Given f(2)= 7, f'(2) = 6, 6f(x) if g(x) x + 1 then g' (2) decimal equivalents). = (Enter your answer as an integer or fraction. It will not accept

Q: An equation of an ellipse is given. ²+12²=1 (a) Find the vertices, foci, and eccentricity of the…

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Q: Use L'Hopital's Rule to find the limit or state that the limit does not exist (DNE): tan (√5x) 10x…

A: Given,           limx→0tan5x10xTo find : Use L'Hospital's Rule to find the limitWe kno that,…

Q: For the function f(x) = 5x - 5x, evaluate and simplify. f(x +h)-f(x) h

A: Given query is to perform indicated operation m

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DN 2x sec X lim…

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Q: rting to polar coordinates. dy

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Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

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Q: Sketch the region R and compute ff 2xdxdy, where R is the region bounded by x = y² and (x-1)² + y² =…

A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

Q: The formula V = kr4 is used to predict how much the radius of a partially clogged artery has to be…

A: Given V = kr4where V = volume of fluid flow k = constant r = radius

Q: If C is a constant, and f(x) = | ƒ(x) = ln(Cx³), find and simplify the third derivative: ƒ'''(x) =

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Q: Find the points at which the following polar curve has a vertical or a horizontal tangent line. r=8…

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Q: 12 C 10 B A 2 F G H D E

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Q: › = √²) f(u)du what is dg / dx? Suggestion: Let x² = v and use the chain rule. _g(x) =

A: Given query is to find the derivative.

Q: 2 2 Find the area of the surface cut from the paraboloid x² + y² + z = 0 by the plane z = -20.

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Q: Given the geometric sequence: 28, Find a11 196 13 - 1372 169 = 28. Find an explicit formula for an,…

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Q: Suppose that so h(x) dx = Answer the following: A. Suppose that h is an even function. Evaluate…

A: Since you have asked multiple parts in a single request so we will be answering only first three…

Q: b) Solve by direct integration: er dy dx dy 8 given y-5, when x=0

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Q: Coefficients Linear in two variables. Find a general solution of the differential equation (2x -…

A: Let's solve given differential equation.

Q: Let f(t)= e¹t2 + cos(3 t) e5t then е L{f(t)} = ? O F(s) = F(s) = 2! (S-1) (s²+9) (s-5) F(s) = + 2! S…

A: Use property of Laplace

Q: A large rectangular movie screen in an IMAX theater has an area of 9,064 square feet. Find the…

A: To find the length and width.

Q: 0 5. 21 ) Let A=[¹²] and B= [¹ Find AB. 13

A: Given query is to find Matrix product.

Q: Consider the given function and the given interval. 14x f(x) = (1+x²) 2¹ [0, 2] (a) Find the average…

A: According to question,Given Function,fx = 14x1+x22

Q: Find the Laplace transformation L {f(t)} if f(t)= (t + 1)² ? s²+2

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take Laplace

Q: Find all real numbers k, if any, for which no real solution for k -2 and 2 -4 and 4 2 [₁2³ dz r³ dx…

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Q: Question 8 Consider the indefinite integral U= du = x5 (x6 + 4)6 This can be transformed into a…

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Q: Let C be the curve f(x) = the length of C, as follows: In(x) X 2 4 - between x = 1 and x = e.…

A: Arc length

Q: 9) Solve: (x + y)dy-(z-y)dx=0 a) x² + y² = C b) z² + 2xy + y² = C c) z²-2ry+y²=C d) z²-2ry-y²=C

A: We need to solve D.E.

Q: : You need to provide a clear and detailed solution for the following Questions: Question 1 Given…

A: Solution: Given data, y"-7y'+10y = -2e3t

Q: Use reference angles to evaluate sec Enter the exact answers. For the number 7, either choose from…

A: Given query is to find the value of the expression.

Q: Which of the following represents the series? −13 + (−7) + (−1) + 5 + 11      b    c    d

A: given  series is  -13+(-7)+(-1)+5+11first term is   -13

Q: ppose that x = f(y) is determined from the equation y = x + sin(3x) on a neighborhood of O. Find…

A: Given query is to find indicated derivative.

Q: Find the length of the cardioid r = 3+3 cos 0. The length of the cardioid is (Simplify your answer.)

A: formula for  length of cardioid is  L=∫abr2+(drdθ)2dθgiven  r=3+3cosθdcosθdθ=-sinθ

Q: Use the translation theorem to find: L{f(t)} A) f(t) = te4¹

A: CONCEPT: According to first translation theorem  Leatf(t)=F(s-a)   so  Lt=1s2

Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: Suppose a linear function has a vertical intercept at y = -9 and a horizontal intercept at x = 15.…

A: Linear equation

Q: 14 6,¹ 3 Suppose f(x) dx 3 S f(x) dx = [ 14 = 15. Find

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Q: If ƒ(x) = 4x² – 5eª, find: ƒ'(x) = f'(1) = ƒ''(x) = f''(1) =

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Q: If G(x) is an antiderivative of f(x) = 2 + sinx and G(0) = -1-2, what is G(T)? O None of these. -3 3…

A: Given that Gx is an antiderivative of fx=2+sin x and G0=-1-2π. We have to find the value of Gπ.

Q: Find the area under the given curve over the indicated interval. y=x²: [0, 5] The area under the…

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Q: on using a single vector function (including domain) of the following curves in R

A: we have to find parametrization for the given curve ;--   a linear path along  x - y =9  from (9,0)…

Q: Let y(t) be the solution to Use Euler's Method with time step ntn 00 10.2 20.4 30.6 40.8 51.0 Yn 2…

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Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x²-xy √x-√Y lim (x,y) → (3,3)

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Q: 1. Find f'where f(0) 2 Find all = 1+sec(0) 1-sec(0)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use implicit differentiation to find sin(x²)+cos (y²) = 1 Possible Answers: dy dr dy dr = dy…

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Q: Q8: Can you answer all the parts to this question, with the working showing clearly

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Q: Evaluate the integral: flatan (be) sec² (be)]de where a and b are positive constants. If you like…

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Q: DETAILS The velocity of a skydiver, in feet per second, t seconds after jumping out of an airplane,…

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Q: Question Find the Laplace transformation s²+2 S3 L {f(t)} if f(t)= (t + 1)² ? O None of them…

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Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: 6) For the following, find the x=2 and give the first Taylor Series, write the in f(x) = ln (x)

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Q: Write the integral in rectangular coordinates, and then evaluate it. i) xyz dV where G lies below z…

A: Given that , z=1-x2 and the rectangle is R=x,y:-1≤x≤0 , 0≤y≤2 Evaluate ∫∫∫GxyzdV=?