Use the given substitution to express the given radical expression as a trigonometric function without radicals. Assume 0 < 0

Q: 0²1' (19²¹) = (1) 1

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Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x…

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Q: Find the exact values of sin 20, cos 20, tan 20 and the quadrant in which 20 lies. tan 0 = sin 20 =…

A: Solution of given question is written in below steps.

Q: Select the correct steps when differentiating from first principles. O a. O b. O C. O d. lim 0+x lim…

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Q: Find the general solution, y(t), which solves the problem below, by the method of integrating…

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Q: A spherical raindrop evaporates at a rate proportional to its surface area with (positive) constant…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Simplify the following with out 1) -5, 3+1 using the denominator

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Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

A: Here we have to choose the correct option.

Q: Use the figure below to find the exact value of the trigonometric function of angle A. sin(A) 00 7 A

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Q: Use geometry (not Riemann sums) to evaluate the following definite integral. Sketch a graph of the…

A: This question can be solved using the concept of geometry to solve definite integrals.

Q: Find the derivative of the function f(x) = (5x^4)/12

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay for 19 8 7 -6- 5 4- -3- H…

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Q: Solve the given initial-value problem. y(x) = y" + 6y7y = 11e2x, y(0) = 1, y'(0) = 1 2x -7.x 7e +…

A: We can solve the given initial valued problem .

Q: Find the arc length of the graph of y == 6 2x on the interval 2 L2

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Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: use triple scalar product to find the volume of the parallelpiped u= v= w=

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Q: Save Complete the following steps for the given function, interval, and value of n. a. Sketch the…

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Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: The Disk Method :  Consider the curve x=f(y) and the y-axis between y=a and y=b and is rotated about…

Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

Q: Evaluate the double integral. Sxy² da, D is enclosed by x = 0 and x =

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Q: Let S be the plane with equation 2x - 3y + 4z = 1. Find parametric equations of a line that goes…

A: Explanation of the answer is as follows

Q: given u= and v= find uXv

A: To solve the following problem

Q: 18. Assume that f"(x) = (x + 2)²(x-2)(x - 3)(x - 5)³. Find x-value(s) for all inflection point (s).

A: If sign of f''(x) changes when we move from left to the right of x=a then x=a is known as the point…

Q: If f′(−6)=7, and g(x)=−3f(x), what is g′(−6)? Do not include "g′(−6)=" in your answer. For example,…

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Q: S Construct a table and find the indicated limit. x³ + 343 x+7 lim X→-7 x³ +343 X+7 lim X→-7 =

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Q: Find the radius of convergence, R, and the interval of convergence, I, of the following series. (1)…

A: (1) The given series is ∑n=1∞n(x-1)n

Q: Sketch the region enclosed by the curves and find its area. Enter the exact answer. Area = y = 2x²y…

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Q: Rationalize the numerator. 2-2 sin y 2 + 2 sin y 2-2 sin y 2+2 sin y (Simplify your answer.)

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Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: In this question we have to find the value of b and c.

Q: Evaluate the integral and check your answer by differentiating. x8+8x5 - 1 x7 S dx = +C

A: To find out the integration.

Q: valuate the following double integral over the region R by converting it to an iterated integral. Se…

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Q: Dada la función f(x) = (a) Determine dy dx (b) Encuentre la ecuación de la linea tangente a x = 4 y…

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Q: find an equation of a plane passing through the given point and perpendicular to the given vector…

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. Find lim x-(-1)- O-2, -7 O-7,…

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Q: 13. Σ(-1)n+1n5.5" n! n=1

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Q: Calculate the double integral. 16 9(1+x²) 1+ y² dA, R = {(x, y) | 0 ≤ x ≤ 5,0 ≤ y ≤ 1}

A: Please see the below picture for detailed solution.

Q: Consider the graph of the function f(x) given on the next page, which consists of line segments and…

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Q: onsider the following. w=x^2/y ,  x=t^2 ,  y=t+1 ,  t=3 (a) Find d2w/dt2 using the appropriate…

A: Given :w=x2yx=t2  y=t+1t=3

Q: + 2 .4 i ti ti ti ti + i _ ។ { / - 1 "

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Q: 10. Let w = f(x, y, z) = xe. If x = t², y = 1-t₁ z = 1 + 2t, use the partial dw dt derivatives and…

A: Using the chain rule and rule of partial derivative and get the required derivative.Final solution…

Q: Test the series below for convergence using the Ratio Test. Σ n=1 n! The limit of the ratio test…

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Q: Sketch the function. 4 k(x) = -x² +6x²-8 Part 1 of 4

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Q: (2) Use a known Maclaurin series to obtain the Maclaurin series for f(x) = sin²x. (Hint: Use sin²…

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Q: Solve the given initial-value problem. y(x) = 7e y" + 6y' - 7y= 11e2x, y(0) = 1, y'(0) = 1 2x -7.x +…

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Q: The function g is related to one of the parent functions  g(x) = |x − 1| + 5 a.) Identify the parent…

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Q: Find the radius of convergence R of the series. Σ 4²(x + 4)" n = 1 R Find the interval of…

A: To find the Radius of convergence and interval of convergence of the given series.

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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