* Use the graph below to answer questions 7 and 8* The equation of the graph shown below is written in the form y=+k. 3-x x-h B. D A x) (d-x)(-x) = 7. The value of t is_i_than 0, the value of h is ii_than 0 and the value of k is_iii_ than 0. The correct words that complete the statement are found in row: A. greater greater greater less B. less greater C. greater greater less D. less greater greater hou

Q: Problem 11. Discuss the function f(x) = in terms of its concavity, inflection points, and local…

A:

Q: show that (to) arg = = argz

A: We have to show that  arg z¯ = -arg z.        ...A     Let us first see what is z¯, z¯ is conjugate…

Q: How much work is required to pump all the water over the top of a full cylindrical tank that is 2 m…

A:

Q: Let f(x) = 3 sin(x) + 2 cos(x). Find the following: 1. f'(x)= 3 cos(x) - 2 sin(x) 2. f'(5)-|

A:

Q: Solve the problem. Find the area between y = (x - 3)ex and the x-axis from x = 3 to x = 7. A) e²-e³…

A:

Q: -10 h(x) -8 -6 f(x) x² -4 -9 k(x) x-3 2 10 1 8 00 2 -4 -6- -8- a(r)] 2 y = 2x+ ∞ X

A:

Q: 16. Simplify. 5+ (467)⁰

A:

Q: Find the derivative of the function f(x)=(sqrt(x-1)^2))/x^2+1)

A:

Q: Problem 4 A weight attached to a spring moves up and down, so that the equation d²s of motion is +…

A: A wight attached to a spring moves up and down, so that the equation of motion is d2sdt2+16s=0,…

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: What are the solutions of the equation sin a cot z = -- 12 on the interval [0, 2π)? Drag all correct…

A:

Q: Evaluate: So fixy³ dydx

A:

Q: Factor Linear f(x)=x²-8x³+23x²-28x+12. Suggestion f(X) has some multiple root

A:

Q: Oil from a ruptured tanker spreads in a circular patter. If the radius of the circle is increasing…

A: Topic:- application of derivatives

Q: Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by the…

A:

Q: Three regions are defined in the figure. y C (0,3 R₂ B(1,3

A:

Q: A stone is dropped into a still pond. Concentric circular ripples spread out and radius of disturbed…

A: Here we have to use the concept of the derivatives

Q: If the area of a circle decreases constantly by half a square foot per second, at what rate is its…

A: Here, given that the area of the circle decreases constantly by half s square foot per second. That…

Q: Find an x such that (m) + Σkez (7) (¹524) = 0 for any m 4-2m Σκεπ 5-k

A:

Q: Find the total area of the region enclosed between the curves: 10x² +24x and =-x³ +10x² 24x

A: The objective is to find the area bounded between the curves.

Q: S₁² √2+2 f(x, y)dydx = √₂+₂ S₁² f(x, y)dxdy 2+2

A:

Q: For Item #8 - 9: The population of a certain type of animal increases according to the logistic…

A:

Q: df-1 For the function y = f(x)=x²-x-1, x ≥ 0.5, find dy (ƒ-¹) '(1) = y=

A:

Q: b. lim a-1 ²ln(1-x) X -dx

A: Given

Q: (5)  Please explain in words how a student would determine the normal vector to the direction vector…

A: explanation of determination of normal vector are as follows

Q: .4 Determine the value of A, VAT for the white loaf of bread, and B, price excluding VAT for…

A:

Q: Q.2B) If we substitute the polar coordinate x = r.cose & y = r.sine continuous function w=f(x,y)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: s) Calculate the indefinite integral using Trigonometric Substitution. X [ dx +x²

A: This is a problem related to integral. Based on the trigonometric substitution we will answer the…

Q: If f(x,y,z)=z In(x²ycosz), then fz is O 2z X OZ y O2z y O In(x²ycosz) - ztanz <|N

A: This question is related to partial differentiation, We will solve it using given information.

Q: Given the equation z=f(x, y) = ln(x² + 2y² +1) with the change of variables x=3-1² and y = 4t-1³,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve CO (z-2)² 3ln 2-2-¹³ +C In | x − 2 − ₂ + C None of the Above 2 ln | x − 2 + + C

A:

Q: Evaluate each indefinite integral. 1. (6x² + 14x - 5) dx

A: Given  ∫(6x²+14x-5)dx  =∫6x²dx+∫14xdx-∫5dx =6x³/3 +14x²/2-5x =2x³+7x²-5x

Q: 3. Integral Riemann Use the Left Riemann and Right Riemann Integral to find the approximate of (2x³…

A:

Q: Explain why the function is differentiable at the given point. f(x, y) = 9+ x In(xy-7), (2, 4) xy…

A: The linearization of a function f(x,y) at (x0,y0) isL(x,y)=fx(x0, y0) (x−x0)+fy(x0, y0)…

Q: ƒ (₂) If lim fx x-0 = L then which of the following must be true?

A:

Q: d- Find the local maxima point and Saddle point for f(x, y) = x³ + 3xy + y³ Find the dy nt (11) for…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the rate of change of the volume of a cone with a constant height of 5 m with respect to radius…

A:

Q: Problem 1 Solve (x + ex sin y) dx - (y + e* cos y) dy = 0

A:

Q: For Z= x²csc y,prove that Zxy is equal to Zyx

A: Given that,    z=x2csc y

Q: Recor Numerical Response # inverse of this function box. Record the value

A: Range of original function is the domain of its inverse function.   Given function

Q: 2.1 Calculate the value of C.   2.2 Use your answer in question 2.1 to determine the total of…

A: We have to find the value of C and calculate her change.

Q: Sketch the region enclosed by a y²-56 and x+y=0 Decide whether to integrate with respect to x or y,…

A: Consider the curves  x+y2=56x+y=0

Q: Given u = ⟨5, 1⟩ and v = ⟨11, −3⟩, what is the magnitude of the projection of u onto v? Round your…

A:

Q: 11. According to the methods of partial fraction, there is an equation of the form I B C A+ +…

A: Follow the procedure given below.

Q: QI\ A\ Find Domain and Range for this function y √x²+2

A:

Q: ect one: a. 1 rad/s b. 4 rad/s. 1 C. -rad/s 12 d. 1 =rad/s ܩ 0 30 ft

A: Topic:- application of derivatives

Q: What function will you differentiate to get each function? 3. g(t) = -3t2 + 12t - 17

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Evaluate fx cos² 2x² dx

A: Given: I=∫xcos22x2dx   ...1   As we know the common integral. ∫cosax+bdx=1asinax+b+C

Q: 1 X x2 – a 2 dx

A:

Q: Water is flowing inside a right cylindrical vessel at the rate of 1275 cm³/s. The radius of the…

A: We know that the volume of a cylindrical vessel,  V = π·r2·h where r is the radius and h is the…