1. ſ (x-1)dx x2+5x+6

Q: Find an equation for the hyperbola described. Graph the equation Center at (-5,-4); focus at…

A: We need to find equation of hyperbola.

Q: Which of these equations represents a line that is perpendicular to the line in the graph below?

A: Two lines are perpendicular if the product of their slopes is equal to -1

Q: 4. State the domain and range of the inverse of the following function y=2√x+1,

A:

Q: The graph of a function f is given. Use the graph to estimate the following. local maximum local…

A: Please see the below picture for detailed solution.

Q: I. Find the solution set of the following. 2(1 + cos x) sin x 3. tan X 2 x = [0, π]

A: We can find the answer in the following steps.

Q: Find the average value fave of f(x) = x5 between -1 and 1, then find a number c in [-1,1] where f(c)…

A: We have to find the average value of function and value of c.

Q: Find the limit and determine if the function is continuous at the point being approached.

A: This question can be solved using the concept of limit and continuity.

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: f(x) = x3 -3x2 + 3 here we have to find the relative maximum and minimum point  from second…

Q: Find the volume of the solid generated by revolving the shaded region about the given axis.

A: We need to find volume.

Q: Use the Principle of Mathematical Induction to show that the given statement is true for all natural…

A:

Q: Evaluate

A:

Q: This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A…

A: Question: (a) Find an exponential model for the number of bacteria in the culture after t hours. (b)…

Q: Water is leaking out of an inverted conical tank at a rate of 11700 cubic centimeters per min at the…

A: Let's find rate of water is being pumped into the tank.

Q: 2 2 lim √x + 6x - √√x - 8x X-00

A: We have to evaluate limit in this question.

Q: Using polar coordinates, evaluate the integral Se sin(x² + y²)dA where R is the region 4 ≤ x² + y² ≤…

A:

Q: X

A: Slope intercept form of line  y=mx+b Here m=slope, b= y intercept

Q: 9. dt + 을 = COS t + Answer: s = sin t + 을..

A:

Q: Given that his a function and h(-3) = 0, which one of the following must be true? Bubble ONE answer…

A: Please see the below picture for detailed solution.

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A:

Q: What type of graph is this? A parabola An absolute value graph A hyperbola A linear graph

A:

Q: 5. What is odd and even function?

A: We have to define odd and even function.

Q: I = 3/√/2 6.³ 0 /9-y² Ivo e³x²+3y² dx dy y

A:

Q: 3 -3 f(z) dz = 0 and 7 3 f(2) dz= 7. Find [f(x) dx. -3 7

A:

Q: 4. If = tanx, show that the relation y' = 1 + tan²x.

A: Let's solve.

Q: D O O O 59 2 04 Question 16 Evaluate lim N-00 12 01 3|2 • Σ [()* - (-)] ++ N by using it as a…

A:

Q: 7. Differentiate w.r.t x- sin 5x cos 3x 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A:

Q: estimate the area under the graph f(x)=2x2+1   from x=0 to x=2 use four rectangle and the right…

A:

Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

A:

Q: 5. The motion of the shock absorber is modelled by the function, h(t) = e-0.5t sint. 3 a) Identify…

A:

Q: 2. Find the point where the tangent line to the curve f(x) = x²lnxis horizontal

A:

Q: 17 0 dx √|x-1|

A: The objective of the question is evaluate the definite integral.

Q: Test the series for convergence or divergence. Σ(-1) + ¹4ne-n n = 1 O converges O diverges

A:

Q: a=, b= a) a-2b b) a + b c) à b d) The angle between a and b =) Find all vectors which are twice as…

A: We need to solve vector problem..

Q: 3. S (5y-4)dy y³+4y²

A: We know, ∫dx/x= ln|x|

Q: Find the limit of the following sequence or determine that the sequence diverges. 22 {(1-²)} n…

A:

Q: Which of the following equations represents the nth term of the arithmetic sequence? 17, 24, 31, 38,…

A:

Q: What is the 8th partial sum of 10,000-2,000+400-80+7 Round your answer to the thousandths place.…

A: The given sequence is: 10000-2000+400-80+... To find the 8th partial sum.

Q: 2. S (x²–5x+3)dx x3-4x²+3x

A:

Q: If two terms of an arithmetic sequence are a₁₁ = 26 and 815 = -10, what is 828? -226 O-217 O-127…

A: I have stated the used formula in the solution.

Q: Find y′′ y = -3x4(4x+6)2

A: Recall: Power rule; dxndx=nxn-1 Given, y = -3x4(4x+6)2

Q: Evaluate the double integral (x² + 2y) dA, where D is bounded by y = x, y = x³, and x ≥ 0.

A:

Q: 6. If a = 2, b = 2√√3, y = 30°, solve for c and 3.

A: In a triangle, the given measures are a=2, b=23, γ=30°

Q: K Graph the curve whose parametric equations are given and show its orientation. Find the…

A: Solution is here

Q: Let = [1, -1, 1], [-2, -1, 3] and = [-1, 2, 2]. Find (u ×7)•w: O-14 07 O 10 Does not exist

A:

Q: Question 4 Find the power series for 2xe² by differentiating power series representation of ex. Also…

A:

Q: This exercise uses the population growth model. A certain species of bird was introduced in a…

A: Let P be the population,t be the time and k be the growth constant. We know that exponential growth…

Q: A student was asked to determine the y-intercept for the logarithmic function f(x) = log₂(x + 3) +…

A:

Q: Find the breakeven point of the following functions: C(x) = 5x - 7 R(x) = 2x Approximately (2,…

A:

Q: A parking garage bases its prices on the number of hours that a vehicle parks in the garage. 14 13…

A: Here we will find the pricing scheme ,

Q: Which of the following graphs represents (x-2)² + (y+4)² = 257 1. le - 4 - 7 . $ 4 2 2 2

A: