f(x) %3D * c= 1

Q: Find the derivative of f( x) = 8 2.5". f'(x) =

A: To find the derivative of f(x) = 8 · 2.5x

Q: A patio is shaped like the trapezoid shown. 4 yd 3 yd 5 yd What is the area of the patio in square y...

A: Area is the space covered by the object or any geometric figure. It is the region bounded by the sha...

Q: Find f if f"(x) =2 + cos(x), f(0) = 10, f(t/2) = -5. f(x) = |

A: To find f if f"x=2+cosx, f0=10, fπ2=-5. Solution: We have, f"x=2+cosx Integrating both sides, we get...

Q: ng trigo V4 - x dx マ。

A: Given:  I= ∫x3 4-x2dx       put  4-x2= t       ⇒ -2x dx=dt    ⇒ dx=dt-2x          I= ∫x3 t dt-2x    ...

Q: Monica saved $400 and then spent $48 on some new clothes. What percentage of her savings did she spe...

A: given,      Monica saved $400 and then spent $48 on some new clothes.

Q: 1. Given the function x² – 3x + 164 f(x) = { x > 3 3x + 155 x < 3' Answer the following: (a) Find f(...

A: Answer a)  for x=3 ;                       f(x)= x2-3x+164                    f(3)= (3)2-3(3)+164   ...

Q: Problem is attached! Stuck! Please help! Thank you!

A: To sketch the region enclosed the given curves:- x = 6y2x = 1+5y2

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 2 cos?(x) – 4 sin(x), ...

A: Given: fx=2cos2x-4sinx, 0≤x≤2π To Find: a. Interval on which f is increasing and decreasing.b. Local...

Q: Find the equation of the tangent line of the curve

A: Given,cotx+y-sinx-y=1differentiating both the sides w.r.t.x-cosec2x+y1+dydx-cosx-y1-dydx=0-cosec2x+y...

Q: A particle is moving in a straight line according to the linear position function s(t)=t^3−9t^2+ 24t...

A: To find: The total distance traveled by the particle in first 6 second. Given: The position function...

Q: Find the radius of the largest conical tent that can be constructed having a slant height of 10 inch...

A: The slant height of the tent is 10 inches. Assume the height of the cone is h and radius of the cone...

Q: In  the given  equation as follows , find the Maclaurin series for the function. Use the table of po...

A: In  the given  equation as follows , find the Maclaurin series for the function. Use the table of po...

Q: Equation of a Tangent Line: Find the standard (slope-intercept form) equation of the tangent line to...

A: Calculate the value of the function at x=1. f1=13+2=3

Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the va...

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again, differentia...

Q: I need help with #9-32 )just for extra practice)

A: # We are entitled to answer three sub-parts. Please resubmit the question which you wish to get answ...

Q: Simplify the function before differentiating 1 f(x) = Ve 3x 3x f(x) = e 2 (Simplify your answer.) d ...

A: Differentiation:        It is the process of finding the derivative, or rate of change, of a functio...

Q: Q2 Start with a circle of radius 4 unite. Draw the second circle with radius 2 and the third one of ...

A: To find: The sum of the area of the circle. Formula used: The area of the circle having radius r is ...

Q: 3n 5n Wi

A: Given infinite series is: ∑n=1∞3n3+2n-55n5+n2+10 We have to test the convergence of the above series...

Q: Lines in 2d: Determine the parametric, vector and scalar equations for line passing through (-2,11) ...

A:   Given :            to find parametric equations through a point (-2,11) and (6,1)                 ...

Q: While evaluating the integral - dx, using the technique of Partial Fractions, the value of 12x + 32 ...

A: We have, ∫x+1x2-12x+32dx   Basically we are interested in partial fraction of this. Here we can rewr...

Q: Determine whether the alternating series,converges or diverges.

A: Here we have, ∑n=1∞(-1)n+1n+4(n+1)(n+2)=∑n=1∞an ⇒an=(-1)n+1n+4(n+1)(n+2)  

Q: FIND X COS xdx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: (1) If f(x) = x°, then f'(x) Preview (2) If g(x) = - 2x4, then g'(x) Preview 1 then h'(x) x4 (3) If ...

A: 1) If fx=x9 then,  f'x=9x8   2) if gx=-2x4 then, g'x=-8x3

Q: Calculus Question

A: we will answer the first question since exact one was not specified. Please resubmit the question an...

Q: Find the domain and range of  f(x)= 3x3+2x2-6

A: Domain: Domain of a function the function is collection of all the value of x for which the given fu...

Q: Find the equation of the normal line of the curve

A: Solution:Giveny2-xey-1+x3=7   at (2,1)To find the equation of normalFormula:Equation of normaly-y1=-...

Q: Indeterminate Forms: Use L'Hospital's Rule to evaluate the given limit.

A: Given: to evaluate the given limit using L'Hospital's Rule

Q: Follow the prompt for Precalculus 1. Thanks for your work, I will like and rate.

A: Given,cos2uwe know that,cos2x=cos2x-sin2xtherefore,Using the identity sin2x+cos2x=1cos2u=cos2u-1-cos...

Q: please help  me solve

A: To identify the odd/even function:Even function: The graph is symmetric about y-axisOdd function: Th...

Q: Consider the following function and express the relationship between a small change in x and the cor...

A:

Q: Find the derivative of f (x) = e(x3 − 10x2 + 8 ) .

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It...

Q: Determine the area under the parametric curve given by the following equations

A: Given: x=6(β-sinβ)y=6-6cosβ

Q: Can you please solve this question by using derivatives?

A:

Q: Rational Curve Sketching

A:

Q: The height of a tree is approximated by h(t) = 48/ (1 + 240e^−0.2t) where t is the age of the tree i...

A: An exponential function can be solved by using the logarithmic operator on the expression. The logar...

Q: Solve #6  y'cosx= ysinx+sin(2x)

A: To solvey'cosx=ysinx+sin2x.

Q: х+ sin 2x lim х-2 х — sin 2x O 2 О 13 O -3 О 12 O other:

A: To find: limx→2 x+sin2xx-sin2x  

Q: Determine whether the vector field is conservative. If it is, find a potential function for the vect...

A: According to the problem, we get

Q: 2 steps.

A: Here we have to prove, sinx·cosxtanx=cos2x    

Q: The inside of a refrigerator measures 25 inches by 19 inches by 58 inches.What is the volume of the ...

A: Since, it is given that the inside of a refrigerator measures 25 inches by 19 inches by 58 inches.Th...

Q: ASAP HELP. Highlight the answer thank you. Please show your work neatly

A: Here we have to find the trigonometric integral,  ∫11-sinθdθ

Q: Problem is attached! Need help, Stuck! Please and thank you!

A: Subtract the lower function from the upper function and integrate the function between the limits 1 ...

Q: If ∫?(?)??=13and ∫?(?)??=4, find)[3?(?)+4?(?)]34??**SHOW EVERY STEP USING THE PROPERTIES OF INTEGRAL...

A: If ∫07f(x)dx=13 and ∫07g(x)dx=4Find ∫073f(x)+4g(x)dx

Q: 3.3-The chain rule Questions If f(x) (2x + 4)2, find f'(x). • Q1 (0/5) Q 2 (0/5) • Q 3 (0/5) • Q 4 (...

A:

Q: 1. Find the total differential of the ff. at (1, -2). f (x, y) = xy² – 3y + 2 Your answer

A: The total differential of a function, f(x,y) with continuous first partial derivatives is given by d...

Q: ASAP HELP. Highlight the answer thank you. Please show your work neatly

A: The given nth term of a sequence is as follows - an = 5n-1n! We have to find first 5 terms of the ab...

Q: storage shed is to be built in the shape of a box with a square base. It is to have a volume of 891 ...

A: Given : Volume = 891 cubic feet. Base cost = $4 per square foot Material for the roof cost = $7 per ...

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 8 ...

A:

Q: Evaluate the integral from 0 to pi/4: ∫tan4t dt

A: here we use trigonometric identity  tan2x=sec2x-1 and, integration from 0 to π4

Q: Let f and g be functions such that f(2)=4, f'(2)=6, g(2)= 2, and g'(2)=-3. If ℎ(x)=f(g(x)), then ℎ'(...

A: Given: f(2)=4, f'(2)=6, g(2)= 2, and g'(2)=-3.