4) Σ=1 (-1)^-1 √n

Q: Use the ratio test to determine whether n3n (n + 2)! n=29 converges or diverges. (a) Find the ratio…

A:

Q: dx If z² = x³ + y², = -3, dy dt dt Please give an exact answer. Provide your answer below: - - 2,…

A: Answer is in step 2.

Q: 3) f(x, y, z)=x² + y² -2=²+ = ln(x). (1,1,1) -1/2 4) ƒ(x, y, z)=(x² + y² + =²)¯¹¹² +ln(xyz),…

A: 3)    fx,y,z=x2+y2-2z2+zlnx We have,       grad∅=∇f=i∂f∂x+j∂f∂y+k∂f∂z ∂f∂x=2x+zx ∂f∂y=2y…

Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1+tan ²x) cotx =…

A: The given identity,     1+tan2xcotx=secx cscx

Q: Q2: find dw/dt at given value point for the following function

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: e) x² Cos y - £ + 2 dx = 0 dy (9²-4) (x-1) = (x+)) dx ay g) y² e²^¹ = cosh x + √eosh ²x -1 +7 e ² y'…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: Mode QuesX 4) Cor + (y + 5)² + (y + 5)²

A:

Q: Find a power series solution of the differential equation y' = 4y

A: We have to find power series solution .

Q: +3x²+7x+28 18. Using partial fraction in evaluating x³+x²+7x 1/2(2x + 1) - 17/7/2 6-2x -…

A:

Q: Suppose f(1) = 2² - 4z - 9. Compute the following: A.) f(-3) + f(2)= B.) f(-3)-f(2)= =

A: We can answer both the question as below.

Q: Find the differential dy of the function y Provide your answer below: dy= dx = 5x4 + 4 4x + 3

A: y=5x4+44x+3Differentiate w.r.t xdydx=4x+320x3-5x4+444x+32

Q: 4. What is the SECOND derivative of the given function? * y = 3x³ - 2x² + x - √ y" =9x² - 4x + 1 y"…

A:

Q: Find a set of equations to represent the graph of the rectangular equation using t=x and t=3-x. y=…

A: Find your answer below

Q: أ 12, x > 1 (b) ) 5 f(x) dx

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Q: fx,y) xyy2 x3+y3 (x,y) + (0,0) 0 (x,y) = (0,0)

A:

Q: Given the function f(x) = 3x - 7, evaluate and simplify the expressions below. See special…

A: The function is given by fx = 3x-7 To evaluate: The values of fa, fa+h and fa+h-fah

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions: a = 30,…

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

Q: Write an equation of the form y = a sin bx or y = a cos bx to describe the graph below. → 2- प्र 3 n…

A:

Q: Given the function f(x) = -1+52², calculate the following values: f(a) = f(a+h) f(a+h)-f(a) h =

A:

Q: If t is in years, and t = 0 is January 1, 2005, worldwide energy consumption, r, in quadrillion…

A: We need to solve integral porblem.

Q: Sketch a graph of f(x) if r-2 if -2 4

A: Given,  f(x)=2x+6if x≤-20if -2<x≤41.5x-6if x>4

Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

A:

Q: Q1: Find partial derivatives of the function with respect with each variable 2) f(x, y) =…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: S sin (Inx) dx? How many times will you perform integration by parts to evaluate

A:

Q: i mylliplied to ma constraints. ng range, and x minimize the function of lagi zo constraigher y of…

A: Use Lagrange theorem

Q: Given the function of f(x) = 8x² - 8x on the interval [0, 1], find a point c between 0 and 1 so that…

A: Answer is in step 2.

Q: Select the answers that best complete the given statement. The power rule for logarithms states that…

A: We can find the correct answer using the properties of log as below.

Q: Use one of the formulas in the table above to integrate dx x8 + 16 (By the way, you're going to need…

A:

Q: dx √x²=2x-4 is solved by trigonometric substitution, which of the following substitutions is used?…

A:

Q: [CLO-21 f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1…

A:

Q: Question 10 Complete the description of the piecewise function graphed below. Enter the domains as…

A: To find for which intervals does the given values of f(x) are obtained.

Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x = 2 MECHI y=0 (Type your…

A: Use derivative for finding the equation of line .

Q: 25 125 Explain why you think the series - 2 + 5 - .... 2 8 converges to a 32 finite number or…

A:

Q: Differentiate the function. 10u + 100 G(u)=1n₁ 10u - 100

A: We can differentiate the function as below.

Q: Use a sum or difference formula to find the exact value of the following. sin 148° cos 103° - cos…

A:

Q: Match each function name with its equation. a. Square Root Y b. Cube root Y c. Reciprocal Squared d.…

A: Given query is to find the name of the every function.

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

A:

Q: Find all six solutions between 0 and 2 for the trigonometric equation: sin(30) = Use the multiple…

A: The given equation,      sin3θ=12

Q: Find a potential function of the vector field. F(x,y) = (3x²y + 1, x³+2y)

A: we have to find potential function.

Q: In the model for exponential growth or decay, the amount, or size, at t = 0 is represented by C・・・…

A: The exponential growth or decay functions are given by;A= A0 ektk<0, decay modelk>0, growth…

Q: x1

A: answer is in next step

Q: 5 [x²² sec (2) com ³ (2) abr dx 7 2tan can ²2 ( 1 ) [7tan² ( 1 ) +1 + C (Α 77 11 7 2x + (-) == ² (7)…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: In t years, the population of a certain city grows from 400,000 to a size P given by P(t) = 400,000…

A: Take the derivative to find rate and substitute the value of t and simplify.

Q: Use the method of Lagrange multipliers to maximize the function subject to the given constraint.…

A: we have to find the point (x, y)

Q: The population of elk in a national park is given by the function 1000 P(t) = 1+15e-3t where t is…

A: This question can be solved using the concept of differentiation and limits.

Q: y=√√√5-√x

A:

Q: Find the average value of the function f(x): = 5x² on the interval 1<x<3

A: Given