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Q: I need a solution within 15 minutes

A: Let the equation of circle x2+y2=r2 ...

Q: help

A: According to the properties of integration we have: ∫[f(x)±g(x)] dx=∫f(x) dx ± ∫g(x) dx

Q: In the given equation/s as follows find the area of the given region :- y = sin x, y = sin3 x (See...

A: Given: fx=sinxgx=sin3x

Q: Given the function f(x) = x²e'a, Determine the open interval(s) where the function is concave up Det...

A: According to question given thatf(x)=x2e7x

Q: 4) e4y dy 00

A: Note:- We’ll answer the 4th question since we answer only one question at a time. Please submit a ne...

Q: Find the exact value of each expression.(a) e 2 ln 3 (b) log10 25 1 log10 4

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Q: Find the second derivative of the function.

A: From the given data:

Q: Please answer number 5 ASAP.thank you

A: To find: The width of the corridor in order that the girder can go around the corner. Given informat...

Q: I am haiving difficulties finding the global max and min for th function f(x) = (3x^(1/3))−x on the ...

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Q: Problem is attached! Need help! Please and thank you!

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Q: Calculus Question

A: Using Leibniz integral rule for differentiation

Q: In Figure, which of graphs (A), (B), and (C) is not the graph of an antiderivative of y = f (x)? Exp...

A: To find the correct option.

Q: Find the sum of the convergent series. 3 6 + + 2 3 + + 32

A: Find the sum

Q: 4 and cos B 5 where <A, B< 13 If sin A = 2 Find the value sin (A +B)

A: We will find cos(A) from sin(A) and sin(B) from cos(B) and evaluate as follows .

Q: Calculus Question

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Q: Find the sum of the convergent series. Σ 4 5 n = 0

A: Sum if given convergent series is 45.

Q: Consider the integral ∫cos(y)/sin(y)+1 dy; This can be transformed into a basic integral by lettingu...

A: Solve the integral by using the substitution method

Q: The half-life of carbon-14 is 5730 years. How long does it take for 3.9 grams of carbon-14 to be red...

A: h=5730 years. x=final amount=1.7 grams. y=initial amount=3.9 grams. t=h(ln(x/y))/ln(1/2) t=5730*(ln(...

Q: Solve f1x2 = x2 + 5x - 6x2 - 4x + 4

A: To Solve: fx=x2+5x-6x2-4x+4⇒fx=x2+6x-x-6x2-2x-2x+4⇒fx=xx+6-1x+6xx-2-2x-2⇒fx=x-1x+6x-2x-2

Q: describe the domain and range of the function. P(r, s, t) =16 − r2s2t2

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 5(1 −...

A: Convert following polar equation in Cartesian Equation. r = 5(1- Sin(θ)).

Q: Write the integral as a sum of integrals without absolute values and evaluate.

A: The absolute value of any integral contains both the positive and the negative values.Since,the abso...

Q: Part b only

A: To find following integrationI=∫tan3x.sec6xdx

Q: Q4. Math calculus. Please explain every step, step by step, even small step, clearly using any defin...

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Q: Find the particular antiderivative of f(x): given F(8) = 2. %3D %3D 6x1/3

A: take the constant out-16∫1x13dxapply exponent rule: 1ab=a-b-16∫x-13dxApply power rule: ∫xadx=xa+1a+1...

Q: Evaluate the integral using FTC I.

A: Solve the integral ∫(4x-9x2)dx by using the general power rule of the integration that is ∫xn=xn+1n+...

Q: help

A: This question is about application of reminam intergal

Q: Consider the following. y = e-x2 Find y'. y'=-2xe y' = Find the slopem of the tangent line to the gr...

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Q: Graphing a Polar Equation (Cardioid) Graph the equation: r = 1 - sin θ

A: We need to graphing a Polar Equation (Cardioid) Graph the equation: r = 1 - sin θ

Q: Find the derivative of the function

A: The derivative of any function y=f(x),containing the variable x is defined as the rate with which th...

Q: find the area of the region please

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Q: 137 COS 18 13T 4( cos +i sin ) and 37), express the result of z1 z2 in rectangular Given the complex...

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Q: Luis buys a bag of cookies that contains 7 chocolate chip cookies, 9 peanut butter cookies, 9 sugar ...

A: Let, n be the total number of cookies n=7+9+9+9 n=34

Q: Calculus Question

A: To find the integral

Q: help

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Q: Determine the area, in square units, bounded above by f(x)=−x2−8x and g(x)=3x+24 and bounded below b...

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Q: 2. Evaluate each of the following integrals using the indicated technique. (Ad- ditional techniques ...

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Q: Solve for x accurate to three decimal places.

A: The equation: 9-2ex=7

Q: Part a only

A: Explanation of the answer is as follows

Q: The .................function takes as input a real number t that corresponds to a point P=(x,y) on ...

A: Given statement: The .................function takes as input a real number t that corresponds to a ...

Q: In Problem,match each of the graphs (A) through (H) to one of the following polar equations. r = 1 +...

A: Given : r = 1 + cosθ

Q: help

A: Given: dAdt=rAA0=800A10=1800

Q: step-by-step formula and final answer in simplest form

A: Given, I=∫ln e2xx2e2xdx

Q: The functions f and g are continuous and differentiable with g' (x) = f(x). Selected values of the f...

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Q: Calculus Question

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Q: Part a only

A: Given a region R in graph and we have to find the area of R.

Q: Evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or in...

A: We need to evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (f...

Q: (iv) Solve the differential equation dy/dt + 4y 12, with the initial condition %3D y(0) = 2 and brie...

A: Given differential equation is : dydt+4y=12 y0=2

Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal place...

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Q: Use the definition of the definite integral as the limit of a sum to evaluate -3 | (4r – r) dr.

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