by differentiation. 7√1+x² X True False [x²√²+x²° 1 dx…

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Q: which of following is graph of F(x) = Xº Dashed 4²-1 lines indicate asymplates

A: To find the vertical asymptote: Set denominator=0 and solve for x. To find the horizontal asymptote:…

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Q: Write the equation in spherical coordinates. (a) 7z² = 8x² + 8y² (b) X x² + 4z² = 4

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Q: 3ax 2-5e3x -dx

A: Here, we have given integral now we have to solve it by using general formulas of integration.

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Q: Use the table of values to evaluate the expressions below. x f(x) g(x) 0 4 7 1 2 3 2 8 6 3 6 0 7 1 0…

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Q: A company makes three sizes of cardboard boxes: small, medium, and large. It costs $1.50 to make a…

A: Number of small boxes=xNumber of medim boxes=yNumber of large boxes=z

Q: Compute ||u||, |v||, and u v for the vectors u = -9i + 3k and v = -5j. .

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A: Given the shape is the rectangle let the dimensions width = y length = x As we know that area of…

Q: Evaluate the integral. 1 4л Зл SS S y sin z dxdy dz 000 1 4л Зл | | | ysinzdxdydz | y sin z dx dy…

A:

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 26 cm…

A: V = πr²h   r  = radius h = height

Q: A curve passes through the point (0, 3) and has the property that the slope of the curve at every…

A: The curve passes through point ( 0 , 3 ) The slope of the curve at every point p is twice the y co…

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Q: 1. Determine if 0 is a stretch factor/eigenvalue of the linear transformation with given matrix…

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Q: 3.1 Suppose that f, g and g' are continuous on the interval I = [a, b]. Show th b [ f(a)dg(x) =…

A: Please see the below pictures for detailed solution.

Q: Find the curvature of the function Y 1 at x = 2. Find the radius of curvature at x = = 2.

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Q: use the Alternating Series Test to determine if the series converges. If the Alternating Series Test…

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Q: sketch the function y=(x+3)^(3)-1, and its inverse. Is the inverse a function

A: We have given a function and we have to sketch and find its inverse.

Q: [SC sec² x tan¹ x dx

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Q: 2x -x 2 x²-p²x¹ dx

A: Differentiation

Q: Find f such that f'(x) = 8x-9, f(7) = 0. f(x) = 0

A: f'(x)=8x-9, f(7)=0

Q: Find the Laplace transform of the following given: 1. f(t) = 6e-5t + e³t + 5t³ - 9 2. h(t)e-3t…

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Q: Convert the point (x, y, z) = (-1, 2, 0) to cylindrical coordinates. Give answers either as…

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Q: Find the length of the curve over the given interval. r = 3a cos(?),       −  ? 6,  ? 6

A: r=3acosθ  Find the length of the curve over the given interval -π6, π6

Q: 4 2 on the curve y=x²-6x² +4 a) Find the points where the tangent line is horizontal. b) Find all…

A: The slope of a tangent at a point can be easily found by the derivative of the function at that…

Q: Express the following sums using sigma notation. 6+7+8+9+10 a. b. c. 18 +28+38 +48 C. 1…

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Q: Determine the equation of the line perpendicular to the tangent line to the function y = ecosx at…

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Q: Find the cosine of the angle between the vectors i + 3j and 10j + 3k. (Use symbolic notation and…

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