Question 7 What is the exact value of Show your work tan(ese-¹(-)), csc PENCIL THIN BLACK

Q: 5 x√x-1 dx

A:

Q: 8. A laptop computer's battery has a voltage drop modelled by the function t V(t) = 20e 16, where V…

A: A laptop computer's battery has a voltage drop modelled by the function  where V is measured in…

Q: For the following lines: L₁: x =− 3 + 3t, y =− 1 + 4t and L₂: 2 a) Determine the point of…

A:

Q: True or false: limx→+0+ f(x) = -2₁f f(x)= 2-X², XLO 2x-2, x10

A:

Q: Find a parametrization of the tangent line to r(t) = (ln(t))i +t-¹¹j + 8tk at the point t = 1. (Use…

A:

Q: 2. Which polar coordinate pairs label the same point? a. (-2, π/3) b. (2,-π/3) c. (r, 0) d. (r, 0 +…

A: We have to find the pair that labels the same point in polar coordinates.According to our guidelines…

Q: Which of the following describes the first order differential equation? dy dx = = 3y2 + sin(8x) y +…

A:

Q: 2. m, ne N. (a) You are given that limx→ (x log x) lim [xm (log x)"] X→0 Use L'Hôpital's rule to…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: e) Plane that is parallel to the xy-plane that contains the point A(2, 1, 3) (ca

A:

Q: A pole of length L is carried horizontally around a corner where a 3-ft-wide hallway meets a…

A: We have to find the value of .

Q: For the functions w = xy + yz + xz, x=3u + 2v₁ y = 3u-2v, and z= uv, express Ju and using the chain…

A:

Q: A rate of change of H is given by d = k(5 + H). When t = 0, H = 4. When t = 3, H = 10. Solve for…

A: A rate of change of H is given by .So,        Given that t=0, H = 4 => H(0)=4and when t=3, H=10…

Q: the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the points…

A:

Q: dy dx = (y +9)(y-9), where y(0) = 8 The partial fraction constants in the partial-fraction method…

A:

Q: Apply the midpoint and trapezoid rule to the following integral. Calculate the approximations and…

A: Let's solve the integral using midpoint method.So we divide interval [1,5] into 8 subinterval of…

Q: Find the vector equation of the plane that contains the parallel lines [x, y, z]= [0,1,3] + [-6,…

A:

Q: Use the definition of the derivative to find g'(x) g(x)= (3x) / (x-2) , g'(x)= (-6) / (x-2)^2

A: Let a function f( x ) then according to the definition of derivative Given function

Q: Find Vf at the given point. f(x,y,z)=x² + y² - 3z²+z Inx. (1,4,3) Vf|(1,4,3)+(+(k (Simplify your…

A: Given:We are required to find:

Q: Five commuter trains and three express buses depart from city A to City B in the morning, and four…

A: Three commuter trains and five express buses depart from city A to City B in the morning, Number of…

Q: Let g(x)=3x²-6x-5 Find a. g (-2) | b. g(0) c. g(-3a)

A:

Q: V². (2² + y²) and above by the sphere 2² = 10²-x² - y². Provide an answer accurate to at least 4…

A:

Q: । -2 3 -3 2 4 6 j (.) 8 10 I

A:

Q: Compute the derivative (r₁(t) r₂(t)) if r₁(t) = (t³, 1³, 16) r₂(t) = (e²¹, est, e7t) (Use symbolic…

A:

Q: dy 7. a) Prove that, So √at-yt [ro] 4a√2π

A:

Q: The number of children in a church is increasing at a rate that is proportional to the number of…

A:

Q: Solve the following equations on 0≤0≤2π. 2 cos²x+3sin x = 3 tan²x-1= sec x

A:

Q: Determine all possible values of 0, 0≤0 ≤2л, if cot 0 = -√3 cos²6 =1/12

A: We know that cos positive 1St and 4th quadrantAnd tan positive 1St and 3Rd quadrant

Q: q 22. 16 determine the magnitude and direction of the vector v = and also show that  v = |v|u ,…

A:

Q: Suppose an experimental population of amoeba increases according to the law of exponential growth.…

A:

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A:

Q: 2. Given that lim x-3 2 x² +ax+b x² + ax+b x²-9 2 lim x-4 the values and a and b. 2 x-9 and = 2,…

A:

Q: (-8,2) (-2,0.7) 10- (-6,-2) (-3,-2) 10

A:

Q: The slope of the line normal to the curve ex- x³ + y2 =10 at the point (0, 3) is: A. -1/6 B. 1/6 C.…

A: Equation of curve,Point

Q: (3) Let F(x) = — and g(x)=3x-5 F(x)g (x) 1) Find lim x +2 2) Find f(g(x)) and the natrual domain 3)…

A:

Q: 1. Determine vector and parametric equations for the line with z-intercept 4 and is parallel to the…

A: To determine the vector and parametric equations for the line with -intercept 4 and is parallel to…

Q: 8. Find y'if y = x³ +sin (x)

A:

Q: x+4 In (9-x) Determine where f(x) is continuous, algebraically. (Enter your answer using interval…

A:

Q: Let f(x) = In(x) and g(x) = log3x. For all x>1, f(x) < g(x) O True O False

A:

Q: The value of g 28 is -2.269. True False

A: The expression given is,

Q: A population of frogs has 100 frogs on day 4 and 300 frogs on day 20. Let F(t) be the number of…

A:

Q: f=i-j g= 12i+ 3j Find: -4f-10g

A:

Q: 2. Differentiate a) each of the following functions. Leave in unsimplified form. b) f(x) =…

A: 2)a) y=x6+5 sqrt(x)b) f(x)=3sinx - cos4xDifferenciate the given functions.

Q: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

A: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

Q: Evaluate the following improper integral whenever it is convergent. 4 [ * / / dx

A:

Q: 1. Differentiate. a) f(x) = x43x b) g(x) = x² — e√x -

A: We need to perform differentiation.

Q: - Q1. Consider the function f (x) = − tan(x − π). a. Determine f '(x). b. Determine the slope of the…

A: Consider the function (a) To determine .(b) To determine the slope of the tangent to the curve  at…

Q: 2 5-x dy + xydx = 0

A:

Q: Let r(t) = (²,1-1,4t). Calculate the derivative of r(t) a(t) at t = 5 assuming that a(5) = (5,-8,6)…

A: Given that .We have to calculate the derivative of  at .

Q: I cant read that, hense the new submittal of the question.

A: First of all let we are differentiating with respect to xdifferentiating of implicit function mean…

Q: Parametrize the intersection of the surfaces x² + y² = z², 5y = z² using t = z as parameter. (Use…

A: To parametrize the Intersection of given surface .