1+ cost -dt = со 1- cost True

Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

A: Given that: f(θ)=2sec3θ

Q: faywyn = fæwwyy fææryy xyx xxxYy True False

A: Given :

Q: Show that In x lim x→1 x – 1 1.

A: To prove: limx→1 ln xx-1 =1 limx→1 ln xx-1 =00 form L'Hospital's Rule tells us that if we have an in...

Q: If the solution of y' = 2(2x - y) passes through the point (0,1), determine x when y = 7.

A:

Q: Consider the following revenue function, where R is measured in dollars. R = 80x – 2.5x2 dR Find the...

A:

Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

A:

Q: Variable Separable (8) dx dy e 3x+2y; Provide the explicit solution (9) secx dy = sec 2ydx

A:

Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

A: Given that: f(x)=ax+bcx+d

Q: dt 15+2t-t

A:

Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

A:

Q: Exact Differential Equations (2xy + 1)dx + (x² + 4y)dy = 0 (18) (6xy + 2y? – 5)dx + (3x2 + 4xy – 6)d...

A: First I have written the definition of exact differential equation and it's solution rule, just use ...

Q: 3. (а) х-ахis (b) y-axis y-4-

A:

Q: Compute the directional derivative in the direction of v at the given point. f(x. y) = xy - x, v=i-j...

A:

Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: State the name of the property illustrated below. 4. /8 = /8 •4 Choose the correct answer below. Ass...

A:

Q: Find a parametrization of the circle of radius 8 in the xy-plane, centered at (1,−4), oriented count...

A:

Q: the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t . A) ...

A:

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point. H...

A: We know that d/dx(xn)=nxn-1

Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cosx, ...

A:

Q: 14. Consider the function f(x) = xª – 2x?. %3D - a) Find the interval(s) where the function is incre...

A:

Q: Estimate the slope f'(3.5) for f(x) = sin(3x) using: %3D a. Forward difference approximation with h ...

A:

Q: 1 The function is equivalent to the series: 1-2t Select the correct response: 3 5 -1 -t--t2 2 t3 + ....

A:

Q: Pescribe how the graph of the function g(x) = - x can be obtained from the basic graph. Then graph t...

A: f(x) = xmultiply  by 1414f(x) =14 x      ( Vertical Shrink by 14)now multiply by (-) sign -14f(x) =-...

Q: 1 I. Evaluate dV, where E lies between the spheres x? + y² + z² = 1 and x2 + y? + z² E x2 + y? + z? ...

A:

Q: 1. For the function g(t) whose graph is given below, state the value of each, if it exists. If it do...

A:

Q: Given the set of information, find a linear equation f(x) satisfying the conditions, if possible. (I...

A:

Q: 2. Let R be the region bounded by y = 4x – 2x²,y = x. Provide an accurațe graph of the functions abo...

A: Given query is to find the draw the graph and then find intersection points and area of the region b...

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

A:

Q: Evaluate  ∫√(1-7x^2) dx

A:

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A: Given: V(t)=14550e-0.169t

Q: Find a vector function that represents the curve of intersection of the paraboloid z=7x^2+5y^2 and t...

A:

Q: 4. Find and completely simplify the 6th term in the binomial expansion of: (2x - "

A:

Q: Find two sets of symmetric equations of the line through the points (1,2,1) and (5, –1,1).

A:

Q: Find a set of basic vectors {ü, i} in R“ so that every vector in the solution set of the equations c...

A:

Q: S In²sinx -dx , the integrand is In the expression /= tanx Insinx A tanx B -Insin3x+C 3 In?sinx tanx...

A:

Q: x° + x dx Vx3

A:

Q: 10 dS (3t2-12t-15)dt %3D

A:

Q: "Jung Kook PROBLEM SOLVING" Jung Kook stayed at McDonald's and ordered a cup of hot coffee. When the...

A:

Q: 4. Calculate the following iterated integrals by hand. Show all steps. (a) (b) (c) -dr dy

A:

Q: Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

A:

Q: 4. Use the graph to find the following characteristics of a polynomial? K/5 4) Use the given graph t...

A:

Q: A glacier in Republica was observed to advance (h)2.5______ inches in a (i)____71_______ minute peri...

A: This is a basic problem of calculus

Q: 1. Let f(r, y) = arctan(ry). (a) Find the unit vector in the direction where the directional derivat...

A:

Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

A:

Q: kf (x) dx =k ] f(x)dx Jas(a))dx=f (x) +C D

A:

Q: What is the measure of the focal width of the parabola y+2y+4x-3=0 ?

A:

Q: 3. Construct a table of values to investigate the following limits: 10 a. lim T→3 x – 2 10 b. lim T→...

A:

Q: 2. Complete the following tables of values f(x) -1 -0.8 -0.35 -0.1 -0.09 -0.0003 -0.000001

A:

Q: de (x-3)Vx2-6x+5 arcsec + C; and 0.0008 none of the choices arcsec + C; and 0.0174 arcsec + C; and o...

A:

Q: Find the unit tangent vector at the indicated point of the vector function r(t)=e^(18t) cos t i+e^(1...

A: