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Q: 7.) Find the limit of the following sequence with the given n-th term: an the sequence converges or…

A: an=ln⁡(2n+5)n2

Q: Consider the function Evaluate the definite integral. f(x) = Jx if x < 1 if x ≥ 1 [ f(x) f(x) dx

A: To find the integral

Q: Thanks for the help. However, the homework program does not accept that as the correct answer. I…

A: By use the shell method to find the volume of the solid generated by revolvingthe region bounded by…

Q: Which pair of points on the graph prove that the relation in the graph isn't a function? 0 -1- (2,2)…

A: To determine the pair on the graph that prove that the relation in the graph is not a function.

Q: . Let D denote the region of the plane between the parabola y = 3-r² and the line y = x+1. Computer…

A:

Q: 4. Identify the equation of the quadric surface. Then find the shape of the traces. 4z² - x² = 4y²

A:

Q: P(3, 0, 3),  Q(−2, 1, 4),  R(7, 2, 5) Find the area of the triangle PQR.

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Q: Find the limit of the function (if it exists). (If an answer does not exist, en x2-9 lim X-3 x + 3…

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Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded above…

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Q: Solve the initial value problem: 10x - 2y√x² +1 dy dx = 0, y(0) = -8

A:

Q: Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find…

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Q: If lnx = 700, find x.

A:

Q: f(x) = || x² - 25 2 x - 5 ; a = 5

A: The given function .The aim is to find the lmit of the function at  using the graph.

Q: 1.3 Question 1 Differentiate each of the following functions using the Product, Quotient or Chain…

A: Note: I am using product rules for differentiating each function as asked.

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 7…

A:

Q: Consider the function ƒ(x) = √√x+2 −9 for the domain [−2, ∞). Find f¹(x), where f¹ is the inverse of…

A:

Q: 5 -4 -3 -2 -1 9 J -4 3 2 1 -2 -3 -4 S z p-q= 0 X P Find the components of the subtraction p F q of…

A: Vectors in component form

Q: Please show your handwritten complete solution. Thanks! Obtain the general solution of the…

A:

Q: Let f(x) = Let f(x) = x2 1 16 x +4 x² - 16 x-4 x² - 16 x +4 x² - 16 X 4 - x > 0 x 0 x < 0 Find lim…

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Q: Graph the given function and then find the specified limits. If necessary, state that the limit does…

A: The given function is,Here the function is continuous for all real numbers. so we can write.

Q: Write the equation of the sphere in standard form. x2 + y2 + z2 + 12x − 4y + 2z + 32 = 0 - Find its…

A: Given equation of circle

Q: Evaluate the following integral with u substitution : ∫(p/(qx+r))dx

A:

Q: 9) Let S be the sphere of radius 3, centered at the origin, oriented outward. [x³ + 2 cos(yz)] y³ -…

A: F(x,y,z)=[x3+2cos⁡(yz)y3−10z4z3−xexy]Evaluate the surface integral: ∬SF⋅dSS be the sphere of radius…

Q: 4. If you are given $30 every year on your birthday, and put it straight into a bank account that…

A: Principal amount Interset rate According to Recursion formula:    where

Q: Connections between exponential functions and logarithms Let b be a positive real number with b 1.…

A: The given expression is,Use the exponent rule: So here we can write,

Q: 2. Using complete sentences, explain why the three graphs below have the same limit as x approaches…

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Q: Residents of the town of Maple Grove who are connected to the municipal water supply are billed a…

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Q: 15. Suppose g(x) Compute g(0) and limg(x). = [2x+1 if x #0 5 if x = 0.

A: g(x)={2x+1 if x≠05 if x=0

Q: = Jó 7xds where C consists of the arc C₁ of the parabola y 3x² from (0,0) to Compute the integral I…

A:

Q: Monica has a goal to complete a triathlon. The race consists of a 0.93-mile swim, a 24.8-mile bike…

A:

Q: Find a solution to the initial value problem, x^y + 4x³y = 8e², y(1) = -5 +8e. [Hint: Interpret the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find an equation of the tangent line to the curve at the given point. y = 6ex + x, (0, 6) y ||

A:

Q: 3-22. Define the matrix C = 0 1 c 1 cc²0 C 2c (a) Determine the values of c such that C is…

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Q: (1 point) Use integration by parts to evaluate the integral. s 5x cos(5x) dx Empoamor +C

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Q: If u = -4 then uu" = = -1 5 - 1888 1-1 and uTu=

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Q: he point (2, -20) is on the graph of y = f(x). a) A point on the graph of y = g(x), where g(x) =…

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Q: Evaluate S₁ 45 dx 1- cos (9x)

A: To evaluate .

Q: Use the graph of H shown to the right to find the limit. If necessary, state that the limit does not…

A: A graph of the function is given.The aim is to find the limit of the function  at .

Q: Pls help me with the accurate solution on a clear worksheet I am so tired of getting wrong answers…

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Q: The graph of a rational function fis shown below. Assume that all asymptotes and intercepts are…

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Q: Given vectors , and w in the picture below Draw + using Parrallelogram law 10+ 0

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Q: Consider a third-degree polynomial f(x), which has the properties f'(1) = 0, f'(3) = 0. Determine…

A: Since you are asking question with multiple subparts. We are answering only the first three subparts…

Q: Determine the type of representation that a function has when presented in each of the following…

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Q: 9.) Evaluate S-3e* the following integral: √4x²+6x²)dx +

A: I=∫[2x−3ex+14−x2+6x2]dx

Q: Find ³4.6 x5/7 $4.6 x5/7 dx with the precision of 2 decimal places.

A:

Q: The vector u has length 12 and points at an angle of 15° The vector has length 10 and points at an…

A: Given that The vector  has length 12 and points at an angle of The vector  has length 10 and points…

Q: 3-24. Consider the matrix A = 3 (a) Compute det(A). (b) Compute A-¹ 2013- Tyler Holden Linear…

A:

Q: Suppose H (x) = 7x² +6. Find two functions f and g such that (fog)(x) = H (x). Neither function can…

A: Given  and Now, Composition of two functions is denoted by and is defined as here, g(x) is…

Q: 1.) Find the derivatives of a.) y = 3e²x — 2lnx + arcsec x

A: the given equation is

Q: 24. Find the equation of the plane that contains the points (5, 0, 4), (1, 3, 3), and (3, 1,3).

A: Given dataPoints of a plane,