4x² . Let y=f(x) = 4x+1

Q: 13. The graph of the first derivative f'(x) of a function is shown. Identify the graph of f. N

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

Q: . Graph y = sin x and y = [sin x] together. What are the domain and range of [ sin x]?

A: Given function is y=sinx and y=sinx

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A: According to given problem dθ/dt = 3 radians/minute                                           ---…

Q: 3. Let f(x)=√F. and let g(x)= (fog)(x) -√√ √2² Calculate and simplify (fog)(r)

A:

Q: Find a parametrization of the parabola x = y². Don't forget an interval for the parameter. (Hint:…

A: Please see the below picture for detailed solution.

Q: 19. The graph of f is shown to the right. For which value of x is f'(x) the smallest? [A] x=6 [B]…

A: given graph of f(x)

Q: A triangle has sides a = 2 and b = 3 and angle C = 40°. Findthe length of side c.

A: Given: A triangle has sides a = 2 and b = 3 and angle C = 40°.  To find: The length of side c.

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A: Let's solve differential equations by using homogeneous Function.

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A: Let the length of fence be L feetLet the width of fence be W feet

Q: Set f(x) = 1 7x³ + 3x + 2 . The point 1, 11/12) is on the graph of f. Find (ƒ-¹) (12)

A: we need to find f-1'112

Q: Determine whether the planes are parallel or identical. -7x + 2y - 9z = 7 21x 6y + 27z = 20 The…

A: The given planes are: P1:   -7x+2y-9z=7           and          P2:   21x-6y+27z=20

Q: Find the tangent equation to the a function x²+4y²-8=0 which is parallel to x-2y=-8. x-2y + 8 = 0…

A:

Q: eliminate  the arbitrary constant a and b: y= a+be^x

A:

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 15-…

A: Given query is to find indicated limit.

Q: Express the following logarithms in terms of ln 5 and ln 7.c. ln 7sqrt(7) d. ln 1225

A: The given expressions: c.  ln 7 7  d.  ln 1225 To express the given logarithms in terms of ln 5 and…

Q: 3 x² + y² the direction of (−3, −3). Then, Suppose f(x, y) (a) ▼ ƒ (x, y) (b) ▼ ƒ(1,4) = = = 1/77…

A: This question can be solved using the concept of derivatives and vectors.

Q: Find an equation of the line that satisfies the given conditions. x-intercept −10; y-intercept 8

A: given data x intercept =-10 y intercept = 8 this is question of geometry cartesian further…

Q: Are (-7,6,4,-8) and (-35,30,20,-40) homogeneous coordinates for the same point in R³? Why or why…

A:

Q: Evaluate (2x + 4)(3x + 2) d dx A) 6 C) 12x + 16 B) 6x² + 16x + 8 D) 30x² + 43x + 8

A: Given query is to find the Indicated derivative.

Q: 12. lim n→∞ n πί Σ[cos (+) + sec² (+)1 COS 3n i=1 TT 3n

A:

Q: 1. y = 4x+Czxe *

A:

Q: In Exercises 9-16, verify each limit using the limit definition. For ex- ample, in Exercise 9, show…

A: To verify each limit using the limit definition.9 limx→4 3x=12 10 limx→5 3=3

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A: Given: Number of digits in area code = 3 Number of digits in  local telephone number = 7 Total…

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A: Fundamental counting principle:- A rule for counting all possible outcomes in a scenario is known as…

Q: What are the important types of functions frequently encounteredin calculus? Give an example of each…

A: Function: A relation between a collection of inputs and outputs is known as a function. A function…

Q: f(x)= 9x x2+8x + 15 Vertical asymptotes: x= -3, x=-5; Horizontal asymptote: y = Vertical asymptotes:…

A: Topic:- application of derivatives and calculus

Q: Find the ratio of the area in which the line y = divides the curve x² + y² - 4x + 2y + 1 = 0.

A: Ratio is =0.91/11.65=0.078

Q: For the given function, find all as f(x) = 2 Ex 7x² + 12x - 4 +1

A:

Q: Find the slope of the line through P and Q. P(−1, 4), Q(0, 0)

A:

Q: (e) Write out the first five terms of the sequence, determine whether the sequence converges, and if…

A:

Q: Find the points on the surface 3x² + 5y² + 2z² = 1 at which the tangent plane is parallel to the…

A: This question can be solved using the concept of derivatives and planes.

Q: 7. 1 (x) == x¹- -2x³ + x-10. Find the hypercritical value(s) of f(x)=

A:

Q: In 2004, an art collector paid $172,536,000 for a particular painting The same painting sold for…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: a. In 25-In 64 +In 27 3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: a. b. C. d. e. dx x(x²+1) S S S sin ²0 cos²0 de 9dv 81-v4 Je cos(20 + 1) de x3 x²–2x+1 S

A: the solution is given below

Q: Find the directional derivative of the function f(x, y, z)=√xyz at the point (3, 2, 6) in the…

A: The given function fx,y,z=xyz We have to find the directional derivative at the point 3,2,6 in the…

Q: Which of the following is not a differential equation A. dr dy B. (2x+y) dg + 5 =0 cởi treo Dyxdx ao…

A: We need to choose correct option.

Q: Find Vw. w = xe³y sin 6z NOTE: Give your answer in unit vector notation; that is, in terms of i, j,…

A: Given, w=xe3ysin(6z)

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Indicate the degree and determine the solution of the following equations. Homogeneous DE 1. 2(2x²…

A:

Q: 1. (Section 15.8) The function f(x, y) = z²y has an absolute maximum and absolute minimum subject to…

A:

Q: determine (algebraically) whether the given function is even, odd, or neither.   f1x2 = x3 - 4x

A: A function f(x) is said to be odd if f(-x)=-f(x)and even if f(-x)=f(x)Given function is f(x)=x3-4x.

Q: Solve the differential equation (d2y/dx2) - 7dy/dt = 0 if y(0) = 1, and dy(0)/dt = 1 A.…

A:

Q: At what point does the tangent line to the curve y=3x4 -10x+3 at x = 1 intersect the x-axis?

A: Explained below

Q: The 1986 explosion at the Chernobyl nuclear power plant sent 1000 kg of radioactive cesium-137 into…

A:

Q: 10. x dy dx = y + √x² = y²₂ x>0

A:

Q: 1. v and w are two non-parallel vectors. If 2v-3w and v-(x-1)w are parallel vectors, find the value…

A:

Q: A tank has the shape of an inverted circular cone with height 10 m and base radius 6 m. It is filled…

A:

Q: 1. Find the slope of the curve x²+ y² -6x - 4y - 21 = 0 at (0,7). Compute also the tangent line and…

A: Since you have posted multiple questions I can do first question as per our company guidelines.…

Q: Find the number in the interval [0, 2] such that the number minus its square is as follows. (a) as…

A: Solution