here the curves intersect, draw a sketch of them.

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A: Concept: Concavity: If the line connecting two points is above the graph, or if the first derivative…

Q: Solve the following initial value problem. f′′(x)=36x^2+30x+8, f′(−2)=−42, f(−2)=−15

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Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² y =…

A: We have to differentiate following functions using chain rule: y= x(x2+3) 2 y= (4x-10) 4 y=…

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Q: Prove the following identity: 1- tan? e cos 20 = sec e

A: solution:-cos2θ=1-tan2θsec2θ RHS=1-tan2θsec2θ        =1-sinθcosθ21cosθ2,      ∴tanθ=sinθcosθ &amp;…

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

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Q: 5x(x+1) =15

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Q: Question 3 Compute V31.6 approximately by use of differentials. 1.098 (E) None of the choices 1.890…

A: 31.65=1.995

Q: Find and sketch the domain for the function. f(x.y) = / (x - 9) (² - 4) Find the domain of the…

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Q: olve the equation. Write the solution set with the exact values given in terms of common or natur…

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

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

A: Arc length of the parametric curve :                 L = ∫αβ dxdt2+dydt2 dt.

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A: Given : B be the sphere x2+y2+z2=1

Q: Solve the system of equations (only real solutions) by the elimination method. Check your solutions.…

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Q: Question 9 Let y = tan e find the differential dy of the function. O dy = e (r – 1) sec e- da O dy =…

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Q: xArctanx - Invx² + 1 = y

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Q: 20. tan (20) = -1 %3D

A: We have to find the value of θ.

Q: 12- z - 28 - z + 20 A . The partial fraction decomposition of f(x) – C ,where A, B,CeZ Let f(z) - (z…

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Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: 72 a, = 5, an +1-1+ an

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Q: 9–x² x2

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Q: In cos x (1) lim x→0 tan x2

A: Let's find.

Q: x2-x-1 , if x 1 is 1 if x= 1 continuous at x=1 since the right and the left limits are equal at x =…

A: f(x)=x2-x-1if x&lt;13x3-4if x&gt;11if x=1

Q: cos² (3n+7 {a,} = 3n² +1

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Q: Solar Power More and more businesses and homeowners are installing solar panels on their roofs to…

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Q: On what interval(s) is f(x) increasing? Decreasing? Explain

A: Given the graph of the f'(x)

Q: To evaluate f dx, we choose : ,dv = xdx b)u = Vx - 1, dv = x dx %3D du

A: ∫xx-1dxLet u=x-1.=∫ 2u2+1du=2·∫ u2+1du=2∫ u2du+∫ 1du=2u33+uSubstitute back…

Q: 13. A population of yeast cells can double in as little as 1 h. Assume an initial population of 80…

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Q: 2. Error Analysis. Writing an exponential function from a graph. • Carefully indicate the errors you…

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Q: x² Consider the function f(x) = =*. x2-1 (c) Find the intervals of concavity and the points of…

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Q: The integral (4 – y²)²dy represents the volume of a solid. Sketch the region, rectangular element,…

A: Here, the given integral is: ∫02π(4-y2)2dy which is of the form  π(outer radius)2-(inner…

Q: cos 0 tan 0 + sin 0 Express as a single trigonometric function of 0. cos 0

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Q: What are the two values of k closest to 1 - 4 for which S sin? (x +4) – cos² (x + 4) dæ has a value…

A: The solution is given in the next step.

Q: Sexe" ds, C is the line segment from (0, 0, 0) to (1, 2, 3)

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Q: 4 y = ,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n c. u.)

A: This question is based on finding volume of solid.

Q: Find the equation of the line tangent to 2e"y = x + y at the point (2, 0). Write the equation in…

A: Given query is to find the the equation of the tangent to the curve.

Q: 6. (D2 – 6D + 8)y = e2x + sinx %3D

A: The given differential equation is: D2-6D+8y=e2x+sinx   So, the auxiliary equation is: m2-6m+8=0

Q: The function Y = has undergone the following sets of transformations IfY-x passes through the points…

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Q: .5 dx Vx4 – 2x2 + 1 b. 3

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Q: Evauate: |(*+xy) dx+ Cy- xy)dy; C: the x-axis from the origin to 2,0) and then line x-2 from (2,07…

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Q: Which of the following is the particular solution of a nonhomogeneous differential equation…

A: Here, given that: yc=c1x2+c2x3⇒y1=x2, y2=x3 And, u1=2x-3x2, u2=2x+3

Q: Evaluate The Work Done By The Force Vector, F= (6x^2+3y)I – 15yzj + 10x^2zk From (0,0,0) To (1,1,1)…

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