Consider the indefinite integral 26 dx: (x7 + 6)"

Q: Howat Find the akeas fax the fallewing regions Area enclosed by the diagram to V= Sin 3o

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Q: Question- Let R be the region bounded by x= y-25, and x= 1. Then draw the region and. evaluate the…

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Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: 1. Find the maximum value of r+y subject to the constraint r+ y = 18.

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Q: Which of the following statements is not correct? O a. In(1+2+3) = In(1)+ In(2) + In(3) O b.…

A: We solve this question by log properties.

Q: 1. Ihe rodius of a circle is 9 centimeters. What is the area? 2. The diameter of a circle is 12…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: d d Calculate ri(t) · r2(t)] and [r(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: 6. A square plate 3 ft on each side is submerged with the top side parallel to the surface, 5 ft…

A: This is a problem related to force exerting on square plate by water. Based on Archimedes principal…

Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

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Q: Identify the conic section 9a2 – 16y? – 36æ – 96y = 252 | - Parabola Hyperbola Ellipse What are the…

A: The genreral equation of conic section Ax2+By2+Cx+Dy+F=0if A=B≠0  then it is circleif A≠B and…

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = e"i+e-tj K(t) =

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (14, 11, -6) Vw(14, 11, -6)…

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Q: p(x) = sin x cOS X Select the correct response: o tan x O cos x - sin? a sin? r – cos² x .2 -

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Q: y

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Q: Determine whether the result of the given integral is true or false 5600 TT. 3 6 I| 8rz dz drde = 3.…

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Q: t dt. Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) =|…

A: f(x)=∫3xt7dtf'(x)=ddx∫3xt7dtBy fundamental theorem of integral calculusf'(x)=x7

Q: p(x) = sin x cOs x Select the correct response. Otan x O cos? r - sin? r COS sin? x – cos? x 1

A: p(x) = sinx/cosx here i think question is sinx*cosx any of the answer is not possible so the…

Q: if it was 2K+Y た44eV 4メ=24-3VFlay) = 2f ty ア-2X find の2F うu

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Q: Find the graph of the equation 9x 2 + 4y 2 - 18x + 8y - 23 = 0.

A: We can solve this problem by using graphing calculator

Q: 2x4 h(x). 5x3 + 6 Select the correct response:

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Q: [3 Compute the matrix exponential e4t for the diagonal matrix A =

A: Given,  A=3004

Q: | (2x – y) dx + (x + 3y) dy. Evaluate C: arc on y = x3/2 from (0, 0) to (4, 8)

A: To evaluate the given integral.

Q: Solve the initial value problem y" – 6y' + 25y = 0, y(0) = 2, y'(0) = -3. %3D

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Q: Solve the following Initial Value Problem using Laplace transform: y" – 9y' + 8y = e-8t ; y(0) = 1,…

A: The given equation is  y''-9y'+8y=e-8t; y(0)=1,y'(0)=1

Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3.r2 + 1) cot (3.x + 1)…

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Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3r? + 1) cot (322 + 1)…

A: r(x)=cot23x2+1Differentiate w.r.t.xr'(x)=ddxcot23x2+1Apply chain…

Q: HimilFind the akeas fak the folfewing regions Area of theregion insidethe circle (r=1)and outside…

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Q: Use the Integral Test to determine if the series n2 n3 +1 n=2 converges or diverges. The series…

A: Explanation of the answer is as follows

Q: Find the length of the minor axis of the equation 4x 2 + 3y 2 - 32x + 12y + 64 = 0. 2√3 4 2√(11)

A: Ellipse

Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) : to find «(t). %3D r(t) = t’i + t®j %3D 390 t14…

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Q: -4 tan-(x) dx 1 Find (x + 1)2

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Q: Tokio tracks the monthly balance of her investment in a newly opened bank in Palawan. Refer to the…

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Q: dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

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Q: Carlo works in a restaurant and makes S6 per hour plus tips. He is receiving an average of $5 per…

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Q: What are the foci of this conic section?

A: We have to find the foci of the given hyperbola.

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

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Q: Determine the value of 4A+10B if 8x2 + 18x + 6 A Cx + B (x – 1)(x+1)2 x - 1 (æ +1)2

A: Simplify and take the suitable value of x such that A , B & C can be calculated easily.

Q: Determine whether the statement is true or false. If g(x) = f(x)sin x, then g'(0) = f(0). O True O…

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Q: dy = 2 x cos ( 3x² ) and y(0) = 1. Suppose d x What is y(1)?

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Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: Let f(x) = V31 – x. Compute f'(6) using the limit definitic f'(6) = %3D Find an equation of the…

A: Given: f(x)=31-x

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

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Q: Find f'(x). f(x) = (5x + 7) (1 – V)° 105(5x + 7)° (1 – Vã)° f'(x) = 3(5x + 7)' (1 – Va) f'(x) =…

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Q: The critical numbers of the function f(x) = x³ – 6x2 are x = 0 and x = -4. Select one: True O False

A: Given; fx=x3-6x2   As we know that; To calculate the critical numbers of the function, f'x=0.   And…

Q: Match the vector field with its graph. F(x, y) = yi KE y -5+

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Q: Find the volume of the triangular prism to the right. 12t The volume of the prism is . (Type an…

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Q: I-y 1. Let f(1,y) Find: %3D I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1, y)

A: Given f(x,y)=x-yx+y+1   a) f(2,1)=2-12+1+1    f(2,1)=14   b) f(1,2)=1-21+2+1     f(1,2)=-14

Q: J 2 sec sec x tan tan x dx

A: Let's find.

Q: Provide a step-by-step solution to the following differential equation (linear quation) y' = x3 -…

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