6x 4. У3 y = х+3

Q: dy find dx t - 1 If y = t and æ = t+1 dy A. 2t(t + 1)2 dx В. dy = t(t+1)² dx dy 2t С. dx (t + 1)? dy...

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Q: Using the graph find the following: (6.5) a. lim f(x) e. lim f(x) X-4 (4.2) f. lim f(x) (2). (6.2) b...

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Q: 1 cot е. n=1

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Q: asider the function f(x) = e" on [0, 2), %3D

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Q: 44. Write the complementary function for the given DE.

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

Q: dx 4x x 3.

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Q: Given the data table Years U.S. Population (millions) after 2000 1 285.5 295.5 8. 303 10 0. Use the ...

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Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) - ...

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Q: Given the following real-valued vectors, find the length of arc, n the indicated values of t. 1. F()...

A: As we know that; The expression for the length of the vector-valued curve; L=∫abdxtdt2+dytdt2+dztdt2...

Q: Use technology to evaluate the given expression. Take 1.3 7.3 A = 1.6 -2.34 5.7 and B = 5.3 0 O 12.9...

A: A=1.6-2.345.744.9012.9 and B=1.37.35.305.56.3

Q: Consider the integral arctan(x)dx where -Is. a<bs I. Making the substitution u=-2x , determine the d...

A: We have to find new function and upper bound

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A: Given function, It can be solved by converting denominator Into (x-2)2 form Then by substituting  u=...

Q: If f(x)=10sin(x)+3cos(x) , find a function g so that g"(x)=f(x) given that g(0)=0 and g(2)=12 . g(x)...

A: Given query is to find g(x).

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Q: ax +1) dx

A: we want to find the value of integral ∫ax2a(x2a+1)3xdx

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A: This question is based on finding inflection point of function.

Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

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Q: The deviation of each observation (y) from the mean of the response variable is positive for every p...

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Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

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Q: 16

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Q: Solve the following problem related to function. (Show your solution) 4. What is the equation of the...

A: Given, fx=x+1 We have to write the equation of the graph of a function when fx=x+1 Vertically stret...

Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest t...

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Q: ax²ª (x2a+1)°dx

A: Given,           ∫ax2ax2a+13xdx

Q: 3 -dx 4 - x

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Q: Obtain f (x) as a polynomial in x using Newton's divided difference formula for the following data. ...

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Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr %3!

A: Here, the given function is: f(x)=x3+1 Now, the Simpson's rule formula to approximate the definite i...

Q: Solve for x, y, z and w. (Enter your answers as a comma-separated list.) х- у х-z y - w (х, у, z, w)...

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Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in./ min. Com...

A: Given:Coffee is draining from a conical filter into a cylinde rcoffee pot at the rateof 9 in3/min.To...

Q: When a bullet is fired into a sand bank, its retardation is assumed equal to the square root of its ...

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Q: Create a question covering Inequality (quadratic)

A: quadratic inequality

Q: Convert the point (1, , V3) from cylindrical to spherical coordinates. A. (2. 5. 5) 4' 6 В. 2,

A: To convert cylindrical coordinates (r, θ, z) to spherical coordinates ( ρ, θ, φ) we use following fo...

Q: 2-Vn n=1

A: Here, the given series is: ∑n=1∞2-n=∑n=1∞12n=∑n=1∞12n2 which is a positive term series for all n.

Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

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Q: 3. Given that r(t) = 3 sin ti+3 cos tj+4tk (1) Find the length of the curve for 0 <t<T/2 (2) Reparam...

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Q: Graph the function y = 9 – 3cos(50rt) without a calculator starting at t = 0.

A: In order to get the exact graph of the function y=9-3cos(50πt) some points for which calculator is n...

Q: Let F(x,y,z) = (y,x²,zy) where C:R(t) = (cost,sin t , 3t) and t e [0,2]. Evaluate %3D %3D •dR

A: We have to find value of given Integral.

Q: f(x) = -9.1688 × 10-6x³ + 2.7961 × 10-3x² – 2.8487 × 10-lx + 9.6778, Find the derivative at x=1.8 us...

A: f(x)= -9.1688×10-6 x3+2.7961×10-3 x2 - 2.8487×10-1 x +9.6778 X = 1.8 f(X) = f(1.8) = 9.174039892 h =...

Q: Evaluate the following integrals. 1. 4.x3 sec-1 æ dx cos VT dx x Csc Vx 2. dx V4x – x2 3. -

A: Given problem:-

Q: Answer this question please.

A: Rotation of matrix about a line through origin : Change the given point into polar form and check th...

Q: Let f be a function defined on the closed interval -4sxs4. The graph of f', the derivative of f, is ...

A: Let's find. 

Q: The least squares equation, y= 18.9476+1.1842x. If y= 66.3156, what is the value of x? *

A: On solving this we will get

Q: What is the general solution to the differential equation 2e* cot(y) dx – (4 + e*) csc²)dy = 0 ? (4 ...

A: Here, the given DE is: 2excot(y)dx-(4+ex)csc2(y)dy=0

Q: (c) z = 5x + 2y where x = 1+ 2cos(t), y = sin(t) – 3 andt = dz answer: dt dz 2cos(t) – 10sin(t), = -...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: Question 1 Consider the function (x²y² – y³ x2 + y2 if (x, y) # (0,0) f(x, y) = %3D 0, if (x, y) = (...

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Q: Which of the following is the general solution to the differential equation 4xyº = -x² – y² for x> 0...

A: The differential equation is given as , 4xydydx=-x2-y2 find the general solution.

Q: he differential equation (8 – r²)dr = %3D r² (1n (;) – = 0 cos cos = 0 (r+ 4) (in (;) –

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Q: Given f(x) = Vx+ 8, find f' (-4) using the definition of a derivative. %3D Provide your answer below...

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Q: cos(2x) dx sinx+cosx

A: Given: ∫cos(2x)sinx+cosxdx

Q: Complete the following statements, if s(1) is a position or displacement function.

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