„T7/8 6) (1 + etan 2x) sec² 2x dx 16) B) - D A) e C) 2e

Q: The radius r of a circle is increasing at a rate of 9 centimeters per minute. Find the rate of…

A: Use differentiation for find the rate of change of area of circle.

Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t'i + 2tj + tk,…

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Q: Given are two points [1,3] and (6, –1] in the plane. Which equation of the form a ·z + b•y+c=0…

A: (y-y1)/(y2 -y1) = (x-x1)/(x2-x1) (x1,y1 ) = (1,3) (x2,y2 ) =(6,-1) (y-3)/(-1-3) = (x-1)/(6-1)…

Q: Find the area bounded by these curves. (All choices are in sq. units) x = 2y? x = 4+ y?

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Q: M3.2 Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

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Q: Solve. y' = 7y-2; y = 3 when x=2 y = (Туре an exact answer, using radicals as needed.)

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Q: dx dy 2 Select one: True False

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Q: dx 6. S; ezx+1

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Q: Determine where the local maxima and minima occur on the graph given. 12 10- 6- -12 -10 -8 -6 10 12…

A: Given query is to find the location of local minimum and maximum.

Q: M3.4 Integration by Partial Fraction Decomposition 6x-7 dx 7.J (2x+1)(4x²+1)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 %3D

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Q: Determine the intervals on which the following polynomial is entirely negative and those on which it…

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Q: Find a plane through the points (-7,8,5), (-4,6,2), (8,2,-7) Question Help: D Video Add Work Submit…

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Q: The percentage of P doctors who accept a new medicine is given by P(t)=100(1-e^-0.16t) Where t=time…

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Q: 7x+2x? (x-4)(2x+3)(2x+1)

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Q: Find the area of the portion of the surface z=f(x,y) = x^2+ y^2 that lies below the plane z = 9.

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Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

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Q: wane lenit oy al o The curve y = x², 0<x<1, is rotated about the y-axis. Find the area of the…

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Q: 1 Given Perimeter of a rectangle is 130ft Find length and width which will give Maximum Area

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: x2-9x+207x3+19x2 =x2-9x+20(7x+19)x2x2 can not be further simplified !!Because (x)2 has an exponent…

Q: one-sided limit (if it exists). 72. lim

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Q: xdx + ydy == (x² + y²)dx

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Q: What is the angle between the diagonal of a cube and one of its edges? • Hint Angle = radians (Give…

A: Solving

Q: Find the area bounded by these curves. (All choices are in sq. units) Y1 = sin z Y2 =

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Q: A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) Find the…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

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Q: 1. Apply Maclaurin's series to establish the power series of tanx.

A: Answer is in below step.

Q: Solve the differential equation with appropriate method. Finalize answer equated to y. dy/dx = (-5x…

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Q: Find the gradient of the function at the given point. g(x, y) = 20xeY/x, (9, 0) %3D Vg(9, 0) =

A: We can find the gradient as below.

Q: Find the inflection points of f(x)=2x^4+19x^3−15x^2+1 (Give your answers as a comma separated list,…

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Q: Find an equation of the tangent line and normal line to the curve given by f(x) = x? – 6x + 5 at the…

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Q: lim 1 1-x = 2 Select one True False

A: We can check it true or false as below.

Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find all…

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Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, – 1), b = (0, 4, 1), č =…

A: We will find the volume of the parallelepiped by using the given vectors.

Q: 1.

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 8 y + 3 = z +…

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Q: O Find all velues of sx for whEu tue serics Converjes. for these alues of l, wnte tue sum of tue…

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Q: Yes,  you did not say what a is and what b is. Their values

A: Apologies for the inconvenience.   To find a and b we set the equations equal to each other and…

Q: f(x, y) = R is the rectangle bounded by +1 -5<x<5 and 0<y<1.

A: Given function fx,y=1ex2+1Region R is bounded by -5≤x≤5 and 0≤y≤1.Surface area of over region R is…

Q: Expand cos'x as a series of ascending powers of x.

A: We have to expand cos2x as a series of ascending power of x. Recall that:           cos2x =2cos2x -1…

Q: 4. Use the definition of derivative to compute the derivative of the following functions at x 1: a.…

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Q: A mechanic uses a one foot wrench to turn a bolt. The wrench makes a 29° angle with the horizontal.…

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Q: Find the area between the curve ​f(x)=x^2​+15 and the​ x-axis from x=3 to x=5.

A: Given query is to find the area under the curve.

Q: Vector p = Vector n Calculate the total sales of all the bicycles. 239, 193, 219 > represents the…

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Q: in. The length of the square-end edge is in. The box height is The greatest volume of the box is…

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Q: x20 is continuous at x-0, then a = a+sinx If the function f(x): 2+2acosx x<0 a. 1 b. -1 O c. 2 d. -2

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Q: ee) Using the Laplace transforms to solve the following equations: y" + 3y' + 2y = e', y (0) = 0, y'…

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Q: M3.3 Trigonometric Substitution s dy 9-y 5.

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Q: Graph the following vector addition: + Start from the origin. One vector to show One vector to…

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Q: Find a formula for f'(x) and determine the slopef'(2) for the following function. f(x) el+8r' In(x+…

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