Evaluate the integrals. Use a capital C for any constant term. 5x + 6) dx = Preview syntax error Enter an algebraic expression [more..] TIP Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question

Q: OR = {(r, 0): 0 <r< 6 cos(30), 0 < 0 < n}

A: Follow the procedure given below.

Q: Simplify arccot1. 4 no solution

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Q: The following figure shows the graphs of y = f(x) and y = g(x), together with the indicated %3D %3D…

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Q: The following figure shows the graphs of y - f(x) and y = g(x). together with the indicated areas.…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x2 + y2 + z? (8,…

A: Gradient of function fx, y, z=x2+y2+z2 at  point 8, 7, 3

Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

A: We can solve this as follows:

Q: A force of 30 N compresses a spring 0.3 meters from ita natural length of 15 meters. Find the spring…

A: Let's find.

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: A=3 B=6 find the average rate of change of f(x)=3/x+b between x=A and x=A+h

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Find the volume of the solid generated when the region enclosed by y = Vx, y = 12 – x, and y = 0 is…

A: Follow the procedure given below.

Q: Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = Va2 – x2 R…

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Q: Determine whether the following series is convergent or divergente: (-1)" n = 1 n' +5

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Q: The range of the function f(x,y) =16-4x-9y is equal to. [0,1] [0, 16[ This option O This option [0.…

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Q: Question 4: Let T be defined as T (v1, v2, v3) = (vl1-v2+v3, v2-v3, v1+v2) a) Find the image of (1,…

A: The objective of the question is evaluate the pre image .

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given;  Minimize :(x, y) =x2+y2 Constraint: x+2y-20=0.

Q: cos x dx 1+2 sin x

A: SOLUTION-

Q: Let y = sin(2x). If Aa 0.3 at a 0, use linear approximation to estimate Ay Ay = Find the percentage…

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Q: Find the general solution of the following nonlinear first order variable separable O.D.E.: xdy –…

A: Please see the answer below.

Q: iut n=1 Find the radius R of convergence for the series

A: Just use the formula of Radius of convergence and find it. Radius of Convergences, R= 1

Q: Solve the problem. Given the velocity and initial position of a body moving along a coordinate line…

A: We can solve the given problem as follows:

Q: Simplify arccot(). 3 3

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Q: Project 13 Problem 13.1 Plot the following two functions yı(x) and y2(x) on the same set of axes.…

A: 13.1     y1(x) = e-x2 ( -2 ≤ x ≤ 2 )         y2 (x) = x4 - x2  ( -2 ≤ x ≤ 2 ) For y1(X) :    x  -2…

Q: ,2 Which of the following is true for the series e1/n n=1 Select one: O Converges to 0 O None of the…

A: We need to find the convergence of series  ∑n=1∞ e1n2

Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(5t). lim (e2i + 5t +…

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = (i-)

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Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: This question is based on application of definite integral and shell method.

Q: S dy V1+9y2 3.

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 5 cos(t)i + 4 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Here is the solution

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: In the differential equation 4(3x+ y– 2)dx– (3x+ y)dy = 0, we let the substitution dw=

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Q: Identify whether the following differential equations are linear or nonlinear. State the order of…

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Q: The figure shows the level curves for a function f over a square region R. Approximate the integral…

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Q: What is true for the sequence of general terma, =1+(-1)" ? Select one: O converges to 2 O None of…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: As per our company guidelines we are supposed to answer only three sub parts of a question.kindly…

Q: Question 2 Let f: (ry. ry) and g:= (cos(t), sin(t)). Then determine the following. (a) fog.

A: This is a problem related to combined function. Based on the general concepts and formula we will…

Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z = -13. Find the following. 1. A vector…

A: The given planes are: x-10y-2z=3 and 2x-y+z=-13 Let us assume z=t on the line of intersection, where…

Q: Consider the lines defined by the equations {3 : a – 3 = y – 5 = z – 6 and 4(s) = (-2 – 2s, –2s,6 –…

A: Given lines are: l3: x-3=y-5=z-6 l4→s: -2-2s, -2s, 6-2s   We compare l3: x-3=y-5=z-6 or l3:…

Q: The value of the integral I = e-x2/7 dy is required in the development of the normal probability…

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Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

A:

Q: 9 Determine whether the series 9. 9. +...+ 9. +... is convergent or 100 1002 1003 100" divergent. If…

A: 9100+91002+91003+.....+9100n+...common ratio:a2a1=a3a2=1100First term: a=9100common ratio:…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1…

A: The given equation of the curves are: y1=x2-3xy2=0 And the bounded region is as shown below: Now…

Q: 4. Ln=1 By the series test: 3n-2

A:

Q: a L. determine whether the series Use the Integral Test to 2 Σ n=1 (2n – 1)4 is convergent or…

A: Solving

Q: 3+5n 1. an n+n

A: the given sequence,an=3+5n2n+n2

Q: Use the comparison test to verify that the following serie 00 1 Σ n=17+n7

A: