Use the method of substitution to find the indefinita integral. Check your resuk by afferentiating. (Use C for the constant of integration.)

Q: g(b). Use the Substitution Formula, -g'(x) dx = f(u) du where g(x) = u, to evaluate the following in...

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Q: Determine the solutions to the following problems: dP = 2P – 10 dt dB — 0.001В — 200, B(0) — 100000 ...

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Q: Find the radius of convergence, R, of the series. ř n(x – 4)" n=1 n° + 1 R = Find the interval, I, o...

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Q: Let a, b, and c be three-dimensional vectors. Identify whether the expression (a x b)- (c × d) will ...

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Q: 4 CSC* x

A: ∫csc4xco2xdx

Q: how much should you put in an investmenr paying a simple loan of 5% if you needed $4000 in eighteen ...

A: According to question,Given data,Rate of Interestr = 5%Simple interest = $4000Time = 18 Months

Q: Interpret the standard curve below. 1.4 1.2- 1.0 - 0.8 0.6 0.4 0.2 0.0 200 400 600 800 1000 1200 140...

A: Explanation of the answer is as follows

Q: 8) Find the critical points then sketch the graph of the function below. Provide the first derivativ...

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Q: 3. Find an equation of tangent line to the given function at the given point: f(x) = 1+ arctan(x/4),...

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Q: Let f(x, y) = xr sin(xy). Find (a) xy cos(xy) (b) y cos(xy) (c) x² cos(xy) (d) -x sin(xy) (e) Some o...

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: Question 1 xi+yj+zk If F(xy,z)- Vx² + y²+z² .2 Determine Vx F

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Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...

A: Formula for the mass

Q: +-over [1, 2]. Find the exact arc length of y: - 3 4x

A: A detailed solution is given below

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

A: Here we have to use the application of derivatives

Q: 15–18 Find the angle between the vectors. (First find an exact expression and then approximate to th...

A: 18) Given,  a=i→+2j→-2k→b=4i→-3k→ cosθ=a→.b→a→b→ a→.b→=i→+2j→-2k→.4i→-3k→      =4+0+6a→.b→=10 a→=12+...

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Given,            The vector z is z=<3,2,-7>.To find : Determine which of the vectors is are p...

Q: Consider the points A(3, –3, 3), B(4, –5, 0), C(-3, –4, 0), and D(6, 2, –6). Find the volume of the ...

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Q: 15. Evaluate o" Sy" cos(x?) dxdy,

A: Given: I=∫0π∫yπcosx2dxdy   So, The region bounded by the lines x=y, x=π, y=0 & y=π is as shown b...

Q: xsin-1(x) If x =0.56 and y = 0.23, then value of C in the antiderivative of F(x) = is V1-x²

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTION Evaluate the given integrals. Show the complete solution. Iden...

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Q: 2. Find the interval of convergence of En=1 n(n+1)

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Q: Tutorial Exercise Determine whether the series is absolutely convergent, conditionally convergent, o...

A: This question is based on ratio test.

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (4, 5,-2), v = (3,...

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Q: The radius of a circle is increasing at the rate of 4 cm/s. How fast is the area of the circle chang...

A: Given,           The radius of a circle is increasing at the rate of 4 cm/s. And the radius is 5 cm ...

Q: Determine the interval of convergence I and radius of convergence R for the following series: En=1 (...

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Q: 15-30. Working with parametric equations Consider the following parametric equations. a. Eliminate t...

A: We have to eliminate the parameter eqaution of x, y and indicate the positive orientation

Q: 6. The coefficient of Sin(x) in the antiderivative of F(x) =|cos is Blank 1 (use fraction form not d...

A: This question is related to Integration, we will solve it using given information. 

Q: 12. Construct an algorithm that has as input an integer n> 1,n + 1 points and xo, X1,…· Xn ... and a...

A: INPUT: n, x0,...... ,xn, x OUTPUT: ∏i=0n (x-xi)

Q: Let F(x) = f(x)+ g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“, Determine the value ...

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Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form Judv= ...

A: Integration by parts

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: y" + 2y' + y = 7 + 75 sin 2x

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Q: Suppose that ABCD is a parallelogram, and B= (0,b), A = (-1,3), C = (4,4), D = (a,0) What are the va...

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Q: 2.6 Find the inverse of the following matrices. A. 123 В. | -| 3 3 -2 C. Use the found in A. to solc...

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Q: Determine whether the geometric series is convergent or divergent. n=1 (-6)n - 1 O convergent diverg...

A: Let's find. 

Q: Determine the equation (of lowest degree possible) for the graph shown You may leave your answer in ...

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Q: Use an appropriate definition to prove the following limits. g³ – 16x4 = 1 x + 2 9x² + 4 (а) lim Tt5...

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Q: sec x tanx (1+sec'x)² + sec

A: substitute u= sec3(x)+1 du/dx=3sec3(x)tan(x) dx = du/(3sec3(x)tan(x)) put this in equation  1/3∫ du/...

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Given :  z = < 3, 2, -7> Let's find the parallel vector-    

Q: Sketch the region bounded by the given curves, then find the centroid of its area. x = 8 - y², x = y...

A: Let's find. 

Q: Evaluate the integral i- te*j + VTk] dt 0,

A: ∫03t2i - tet2j + t7/2k dt [t3i/3 - et2j/2 + 2t9/2k/9 ]03 9i - e9j/2 + 2*35/2k (9 , -e9/2 , 235 )

Q: Find the amplitude, period, and horizontal shift of the function. y = −9 sin (2(x + ?/2

A: Given:    y=-9 sin2x+π2

Q: Determine whether the variation model represented by the ordered pairs (x, y) is of the form y = kx ...

A: here it is the y = k/x form and  now k = y*x put the value  k = 4*1 =4 k = 8*1/2 =4 k 12*1/3 =4 so f...

Q: Evaluate the iterated integral by converting to polar coordinates. –x² (x² + y?j3/2 dy dx dr de =

A:  Solution is given below...

Q: 5. Find solution of the system of linear equations. Write clean, and clear. Show steps of calculatio...

A: This question is based on solution of system of linear equation using matrix.

Q: 10x Selar. 20x dx 1- °

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Q: Find dy/dx. 1.y = 5ain a %3D

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Evaluate lim, 0 (1 - )2". (Hint: take log) 6.5 O 1 O 2 O e?

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Q: lim,y→0 sin x

A: I am attaching image so that you understand each and every step.