Book Problem 31 Find a function f and a positive number a such that f(x): a = = + [² 2+ f(t) dt = 5x-², ft 14 z>0

Q: 9 4 T ? % (0, 0) Return this question to its initial state 2 What is the slope of the dashed line?…

A: This question can be solved using the concept of condition of two lines to be perpendicular

Q: Given point A (6,5,8) and plane p with the equation 3x + 2y + 5z = - 24.

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Q: Rewrite the differential equation as. dy y(x+2)-(x+2) dx y(x-3)+(x-3) = (x+2)(y-1) (x-3)(y+1) dx (1)…

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Q: 5.Find each of the following limits if they exist. A. lim x-11 B. lim x-1+ TH

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Q: 4. Let R be the region bounded by the following curves. Use the disk method (slicing method) to find…

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Q: Find the center and radius of the circle. (x - 3)² + y² = 36 center (x, y) = radius Sketch the graph…

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Q: Using the image below, change the order of the following integral Jổ Jõ sinh(æ + y)dady = Ju Je…

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Q: Electricity rates. The table to the right shows the electricity rates charged by Better Than…

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Q: 3. Find y' for y= cos(sin² x) 4. If x=y√/1-y², find y dx

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Q: Solve the diff eq. (Homogenous) y' = ysecx

A: The given equation is: y'=ysec x⇒dydx=y sec x⇒dyy=sec x dx

Q: he probability distribution for the rando ariable, x, is x:2, 2.5,3.0,3.5,4.0,4.5 and (x):0.07,…

A: Topic:- application of probability

Q: Evaluate the function g(x)=x²+4x for the given value of x. g(x+3) g(x+3)= X S

A: given that, g(x)=x2+4x evaluate g(x+3)

Q: A bicycle tire inner tube producer can sell 1111 inner tubes at a price of $1.54$⁢1.54 per inner…

A: Given problem:- A bicycle tire inner tube producer can sell 11 inner tubes at a price of $1.54 per…

Q: 11. A = {a, e, i, o, u} 12. B = {2, 3, 5, 7, 11, 13, 17, 19, 23,... } 13. C = {1, 3, 5, 7, 9, 11,…

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Q: (a) Find the Taylor series expansion of the function et around x = 0 (b) Use the series above to…

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Q: (a) Martha invests an amount of $10000 at 3.5% compounded quarterly. What is the value of her…

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

Q: Explain whywe can't calculate everylimit lim f (x), when x approaches c just by evaluating f(x) at =…

A: Lets take a graph for refrence to understand why we can't calculate limit every where  f(x) =11-x

Q: In Problem 1-10, write the given sets by extension. when possible 1- 2 A= {x/e B₂{x|x is a 3- C =…

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Q: X Given zx 2cos u; y = 3sin v, find y O-2cos u cos v 3 sin ² v O 2sin v 3 sin u O-2sin u 3 sin v…

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Q: +1 √2 1337 =?

A: Given i+121337

Q: 2. Verify that each given function below is a solution of the differential equation y"" + 4y"" + 3y…

A: we will verify.

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

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Q: Which of the following is guaranteed by the Intermediate Value Theorem, if f is a continuous…

A: Let's solve given problem by using intermediate value theorem.

Q: 1. If x²y-xy² + x² + y² = 0 find y'.

A: NOTE: As per our guidelines, I have solved the first problem. If u want the answer of other, kindly…

Q: Determine using Cauchy Riemann equations the function below is analytic or not in z-plane? f(z) = x…

A: See the details solution in below

Q: for the following P.d.f of x, find the p(x<1) and p(x<1) .F(x)=x²/18 if -3<x<3 and 0 in other place…

A: Let's solve.

Q: 2. Evaluate y dV, where: E = {(x, y, z) |0 ≤ x ≤ 1,0 ≤ y ≤ 4x, y ≤ 3. Find the gradient vector, Vf,…

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Q: Solve the homogenous diff equation of; dy dx x²(y² + 3) y(x³ + 1) 0

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Q: 4.Find all complex numbers of the form z=a+bi, where a and b are real numbers such that zz = 25 and…

A: To find out all the complex numbers for the given condition.

Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the…

A: This is a problem related to probability. Please follow the procedure given below.

Q: Express the following functions in the form U+iv f(Z) = ln (1+z) ●

A: The given function is fz=ln1+z.We need to write it in the form u+iv.

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take x=-6

Q: -8; -11; -14; ... Determine T, the general term the number pattern.

A: Finding the general term of the sequence

Q: i need the answer quickly

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Q: Solve the homogenous diff equation of; xdx . (y+1) dy y³ e-x = 0

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Q: Find f+g, f-g, fg, and f/g and their domains. f(x) = √36x², g(x) = √x + 1 Find (f + g)(x). Find the…

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Q: 1. Evaluate the following integrals. [*(1+cos x)dx f. apa *1-√u -du

A: To evaluate the following integrals.

Q: Find the missing element in the sample space S = {x|x³x² - 17x - 15 = 0} where S = {-3,-1,__}.

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Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

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Q: If f(x)=x²+ax+b and the slope of tangent at x= -1 is 4 and the curve passes the point (2,4) Find…

A: I have stated the used formula in the solution

Q: Solve the homogenous diff equation of; y' = y sec x

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Q: b) If x(0)=5, what is x(1)?

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Q: (3) Find the radius of convergence of a) infinite b) 1 not defined 0 infinite X Σ₁ F

A: The given series is: ∑j=1∞xjj2 Let, aj=xjj2; j≥1

Q: t Find the measure of the angle between the two rectors in both radians and degrees. R = 2 Vectors…

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Q: Find the set on which the curve is concave upward. Answer (in interval notation): 2 y = ₁² R² + ² +…

A: See the details solution in below

Q: Evaluate the piecewise defined function at the indicated values. 7x if x 5 Read It Watch It 6 Master…

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Q: Find (dy/dx) for: tan-¹(x + y) + In(x³y) = sinh(y)

A: To find dydx for: tan-1x+y+lnx3y=πsinhy

Q: Extra Problem 1 The table gives values of a continuous function. Use the midpoint rule (n = 3) to…

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Q: 3. The graph of f'(x), the derivative of f(x), is continuous for all x and consists of five line…

A: The graph of f'x is given as , find the absolute maximum value of fx over the interval 0,3.

Q: A wheel with a diameter of 31 meters is moving forward at 112.1 meters per second. How fast is the…

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