(1)(3)(4)A. Write out all the corresponding angles in questions 1,2,33, and 41. ∠AGF=CHG,∠AGH=CHE,∠RGF=DHG,∠DHE=RGH2. ∠AIF=CJI,∠CJE=AIJ,∠FIB,IJD,∠EJD=JIB3. ∠AKF=CLK,∠AKL=CLE,∠FKB=KLD,∠BKL=DLE4∠AMF=CNM,∠CNE=AMN,∠FMB=MND,∠DNE=EB. Write out all the interior angles in questions 1,2,3, and 41.2.3.4 Get tutor help2/3 Points]DETAILSPREVIOUS ANSWERSSCALCET9 14.6.055.If f(x,y)=xy, find the gradient vector \(\newlineabla f(6,5) \).ablaf(6,5)=⟨5,6⟩Use the gradient vector to find the tangent line the level curve f(x,y)=30 at the point (6,5) Get tutor helpSpring Break Problem 2No calculator is allowed for these problems.3. Let f(x)=e2x. Let R be the region in the first quadrant bounded by the graph of f, the coordinate axes, and the vertical line x=k, where k>0. The region R is shown in the figure above.(a) Write, but do not evaluate, an expression involving an integral that gives the perimeter of R in terms of k.(b) The region R is rotated about the x-axis to form a solid. Find the volume, R0, of the solid in terms of k.(c) The volume R0, found in part (b), changes as k changes. If R4, determine R5 when R6. Get tutor helpTrigonometrySine, cosine, and tangent ratios: Numbers for side lengthsA right triangle has side lengths 5,12, and 13 as shown below.Use these lengths to find tanA, sinA, and cosA.\begin{aligned}
&\tan A=\
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