Let Find f(x)\x= = ". y = f(x) = 31 sec x + 18 tan x 31 sec x 18 tan x d dx -f(x)\ x= 1 *

Q: How can you use the derivatives

A: Use the derivatives to prove the following: ddxsin x=cos x Let fx=sinx and fx+∆x=sin x+∆x.

Q: -3/2 Evaluate (100)-³ without using a calculator. If the value is not real, enter dne.

A: -100-32

Q: The monthly demand function for a product sold by a monopoly is p = 2,056 - dollars, and the average…

A: Let's find p'(x) and maximum profit.

Q: Calculating derivatives Find dy>dx for the following functions.

A: To find dydx for the following functions: y=sin x+4e0.5x y=e6xsin x

Q: Solve the following DE: (r+sin-cose) dr+r(sin+cose)de=0 O r²+r(sin+cos) = C Or+2r²(sin-cose) = C O…

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Q: Finding slope locations Let f 1t2 = 100e-0.05t. a. Find the values of t for which the slope of the…

A: We have to find the values of t for slope of the curve is -5, f have a horizontal tangent line.

Q: Obtain the DE of the family of hyperbole with center at the origin. WITH COMPLETE SOLUTION

A: We general equation of a hyperbola having center at origin is given by, x²/a² +y²/b²=1...(i)

Q: Find the cross-product of M x N.  Tip: use the determinant

A: Given M=2(ρsinϕcosϕ+ρcosϕsinϕ)ρ+2(-ρsin2ϕ+ρcos2ϕ)ϕ+zz and N=2ρ2cosϕρ+2ρ2sinϕϕ

Q: 4. Given the rational function f(x)= x² + 4x +4 x² + 4x+3 use long division and partial fraction…

A: Topic:- application of integration and partial fraction       Note:- as per our guideline if more…

Q: Find Duf at P. f(x, y) = 5(4+ xy)³/²; P(3,4); u= NOTE: Enter the exact answer. Duf . = 1 √2 1 i+ +…

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Q: A mad scientist has recently uncovered the process for making flubber. The cost of producing F grams…

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Q: For Exercises 93–94, graph the equations on the standard viewing window. (See Example 7) 93. а. у 3D…

A: Given: 93.a.y=x3b.x-994a.y=x+4b.y=x-2

Q: The population of rats, R(t), in a small town's sewage system t years after the beginning of the…

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Q: A dietician prepares a diet specifying the amounts a patient should eat of the four basic food…

A: Given- There are four food groups- Group I: Meats; Group II: Fruits and Vegetables; Group III:…

Q: Solve - 5 sin(x) – 4 cos(x) = - 4 The smallest non-negative radian solution is: The next smallest…

A: Please see the below picture for detailed solution.

Q: f(x)= 2 sin x / 2 + cos x Find f’(x)= Simplify your answer. (Quotient Rule) Please explain it step…

A: Given query is to find the derivative of the function.

Q: Find f'(-3) if f(x) = 3 X 5 2x. f'(-3)= (Simplify your answer. Type an integer or a fraction.)

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Q: Using the method of u-substitution, 5 [²(2x - 7) ² da where U = du a = b = = = f(u) = = ·b [ f(u) du…

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Q: Find all solutions of the equation 2 sin²x - cos x 2 = : 1 in the interval [0, 2π) with ₁ < x2 < X3.…

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Q: Let C'(x) be the cost (in dollars) of producing units of a product per day. Suppose C(99) = 90 and…

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Q: webassign.net/web/Student/Assignment-Responses/submit?dep=29839538&lags-autosave ques Find the limit…

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Q: Suppose g(x) is differentiable at x = 3, g(3) = 7, and g'(3) = -2. Select all statements that must…

A: option  1 and 2 is true

Q: 62. Two passengers leave the airport at Denver, Colorado. One takes a 2.3-hr flight to Seattle,…

A: Concept Used: Distance formula To calculate the distance traveled use the formula: Distance=Average…

Q: Use the quadratic formula to solve 7x2 - 35x + 35 = 0.

A: The given equation: 7x2-35x+35=0 To solve the given equation by using the quadratic formula.

Q: Explain why or why not Determine whether the following statements are true and give an explanation…

A: We use quotient rule to evaluate the derivative of a function of the form uvwhere u and v are…

Q: Determine whether the following statement is true or false, and explain why. ln(5 + 7) = ln 5 + ln 7

A: The natural logarithm is logarithm of the base e. It can be expressed as In x or logex.

Q: Use the Generalized Power Rule to find the derivative of the function. f(x) = 4x²(3x + 1)4

A: To find the derivative with respect to x

Q: t the point (3, 0, 91). z=e¹ + x + x² +6

A: To find the equation of tangent plane.

Q: Two adjacent angles form a right angle. If the measure of one angle is x degrees, write a…

A: Given data, ∠BAC=x°∠ABC=90°

Q: Solve 3 sin(3x) = 2 for the two smallest positive solutions A and B, with A< B A = B = Give your…

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Q: Given f(x)= x - 4x³ +10. a) b) d) Find the intervals of increase and decrease. Find the local…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: For Exercises 57–62, find and simplify f(x + h). (See Example 6) 59. f(x) = 7 – 3x 62. f(x) = x – 4x…

A: Hello! thank you for question but as per our honor code, we'll able to solve only the first question…

Q: Suppose Use this to compute the following limit. Limit= Number What Theorem did you use to arrive at…

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Q: Let Calculate the following limits. Enter DNE if the limit does not exist. lim f(x) x-2 lim_ f (x)…

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Q: lf ƒ(3) = 5, ƒ'(3) = 2, g(3) = 4, g′(3) = −2. Let h(x) = √g(x) f(x)-2g(x)* Find h' (3). 76 O-1 C 13…

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Q: How is; used in this section?

A: Concept Used: L'Hospital's Rule L'Hospital's Rule states that the limit of a quotient of functions…

Q: For Exercises 9-16, determine the center and radius of the circle. 9. (x – 4)2 + (y + 2)? = 81 12.…

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

Q: The statement g(7) = -5 corresponds to what ordered pair?

A: Given data:- g(7)=-5 corresponds to what order pair.

Q: Find the revenue function, R(x). R(x) = Find the cost function, C(x). C(x) = Find the profit…

A: Note: as per guidelines we support only three subparts of questions.kindly repost next questions in…

Q: Solve 4 cos² (t) - 19 cos(t) – 5 = 0 for all solutions 0 < t < 2π t =

A: We need to solve the trigonometric equation.

Q: 2. Obtain the DE of the family of hyperbole with center at the origin.

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Q: A poll is given, showing 65% are in favor of a new building project. If 10 people are chosen at…

A: here 65 % are out of 100 in favour and 4 out of 10 probability =? this is question of probability…

Q: Given the rational function f(x)= x² + 4x+4 x²+4x+3 use long division and partial fraction…

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Q: write the domain in interval notation.

A: Given data:- (a). fx=x-3x-4 (b). gx=x-3x2-4 (c). hx=x-3x2+4

Q: Use the Generalized Power Rule to find the derivative of the function. f(x) = x² √√7+ x³

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Q: What is the 4 x 4 elementary matrix corresponding to the row operation R3 - 4R₂2. O O O O O U E A:…

A: The given operation is; R3-4R2. Repost the next question.

Q: Determine whether the following statement is true or false, and explain why. eln2 = 2

A: ex is the exponential functionand ln(x) is the logarithm function.ex and ln(x) are the inverse…

Q: 64. A map of a state park is drawn so that the origin is placed at the visitor center. The distance…

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Q: 3. The function s(t)=t-4t² +4, t20 describes the position of a particle moving along a line, where s…

A: Please note that as per our guidelines, i can answer only one question. 4. s(t)= t4-4t2+4

Q: Use the definition to p(0)=√110; p'(1), p'(11), p' p'(0)=0 Ive of 5 H 11 Bllowing function. Then…

A: