Iff (x) = f x² dx, what is f' (d)? Let a = 6 and d = 16.

Q: Find an equation of the line that satisfies the given condition. (Let x be the independent variable…

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Q: Part A: What is the total of the percentages shown in the chart? Answer: Answer: % Part B: What…

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Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: 5-5 TIME TO REACH A FINANCIAL GOAL. You have $33,566.25 in a brokerage account, and you plan to…

A: Let's find time to reach goal.

Q: Using the definition of a derivative, find s'(x) given s(x) = -x² - 2x + 3. Do not include s'(x) in…

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Q: Show that (u - v) × (u + v) = 2(u × v)

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Q: d'y 2) Find the dr for the function y = secx. Reminder: combine all similar terms.

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Q: Change the following integral to polar coordinates and evaluate: 4-x² [2² 0 x² + y² dy dx Sketo

A: To convert Cartesian coordinates into polar coordinates we use the following transformation, x=rcosθ…

Q: Show that y = In (x) is a solution of xy" + y² = 0.

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Q: Verify whether y(x) = 2e-*+xe-* is a solution of y" + 2y + y = 0.

A: Topic = Differential equation

Q: (a) Compute the solutions x, y of the system of two linear equations 3x + y = 1, 2x 6y = 10. (b)…

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Q: Prove that B (xX+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) = ХГ (Х)

A: We have the formula for beta function interms of gamma function is that B(m,n)=Γ(m)Γ(n)Γ(m+n)As we…

Q: You have $1,000 to deposit in the account for 1 year. Compare the following two offers. • Bank of…

A: The answer provided below has been developed in a clear step by step manner. Step: 1 A) Interest…

Q: Evaluate lim f(x) if f (x) x-5- A B -10-4 D 0 ∞ ∞ = 1 (x - 5) 4

A: To find out the limit.

Q: Question = 2 and v(y) Define as the region bounded by the functions u(y) around the y-axis, what is…

A: We need to find volume.

Q: 3 1 1 Evaluate Inverse Matrix A¹ = -1 = -1 2 2 1 2 -1 1

A: We can apply  A-1= 1/det.of A *(Adjoints of A)

Q: (30) -3≤x-3y≤6

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

Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

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Q: / Using Doolittles method for the following matrix A = 0 6 L-2 0 5. 087 L- matrix and U- matrix. 5…

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Q: Q8) (E.G.) Let ABCD be a cyclic quadrilateral and let O be the intersection of the rays AB and DC.…

A: Solution

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: The Solution is given below

Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

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Q: 2. Use the tables to find the inverse z transforms of the following e. 2z 2z-1 f. 3z 3z +1 9. Z Z T

A: Z-transform

Q: (6) The integrals represent the volume of a solid. Describe and sketch the solid. (a) √²¹2x³dx (b)…

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Q: 2. Find (a) I (b) dy dx y = coth(lnx) y=xtanh’(VF)

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Q: 3. If the derivatives of h with respect to U; for h=²u

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Q: 7. For the limit lim (x³ - 3x + 4) = 6 illustrate Definition 2 by finding values of 8 that…

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Q: 3 Evaluate Inverse Matrix A-¹ = −1 2 1 2 2-1 1 1

A: The given matrix A-1=312-12-1211 we have to find the inverse matrix of A-1. Inverse of an matrix:…

Q: Considering the definition of f(x) below, find lim f(x). (If the limit does not exist, enter Ø.)…

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Q: f f(x) = x+5*. find the derivative of this function f'(x) A. f'(x) = 5* In 5 B. f'(x) = -1 + 5* In 5…

A: Here we have to find the derivative of the function.

Q: Solve the following differential equation 1. xydx - (x + 2)dy = 0 2. y' = ysecx

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Q: Find dy/dx for the following functions:- u² (4) y=²+1 , u = 3x² - 2 (3) 4x² + 3xy - xy² = 0

A: We can find the answers in the below steps

Q: 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0 3. Check for homogeneity…

A: Differential equation

Q: Prove that B(x+1, y ) + B (x₂y +1) = B(x,y) let M(x+1)= X(X)

A: Here is the solution:

Q: Question 1 Define Q as the region bounded by the functions f(x) = x and x = in the first quadrant…

A: Volume of solid on revolution around y-axis  is given by V=π∫cdf(y)2-g(y)2dy  where c≤y≤d

Q: 1. Find the DE of all straight lines with slope and y-intercept equal.

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Q: Use the binomial series to find the Maclaurin series for the function. 00 f(x) = Σ n = 0 f(x) = 1 (1…

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Q: Solve the Differential Equations. 3.44 Test for homogeneity 3. f(x, y) tanx - sec²x - cosy

A: Let's find function is homogeneous or not.

Q: Find the y-intercepts of the graph of (x−3)^2+(y+6)^2=100

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Q: The point P(1, 0) lies on the curve y = sin( 13 (a) If Q is the point (x, sin(¹3″ )), find the slope…

A: Note :- “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 13) 16) x2/3 x + 1 x³ x² +1 dx dx

A: Given data:- 13) ∫x23x+1dx 16) ∫x3x2+1dx

Q: Find dy/dx fc (1) y = x³ Inx ,,2

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Q: Write the interval of continuity for the function below: sin(x)√81-x2 x²+x-6 f(x) -

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Q: The side of a cube is 11 m with a possible error of 0.02 m. Use differentials to approximate the…

A: Given that the side of the cube is s=11 m with possible error =0.02 mSolution :volume of the cube…

Q: grow art thrive, eventually reprodur the population. (+/24) 10" ³ = 1×2⁰

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Q: A rectangular box with no top is to have a square base and a volume of 30 ft. The material for the…

A: This question can be solved using the concept of functions and its domain.

Q: Using continuity, evaluate the limit: - 1 sin(z + sin(x)) lim X→ -

A: Topic- Limits

Q: B. Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer…

A: Let's eliminate the arbitrary constant.

Q: Find the General Solution Choices: 1.x4=c2(4x2+y2) 2. X2=c2(4x+y) 3. X2=c2(4x2+y) 4. X4=c2(4x2+y)

A: Since this a homogeneous differential equation of degree 2 thats why we replace y=vx and solve it to…

Q: Use one or more logarithm identities to show that In (2) In(x) for any > Use one or more logarithm…

A: we have to do as per the question.