(a) If f is an even function and g is an odd function, prove that fog+g²(x)f(x) is an even function.

Q: Find an equation of the tangent to the curve f(x)=√√x+4 that has slope 4

A: The equation of the curve is given as  f(x) =x+4. The slope of the tangent, m= 1/4.

Q: graph of a function f is given. 1 0 1

A: we will find the required.

Q: (a) If lim X-3 (b) If lim X-3 f(x)-5 X-3 f(x)-5 X-3 2, find lim f(x). X-3 = 4, find lim f(x). X-3

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Q: Q8: For -1<x<1,1+x+x (A) (5) () )

A: 8) For -1&lt; x &lt;1, 1+x+x2+x3+........=?

Q: Use l'Hôpital's Rule to find the following limit. e7h - (1+7h) h² 2 lim h→0

A: On putting h=0, we are getting 0/0 form

Q: In (n+1) In (2n+1) 7) The sequence an a) Converges to 2 b) Converges to 1 c) Diverges d) None of the…

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Q: Use the function m(x) = = 2x - 34 √6-X to answer the questions below.

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Q: 2 (x)=√x+16. a=3

A: Topic:- application of derivatives and calculus

Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1,…

A: Given points A( 1 , 0 , -1 ) B( 3 , -4 , 0 ) C( 1 , 2 , 4 )

Q: Write the x-value based on the question, put n/a if there are none. What are the absolute minimums…

A: Given:

Q: sider the function g: (0, π) → R defined by g(x) = sin² (x) -√3 sin(x). Compute g'(x) and g" (x).…

A: We will find the required.

Q: Use first principle to find derivative of y=4-2√(x+3)

A:

Q: If (f • g) (+₂) = O x-2 2x-4 x+5 and f(x) = 32, find g(x). x-2'

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Q: K- Find the limit. lim (3x-√√9x-2x+2) 818 OA. -00 B. 3 O C. -6 OD. O

A:

Q: 10. Find the points of any absolute extrema off on the interval (-4,-1]. x³ + 8x² + 19x + 12 x + 4…

A:

Q: Find the limit. 2 x + 8x -x x² lim √x X→∞

A: Given :limx→∞x2+8x-x

Q: Suppose that in a monopoly market, the demand function for a product is p = 160 -0.20x and the…

A:

Q: Find all the values of x such that the given series would converge. (x - 7)" 7n n=1 The series is…

A:

Q: f(x) = √x-2 x-4 ; C = 4

A:

Q: Find the derivative of y with respect to the appropriate variable. y=cosh ¹2√√x+10 O A. B. O C. O D.…

A:

Q: d² y Find the solution of the differential equation 2 d\x² conditions (0) = 1 and y' (0) = 2 d V 4…

A:

Q: lim G(x) X-2* Select the correct choice below and, if necessary, fill in the answer box complete…

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

Q: Evaluate the integral. +1 O √t O A. B. dt c. 216 5 864 5 432 5 D. 432

A:

Q: Tes 4-) Calculate the of the function derivative y sin² ((512)-x) Sin (x+6)

A:

Q: Move the limit inside the natural logarithm lim In 2x x-2 ⇒ In lim 2x x2 Move 2 outside of the…

A: Limx-1/2 ln(2x)

Q: f(y)= 2y + 1 3y + 4

A:

Q: 5. A moving particle has its velocity given by the quadratic function v pictured in and A2 , as well…

A: Given, The velocity graph is shown as A1=76A2=83s0=0.5 Note: For solving part d, we need to use…

Q: A company produces a special new type of calculator. The company projects that if it charges a price…

A: A company produces a special new type of calculator. The company projects that if it charges a price…

Q: Use the integrating factor method to find y solution of the initial value problem ty = y-2t²…

A: given  ty'=y-2t2cos(3t)y'=y-2t2cos(3t)ty'=yt-2tcos(3t)y'-1ty=-2tcos(3t)

Q: Consider the curve given by x(t) = acos³ (t), y(t) = asin³ (t) for a > 0 and 0 ≤ t < 2π. Find the…

A:

Q: Consider the function f: (-∞, 0) U (0, ∞) → R defined by f(x) = x sin(). A. For every x in the…

A: Given Data : The function f:(-∞,0)∪(0,∞)→ℝ is defined as f(x)=x sin(1x).   Concept to be used : We…

Q: 1) f(x) = x² + 2x

A: We have to find intercepts in this question.

Q: Suppose the taxes a company pays are approximately T(p) = 0.25p + 15.1 thousand dollars, where p is…

A: A company pays taxes are approximately Tp=0.25p+15.1 thousand dollars, where p is the company's…

Q: 3. Find the Standard and General Equation and other parts of the Ellipse given the Center (2,0), one…

A: Topic = Geometry

Q: )= -5 √2+1 A. D: [0,∞), R: (-∞,∞) B. D: [1,00), R: (-∞0,00) C. D: (-1,00), R: (-∞0,0) D. D: (-∞,…

A: Topic:- function      Definition:-  The domain of a function f(z) is the set of all values for which…

Q: Determine whether the improper integral converges or diverges. 8 √6x + 2 x² dx Diverges Converges

A:

Q: Vectors are drawn from the center of a regular​ n-sided polygon in the plane to the vertices of the…

A:

Q: Suppose 15 company has fixed costs of $400 and variable costs per unit ofx + 1650 dollars, where x…

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Q: 4) Which of the following series converges: 2) Σ=1 b) Σ c) En=1 nin d) None of the above

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Q: Evaluate the integral. S 9 √x (1+9√x) 5 dx

A:

Q: A company produces a special new type of TV. The company has fixed costs of $454,000, and it costs…

A:

Q: Express the given quantity in terms of sin x or cos x. 3π ( 2 + x cos O A. - sinx O B. sin x OC. O…

A: Given; Cos(3pi/2 +x).

Q: For the function: f(x) = x + 2, f(x) - f(a) x - a =

A:

Q: Solve the system using row operations (or elementary matrices). 4x -5y -5z 3x -4y -4z -4y - 4x…

A:

Q: The expression 256g³y³ √/256g³y³ = kg"y³ where: r = S = , and k =

A:

Q: Find the Inverse y = ln 4x

A: given  y=ln4xsteps for finding inverse (1)  swape x and y (2)  find the value of y (3) invese=y

Q: Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the…

A:

Q: Let lim xx+1 x-3 f(x) = xx+1 Thus function is defined for all real x When x → 3 we just substitute x…

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Q: Question 4 Find all solutions of the following equations. (a) 5 cos(2x + 3) = sin(2x + 3) (b) 20+90…

A: INTRODUCTION Trigonometric Identities are equality statements involving trigonometry functions that…

Q: Let f(x) = 3+√6 +7x. a) Find f-¹(x). f-¹(x) = 1/7x^2-6/7x+3/7 Correct. Good Job! Preview ƒ−¹(x) =…

A: