x³ +x 3+X 2. Evaluate dx X O x3 + 3x + C O 2x + C -+x+C

Q: Use the product rule to find the derivative of (- 72° – 4x10) (5e² + 4) | Use e^x for e". You do not…

A: This question is related to differentiation, We will solve it using given information.

Q: Find the general indefinite integral. (Use C for the constant of integration.) sec t (8 sect + 9 tan…

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Q: b). Determine if y =x tan (x) satisfy dy_y x sec²(x) = 0 when y|x=0 = ( | dx

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Q: Maclaurin series for the given function

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Q: Solve the trigonometric equations. (a) 2cos (x) = V3 in [0, 2n) (b) tan(x)–1 = 0 in [0, 2n) (c) V2…

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Q: Michael has a math test tomorrow. His score is related to the amount of studying he does in…

A: topic - independent and dependent variables

Q: 9. 8. 13 3 f(æ)dæ = / f(x)dæ + f(x)de - f(x)dx, a 4 8. 4 what are the bounds of integration for the…

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 3? y = 3 + 2ex –…

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Q: If f(w) (3w), find f'(w). Use exact values. = COS f'(w) =

A: We can find the exact answer as below.

Q: Find (3+2) - 2i . 406 754 386

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Q: can i see how you get 95.33?

A: Apologies for the inconvenience.   The given function is:  fx=3lnx5fx=3×5lnxfx=15lnx   Given that…

Q: 25. Find the intersection of the line [x, y, 2] = [1,4, – 2] + 1(1, – 1,3] and the plane 2r – 4y +…

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Q: 75 ft A pole stands 75 feet tall. An angle 0 is formed when wires of various lengths of x feet are…

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Q: Find T(t) and N(t) at the given point. r(t) = (t – 6)i + tj; t = 6 T(6) = N(6) = %3D

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Q: If f(-x)=(2,-1), what are the coordinates of f^(x)?

A: Given that,  f-x=2,-1

Q: 4. The temperature, T, in "C, of a side of beef t hours after it is put in the freezer is given by…

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Q: 2x2 -9x Find the limits and justify if needed. 12. lim x² – 1 X-

A: Given query is to find the limit of the expression.

Q: a. Examine the function. Determine the key features. (C4) i. Domain (1, 2.7) ii. Range iii. Sign of…

A: Given problems:-

Q: 8. 4" + 1 7" + 1 n = 1 4n + 1 7n + 1 lim = L > 0 converges diverges

A: Follow next step

Q: Given x² + 13x + • 40 f(t) = 1+ cos2(x) At what value of t does the local max of f(t) occur? rp- t =

A: Here, the given function is: f(t)=∫0tx2+13x+401+cos2xdx

Q: (x S+ 3x? - 4 ) dx 12

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Q: Directions: Prove the following statements. 1. If f(x) = (x² – 1)3 then f'(x) = 6x3 – 12x + 6x.

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Q: y=f(x) A1 АЗ 15 A2 7 A4 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

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Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A: The given differential equation,     dydt=16t7

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let rr…

A: Given ,  A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: S(9% + 33* + 2²) dx

A: Given

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: Given, f(x)=x8, 0,8 Recall:  f(c)=1b-a∫abf(x)dx We have, a=0, b=8

Q: Find 312 i-0

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Q: Find y' if y= 2x + Vx*-9xr+3.

A: We can find y' in the following steps.

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: it is always that when the series equal to zero it converges and when it is nonzero it diverges ?

A: For a series to be convergent we must have limn→∞an=0. But the converse is not true.  For example:…

Q: 19 at are the equations of the asymptotes for the function y = tan 27x where 0 < x < 2 х %3D 0.25,…

A: Given query is to find the equation of asymptots for the function.

Q: I. Complex Numbers and Variables 1. Find the square roots of the complex number 5 + 2i. (cos 0+j sin…

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Q: Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is…

A: topic- equations

Q: BASIC CALCULUS 1. The line segment from (1,–1,3) to (0, –3,1) forms a diameter of the sphere S1.…

A: Given , end point of diameter of sphere A(1,-1,3) and B(0,-3,1). First we need to find centre of the…

Q: Find the area bounded by y = x + 4 and y = x² - 2. Answer:

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Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: 7. 1. A = 4 6. 4…

A: 1.A=7-346 det(A)=7×6-(-3)×4=42+12=54 2.B=4-5-19 det(B)=4×9-(-5)×(-1)=36-5=31 3.C=213-312-27…

Q: Find y if y= 3(x³ – 7x+2)5 +4x -2.

A: Topic = Derivative

Q: 49 x dx -7

A: answer is in next step

Q: The region bounded by the curve y= x² and the line y=3x is revolved about c) the line x=-3 b) y-axis…

A: This is a problem related to volume calculation by solid revolution. Based on the general formula…

Q: We have found that the partiaular solution of the height function is s(t) = -4.9t + v(0)t + 3 and…

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Q: Use Newton's method to approximate a root of the equation z + x + 4 = 0 as follows. Let x1 = - 1 be…

A: we have to find approximated root

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

A: Area of the region bounded by the curves :      If f(x) and g(x) are two continuous function on a,b…

Q: Use partial fractions to find the sum Σ (2n- 1)(2n+ 1) n = 1

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Q: What is the value of b in the following matrix equation? -3 11 a b O 26 +3 8 d 35 14 2 O 15 O 5 O 19…

A: Given query is to find the value of b.

Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

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Q: A stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 12…

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Q: Find the area bounded by y = x + 4 and y = x2 - 2.

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Q: リ=ー"-4), find a) The x-intercept and the y-intercept b) The interval where the function is…

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