Find the curvature of the curve r(t).r(t) = (7 + ln(sec t))i + (4 + t)k, -?/2 < t < ?/2
A. ? = -cos t
B. ? = sin t
C. ? = cos t
D. ? = 1 - cos t
Answer: C
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Express the integrand as a sum of partial fractions and evaluate the integral.
A. 
- 10x + 75 ln
+ 
+ C
B. 75 ln
+ 
- 
+ C
C. 
- 10x + 15 ln
- 
+ C
D. 
- 10x - 75 ln
+ 
+ C
Calculate the area of the surface S.S is the cap cut from the paraboloid z = 
- 7x2 - 7y2 by the cone z = 
.
A. 
B. 
C. 
D. 
Provide an appropriate response.Carpet selling for $6.90 per square yard is marked down to $5.60 per square yard. What was the percent decrease? (Round answer to nearest tenth of a percent.)
Fill in the blank(s) with the appropriate word(s).
First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.f(x) = 2x2 + 14x - 36
A. x-intercepts: -9 and -2; y-intercept: 0 B. x-intercepts: 9 and -2; y-intercept: 36 C. x-intercepts: -9 and 2; y-intercept: -36 D. x-intercepts: 9 and 2; y-intercept: -14