e2x dx 10. V1+e2x

Q: dx Perform the Integrations 1+ sin x+ cos x Use the editor to format your answer

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 5y + 5, 0 ...

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Q: Find the moment with respect to x 2a the area bounded by x y and x2 = 2ay.

A: Given area is bounded by x=y and x2=2ay.  To find: Moment with respect to x=2a.   From x=y We get th...

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power...

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Q: Suppose f " is continuous on (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ...

A: Given that, (a). f'(-3) = 0  and   f''(-3) = -9 (b). f'(5) = 0  and   f''(5) = 0 We have to choose c...

Q: a | t. (a² – t²)®* dt 0.5

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Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y? – 6y = 0 ...

A: The given curves are: x2+y2-4y=0 y=4-x

Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: lim 1-3メ) 2. X->

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given data and correct graph÷

Q: Find all critical values and critical points of the function given, then find the regions where the ...

A: The answer is in step 2.

Q: . A rectangular box of height h with square base of side b has volume V= 4m³. Two of the side faces ...

A: Given:   Data is given

Q: Find the indefinite integral. (Use C for the constant of integration.) 15 COS x sin x dx

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Q: Evaluate the integral

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Q: Find the indefinite integral using the substitution x = 8 sin 8. (Remember to use absolute values wh...

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Q: Column A 1. xy = 2 3x²y – x = 5 3. 3y(y – 10) + 24x = 0 4. (x - y)? = x + y - 1 5. 2/xy = 3 x+y = X ...

A: We will use simple differentiation rules to solve this question.

Q: Consider the following equations. f(y) = y2 g(y) = y + 2 Sketch and shade the region bounded by the ...

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Q: prove tañcy) dy

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Q: Express your answer in rectangular form both in EXACT value and approximate value. Round off approxi...

A: z = -256 - i2563We need to find 9 roots of 'z'.   -------------------------------------------  

Q: Write the function whose graph is the graph of y = +1, but is reflected about the y-axis. y-O (Simpl...

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Q: P(x)= x^3-2x-4 a) factor P into linear and irreducible quadratic factors with real coefficients  b...

A: Here, the given polynomial is: P(x)=x3-2x-4

Q: Select the basic integration formula you |(15cos(7x))esin(7) dx e du u du cos(u) du sin(u) du Identi...

A: here we use substitute method so  u = sin7x du/dx = 7cos7x dx = du/7cos7x so put this value in equat...

Q: - 1) (2r + 1)½ (4x – 1) dx Perform the Integrations

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Q: xcos(2x² + 7)dx

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: Perform the Integrations sin(r)dt

A: To Find : ∫sin(t)dt

Q: d²y The points (1,3) and (0,2) are on a curve, and at any point (x, y) on the curve, dx² 5 – 2x. Fin...

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Q: Decide whether the integral is improper. 6 dx 5 X O proper O improper Explain your reasoning. (Selec...

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Q: 0. Find the area enehred by the following curves: * =y-2 and X =y.

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Q: Find the function that is finally graphed after the following transformations are applied to the gra...

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Q: dy Use logarithmic differentiation to find given that dx c-'(yT) y = 4sech(5z) (log6 x)=`

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Q: Sketch two functions F such that F = f. In one case let F(0)=0. And in the other, let F0)=1. 1 f(x) ...

A: F'(x)=f(x)x>1:f(x)=1∫ F'(x) dx = ∫ f(x) dxF(x)=∫1 dxF(x)=x + CF(0)=0+C0=0+CC=0F(x)=x ;   x>1x&...

Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

A: (a) False Consider the gradient vector at (-2,2) Given: ∇f(-2,2) = -4i + 3j This is false because at...

Q: Evaluate the integral J sin. sinh? (2x) cosh (2x) dx. sinf(2x) A +C 9. sinh(2x) +C B 8. costf(2x) + ...

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Q: The number of bacteria in a culture is growing at a rate of 2500e2/5 per unit time t. Find the numbe...

A: Given db/dt= 2500 e^(2t/5)

Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

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Q: Let a = ci +j and b = 6i+ 8j. Find c so that the angle between a and b is Round your answers to four...

A: Here the given vectors are a=ci+j & b=6i+8j

Q: Question 1 Find the indefinite integral of F (1) = / te*dr. A 28 e to the power of 4 t squared end e...

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Q: The derivative of f(x) = %3D 3. 5' attains its maximum value at r =

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Q: (2+vx)² X dx Vx

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Q: Column A 1. xy = 2 _2. 3x?y – x = 5 _3. 3y(y – 10) + 24x = 0

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: Find the volume of the solid generated by revolving the region bounded by y = 3x, y = 0, and x= 2 ab...

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Q: Question 3 Evaluate the Integral |(4-3sin2p)+ cos28 dp. (A 30 -(4– 3sin2ß) $+ C B -(4– 3cos2B) 5+ C ...

A: lets assume that u = 4 -3sin2β du/dx = -6cos2β dx = -du/6cos2β   ∫ -u4du/6 -u5/30 +c now put the u v...

Q: The coefficient of sin(2x) t F(x) =(cos() is Blank 1 (use fraction form not decimal no space) in the...

A: To determine the coefficient of sin2x in the antiderivative of Fx=cosx26.  

Q: Let f(x) = (2x + 4)/(5x + 2) . Find the equations of the horizontal and vertical asymptotes of y = f...

A: Given:      f(x) = (2x + 4)/(5x + 2) 

Q: Use the shell method to find the volumes of the solids generated by revolving the shaded region abou...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: tan¬'(5x) y = V(4x – 3x°)³ xª

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Q: Find the vector component of v = (4, - 1, 7) along b = (2, 3, -6) and the vector component of v orth...

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Q: Analyze and sketch a graph of the function over the given interval. Label any intercepts, relative e...

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